Capra, Zukov, Gribbin are all over 80+ years old now…

Gary Zukov was in his late thirties when he wrote his Dancing Wu Li Masters. It further built on Fritjov Capra’s Tao of Physics. Both Zukov and Capra are still alive: 80+ years now. Both books still sell well, just like John Gribbin’s In Search of Schrödinger’s cat. I quote from Amazon’s sales headline for the latter:

“Quantum theory is so shocking that Einstein could not bring himself to accept it. It is so important that it provides the fundamental underpinning of all modern sciences. Without it, we’d have no nuclear power or nuclear weapons, no TV, no computers, no science of molecular biology, no understanding of DNA, no genetic engineering.”

Einstein could not bring himself to accept it, right? And TV or nuclear power or molecular biology would never have seen the light without Bohr and Heisenberg taking over from Einstein, Lorentz, or de Broglie, right? […] Plain nonsense. Einstein’s revolution is over. It is about time the likes of Zukov, Capra, Gribbin and their contemporaries – Hossenfelder, Lee Smolin, Sean Carroll, etcetera – accept it: Einstein was right along, and accusing Einstein of not having an open mind – he pioneered the true bedrock of physics: relativity theory, didn’t he? – sounds nuts to me.[1]

I am wondering if a book like the one I am thinking of – some kind of exchange between the wisdom that generations hand over – would ever make for a bestseller. Probably not. In any case, I want to write the first pages of such a book here.

Fields, charge, and energy concepts

Papa, I understand your particle theory now. It explains the diffraction pattern on the detector plate when you send electrons through a slit. I can also see why this two-slit interference pattern is just a superposition of two one-slit diffraction patterns. No mystery. Agreed. But photons?

What do you mean?

Your explanation of electron interference does away with interference. It explains this arriving of one electron – arriving as the lump it always one – when going through a slit or past the edge of a far more massive and complicated structure or system of charged oscillations. But in the one-photon Mach-Zehnder experiment – or when measuring radio signal strengths at a distance – we have photons – or half-photons (the linear components of circularly polarized photons – I am just quoting your own theory here) – coming together and vanishing (destructive interference) or – quite the opposite – combining into some new photon with twice the energy of the incoming full- or half-photons?

You are now fully grown up – a promising young adolescent with an MD degree – and so you should think for yourself now. The dominating Copenhagen interpretation of quantum mechanics tells us that Nature is just some kind of black box, and the best we can do is to think of some input-output relations to describe what goes in and what comes out. I have been fighting on many fronts, and I first wanted to get my matter-particle model right. I should now go back to these experiments demonstrating how light interference might or might not work. They all involve an apparatus which is referred to as an interferometer. There are various types around, but the Michelson-Morley interferometer still describes the basic components. We have a light source, some mirrors and one or more beam splitters – which are, basically, still simple half-silvered mirrors. The beam splitter splits the beam, and the mirrors are then adjusted so as to produce constructive or destructive interference.

The classical explanation is easy enough: the two beams arrive in phase or, alternatively, out of phase and we, therefore, have constructive or destructive interference when recombining them. However, when we want to analyze this in terms of one single photon, this classical picture becomes quite complicated. Physicists will tell you the photon cannot actually split itself, and they will start talking about amplitudes – based on which they will calculate probabilities of this or that happening – but they will never explain what is actually happening.

I always told you it should be possible to develop a classical picture of all of this, and that classical picture of what is happening in terms of photons would be pretty much like what is shown below. Photons arrive in lumps too, but a circularly polarized photon can be split into two linearly polarized half-photons – just like an electromagnetic wave that is circularly polarized. There is no mystery: the wave components – linear or circularly polarized photons – have the same properties as the wave. 😊

Papa, I do not get the recombination stuff when we are talking photons. Where is the energy going? These idealized experiments show that we always get a recombined beam with the same frequency – or one that vanishes – but, according to classical theory, we must have in-between realities. When the phase difference between the two incoming beams is small, its amplitude is going to be much larger. To be precise, it is going to be twice the amplitude of the incoming beams for Δ = 0. In contrast, if the two beams are out of phase, the amplitude is going to be much smaller, and it is going to be zero if the two waves are 180 degrees out of phase (Δ = π), as shown below. That does not make sense because twice the amplitude means four times the energy, and zero amplitude means zero energy. The energy conservation law is being violated: photons are being multiplied or, conversely, are being destroyed.

Darling, you must remember light-particles are fundamentally different from matter-particles. There is no kinetic energy: no physical charge in a weird dance. Field energy is like the field itself: we are talking a force without a charge to act upon. The superposition principle in physics applies to fields in a very different way than it applies to charged particles. Bose-Einstein versus Fermi-Dirac statistics. Photons – light-particles in general – ‘occupy’ space very differently than matter-particles: they can literally be on top of each other if they are all in phase or – conversely – out of phase. In the first case, they combine to produce twice the energy. Because photon frequencies and amplitudes do not change, it looks like the number of photons must double. Conversely, field energies combine to make photons with opposite phase vanish into nothing. It is a weird thing, perhaps – but it makes sense to me. All that I know is that we should not substitute this coherent world view for the guru-like models that have been perpetuated by Heisenberg and Bohr. [I explicitly exclude Born, because I think his interpretation of the wavefunction as a hardcore probability distribution function based on energy densities made sense.]

You should read Lamb’s Anti-Photon article once more. It has (almost) all of the answers. Fields exchange energy with matter-particles in quantized units only. It is all very marvelous but not mysterious.[2]

Are fields potential energy?

Not quite. The physical dimension of an electric or magnetic field, a potential, energy itself (kinetic or potential energy), are all different, and you need to keep track of those dimensions when analyzing interference or how the superposition principle comes into play. But I would be rewriting a lot of what I wrote already to convey the deeper understanding you need.

Fritjov Capra started off the right footing when he wrote out his motivation: “Science does not need mysticism and mysticism does not need science. But man needs both.” That is about all we have in common. Too bad he didn’t do more with it. But modern-day physicists do not do much more, either.

What do you mean?

Einstein never got a Nobel Prize for his relativity theory. This Stockholm Royal Academy of Sciences makes weird decisions. Just last year, they gave a Nobel Prize to a climate change denier. There is something rotten in academia, but it will take a while before academia (or the Stockholm Royal Academy of Sciences) recognizes that. In the meanwhile, Alfred Nobel must be turning around in his grave. I cannot imagine Einstein would worry about it. 😊  

Brussels, 12 September 2023


[1] I warmly recommend reading Einstein’s articles directly. His 1905 article on special relativity theory toys and plays with ideas (such as the idea of an electron having some lateral mass in its motion – which I subscribe to: too bad Einstein did not explore Schrödinger’s Zitterbewegung hypothesis) like no one else can. Accusing Einstein of a lack of imagination – which is what is implied here – is utterly nonsensical.

[2] Pages 148-153 of my manuscript have the basic explanation of one-photon Mach-Zehnder interference. Go have a look. I should write it all out, but I was born lazy. 😊

Another tainted Nobel Prize…

Last year’s (2022) Nobel Prize in Physics went to Alain Aspect, John Clauser, and Anton Zeilinger for “for experiments with entangled photons, establishing the violation of Bell inequalities and pioneering quantum information science.”

I did not think much of that award last year. Proving that Bell’s No-Go Theorem cannot be right? Great. Finally! I think many scientists – including Bell himself – already knew this theorem was a typical GIGO argument: garbage in, garbage out. As the young Louis de Broglie famously wrote in the introduction of his thesis: hypotheses are worth only as much as the consequences that can be deduced from it, and the consequences of Bell’s Theorem did not make much sense. As I wrote in my post on it, Bell himself did not think much of his own theorem until, of course, he got nominated for a Nobel Prize: it is a bit hard to say you got nominated for a Nobel Prize for a theory you do not believe in yourself, isn’t it? In any case, Bell’s Theorem has now been experimentally disproved. That is – without any doubt – a rather good thing. 🙂 To save the face of the Nobel committee here (why award something that disproves something else that you would have given an award a few decades ago?): Bell would have gotten a Nobel Prize, but he died from brain hemorrhage before, and Nobel Prizes reward the living only.

As for entanglement, I repeat what I wrote many times already: the concept of entanglement – for which these scientists got a Nobel Prize last year – is just a fancy word for the simultaneous conservation of energy, linear and angular momentum (and – if we are talking matter-particles – charge). There is ‘no spooky action at a distance’, as Einstein would derogatorily describe it when the idea was first mentioned to him. So, I do not see why a Nobel Prize should be awarded for rephrasing a rather logical outcome of photon experiments in metamathematical terms.

Finally, the Nobel Prize committee writes that this has made a significant contribution to quantum information science. I wrote a paper on the quantum computing hype, in which I basically ask this question: qubits may or may not be better devices than MOSFETs to store data – they are not, and they will probably never be – but that is not the point. How does quantum information change the two-, three- or n-valued or other rule-based logic that is inherent to the processing of information? I wish the Nobel Prize committee could be somewhat more explicit on that because, when everything is said and done, one of the objectives of the Prize is to educate the general public about the advances of science, isn’t it? :-/

However, all this ranting of mine is, of course, unimportant. We know that it took the distinguished Royal Swedish Science Academy more than 15 years to even recognize the genius of an Einstein, so it was already clear then that their selection criteria were not necessarily rational. [Einstein finally got a well-deserved Nobel Prize, not for relativity theory (strangely enough: if there is one thing on which all physicist are agreed, it is that relativity theory is the bedrock of all of physics, isn’t it?), but for a much less-noted paper on the photoelectric effect – in 1922: 17 years after his annus mirabilis papers had made a killing not only in academic circles but in the headlines of major newspapers as well, and 10 years after a lot of fellow scientists had nominated him for it (1910).]

Again, Mahatma Gandhi never got a Nobel Price for Peace (so Einstein should consider himself lucky to get some Nobel Prize, right?), while Ursula von der Leyen might be getting one for supporting the war with Russia, so I must remind myself of the fact that we do live in a funny world and, perhaps, we should not be trying to make sense of these rather weird historical things. 🙂

Let me turn to the main reason why I am writing this indignant post. It is this: I am utterly shocked by what Dr. John Clauser has done with his newly gained scientific prestige: he joined the CO2 coalition! For those who have never heard of it, it is a coalition of climate change deniers. A bunch of people who:

(1) vehemently deny the one and only consensus amongst all climate scientists, and that is the average temperature on Earth has risen with about two degrees Celsius since the Industrial Revolution, and

(2) say that, if climate change would be real (God forbid!), then we can reverse the trend by easy geo-engineering. We just need to use directed energy or whatever to create more white clouds. If that doesn’t work, then… Well… CO2 makes trees and plants grow, so it will all sort itself out by itself.

[…]

Yes. That is, basically, what Dr. Clauser and all the other scientific advisors of this lobby group – none of which have any credentials in the field they are criticizing (climate science) – are saying, and they say it loud and clearly. That is weird enough, already. What is even weirder, is that – to my surprise – a lot of people are actually buying such nonsense.

Frankly, I have not felt angry for a while, but this thing triggered an outburst of mine on YouTube, in which I state clearly what I think of Dr. Clauser and other eminent scientists who abuse their saint-like Nobel Prize status in society to deceive the general public. Watch my video rant, and think about it for yourself. Now, I am not interested in heated discussions on it: I know the basic facts. If you don’t, I listed them here. Look at the basic graphs and measurements before you would want to argue with me on this, please! To be clear on this: I will not entertain violent or emotional reactions to this post or my video. Moreover, I will delete them here on WordPress and also on my YouTube channel. Yes. For the first time in 10 years or so, I will exercise my right as a moderator of my channels, which is something I have never done before. 🙂

[…]

I will now calm down and write something about the mainstream interpretation of quantum physics again. 🙂 In fact, this morning I woke up with a joke in my head. You will probably think the joke is not very good, but then I am not a comedian and so it is what it is and you can judge for yourself. The idea is that you’d learn something from it. Perhaps. 🙂 So, here we go.

Imagine shooting practice somewhere. A soldier fires at some target with a fine gun, and then everyone looks at the spread of the hits around the bullseye. The quantum physicist says: “See: this is the Uncertainty Principle at work! What is the linear momentum of these bullets, and what is the distance to the target? Let us calculate the standard error.” The soldier looks astonished and says: “No. This gun is no good. One of the engineers should check it.” Then the drill sergeant says this: “The gun is fine. From this distance, all bullets should have hit the bullseye. You are a miserable shooter and you should really practice a lot more.” He then turns to the academic and says: “How did you get in here? I do not understand a word of what you just said and, if I do, it is of no use whatsoever. Please bugger off asap!

This is a stupid joke, perhaps, but there is a fine philosophical point to it: uncertainty is not inherent to Nature, and it also serves no purpose whatsoever in the science of engineering or in science in general. All in Nature is deterministic. Statistically deterministic, but deterministic nevertheless. We do not know the initial conditions of the system, perhaps, and that translates into seemingly random behavior, but if there is a pattern in that behavior (a diffraction pattern, in the case of electron or photon diffraction), then the conclusion should be that there is no such thing as metaphysical ‘uncertainty’. In fact, if you abandon that principle, then there is no point in trying to discover the laws of the Universe, is there? Because if Nature is uncertain, then there are no laws, right? 🙂

To underscore this point, I will, once again, remind you of what Heisenberg originally wrote about uncertainty. He wrote in German and distinguished three very different ideas of uncertainty:

(1) The precision of our measurements may be limited: Heisenberg originally referred to this as an Ungenauigkeit.

(2) Our measurement might disturb the position and, as such, cause the information to get lost and, as a result, introduce an uncertainty in our knowledge, but not in reality. Heisenberg originally referred to such uncertainty as an Unbestimmtheit.

(3) One may also think the uncertainty is inherent to Nature: that is what Heisenberg referred to as Ungewissheit. There is nothing in Nature – and also nothing in Heisenberg’s writings, really – that warrants the elevation of this Ungewissheit to a dogma in modern physics. Why? Because it is the equivalent of a religious conviction, like God exists or He doesn’t (both are theses we cannot prove: Ryle labeled such hypotheses as ‘category mistakes’).

Indeed, when one reads the proceedings of the Solvay Conferences of the late 1920s, 1930s and immediately after WW II (see my summary of it in https://www.researchgate.net/publication/341177799_A_brief_history_of_quantum-mechanical_ideas), then it is pretty clear that none of the first-generation quantum physicists believed in such dogma and – if they did – that they also thought what I am writing here: that it should not be part of science but part of one’s personal religious beliefs.

So, once again, I repeat that this concept of entanglement – for which John Clauser got a Nobel Prize last year – is in the same category: it is just a fancy word for the simultaneous conservation of energy, linear and angular momentum, and charge. There is ‘no spooky action at a distance’, as Einstein would derogatorily describe it when the idea was first mentioned to him.

Let me end by noting the dishonor of Nobel Prize winner John Clauser once again. Climate change is real: we are right in the middle of it, and it is going to get a lot worse before it gets any better – if it is ever going to get better (which, in my opinion, is a rather big ‘if‘…). So, no matter how many Nobel Prize winners deny it, they cannot change the fact that average temperature on Earth has risen by about 2 degrees Celsius since 1850 already. The question is not: is climate change happening? No. The question now is: how do we adapt to it – and that is an urgent question – and, then, the question is: can we, perhaps, slow down the trend, and how? In short, if these scientists from physics or the medical field or whatever other field they excel in are true and honest scientists, then they would do a great favor to mankind not by advocating geo-engineering schemes to reverse a trend they actually deny is there, but by helping to devise and promote practical measures to allow communities that are affected by natural disaster to better recover from them.

So, I’ll conclude this rant by repeating what I think of all of this. Loud and clear: John Clauser and the other scientific advisors of the CO2 coalition are a disgrace to what goes under the name of ‘science’, and this umpteenth ‘incident’ in the history of science or logical thinking makes me think that it is about time that the Royal Swedish Academy of Sciences does some serious soul-searching when, amongst the many nominations, it selects its candidates for a prestigious award like this. Alfred Nobel – one of those geniuses who regretted his great contribution to science and technology was (also) (ab)used to increase the horrors of war – must have turned too many times in his grave now… :-/

Cold fusion (LENR) revisited…

One of the nice things that happened to me on this rather weird exploration of the world of quantum physics – a journey which I now want to leave behind, because I found what I wanted to find: a common-sense interpretation of it all, and a concise model of elementary particles – was that, back in 2020, I was invited to join a low-key symposium on cold fusion (or ‘low energy nuclear reactions’, as the field is now referred to): RNBE-2020. That was followed by rather intense exchanges with a few scientists who work or worked on a theory centered around the concept of deep nuclear electron orbitals. All very interesting, because it confirmed what I think is the case in this field: there are some crooks around, but most research is done by very honest and integer scientists, albeit – admittedly – it’s all a bit on the fringes of mainstream theory.

I summed up my rather skeptical conclusions on these conversations in a 2021 blog post here: cold and hot fusion – just hot air? The ‘hot’ in the title of that post does not refer to real hot nuclear fusion (because that is not just ‘hot’ but extremely hot: we are not talking thousands but millions degrees Celsius here). No, we refer to the rather high temperatures of things like the hydrino scheme which – in my not-so-humble view – has seriously damaged the credibility of the field: these high temperatures are still – visibly – in the thermal range. Indeed, I looked at the videos, and I just see some kind of small copper alloy furnaces melting away. Now, copper alloys melt around 1000° C, and burning hydrogen yields temperatures around 2000° C. Hence, in the absence of any other evidence (such as spectroscopic measurements), I conclude these BLP experiments are just burning ordinary hydrogen. That is sad, because cold fusion and LENR already suffered from poor reputation.

But so I had long email exchanges on more interesting things, and that was nice. Going back to the possibility of deep electron orbitals being real, somehow, I initially entertained the rather vague idea that – who knows, right? – the mix of Zitterbewegung charges (positive and negative) – which, in my ‘mass-without-mass’ model of elementary particles, have zero rest mass – might, perhaps, combine in nuclear oscillations that have not been modeled so far. Indeed, when everything is said and done, I myself broke my teeth – so to speak – on trying to model the neutron itself – stable only inside of a nucleus – as a neutral ring current or nuclear ‘glue’ between protons. I did not succeed, but I still believe it should be possible. And if an analytical model could be found to model the motion of multiple pointlike zbw charges as a stable equilibrium that – as a whole – respects the Planck-Einstein relation, then we might, perhaps, also discover novel ways to unleash the binding energy between them, right?

So, these are some of the good things I want to – carefully and prudently – state about the field. I must now say why I am and remain skeptical. It is fair to say that everyone can easily see and verify how the energy of say, a photon in a laser beam, can dissipate away and, in the process, trigger very different reactions. Reactions that one would not associate with the energies of the incoming photons: all these reactions would qualify as some kind of anomalous heat, I would think. Think, for example, of using a high-powered laser to cut small tree branches, which is possible now. I have not studied the mechanics of this (too bad because I’ve been wanting to study the mechanics of lasers for many years now, but I never found the time to dig into Einstein’s or other theories on how it works – not approximately, but exactly), but I can easily see how the process of Compton scattering would explain why a substantial part of the energy of the photons would be absorbed by (1) outgoing photons with lower energy and (2) electrons with substantially higher kinetic energies. This kinetic energy would then redistribute all over the system (not only other electrons but even the massive nuclei at the center of each atomic and molecular system inside of these easy-to-burn materials, be they paper, carton, or wood). In short, we get heat: thermal energy. And quite a lot of it.

However, this process involves triggering lower-energy reactions: thermal or chemical reactions (fire actually is chemistry). [Also, you can easily see a lot of energy gets lost: using a 2000 W laser to cut branches that are only a few cm in diameter is not very energy-efficient, right? This is a point which I also talk about in my previous post on LENR: what is the energy balance? What is the total input energy and what is the nuclear fuel, respectively, and how do these two elements combine to make you think you’d get net energy out of the whole process?]

Regardless of the total energy equation (input – output), the first question is the more relevant one, because it goes to the core of the what and how of LENR. My blunt appraisal here is that of other skeptics: I cannot imagine how the energy in laser photons could – somehow – build up a sufficient reservoir of energy, to then reach a threshold and trigger an outright and proper nuclear or high-energy reaction.

If it is possible at all, it would have to be some kind of resonance process: a lower frequency feeding into a much higher-frequency phenomenon and gradually increasing its amplitude. How would it do that? That is simple. Harmonic oscillations have several natural frequencies, and the lower-energy oscillation can feed into one or more of these. See my post on music and math for an analytical explanation or – if you want something simpler – just think of a child on a swing, which – once in a while – you give an extra push in the back. You do not necessarily have to do that each and every time the swing comes back. No: you don’t need to push each and every time but, if you do push, you have to do at the right time. 🙂

Going back to LENR, we may think the frequency of a laser may feed into a nuclear oscillation, gradually increasing its amplitude, until the accumulated energy is sufficiently high and reaches some threshold triggering a proper nuclear or high-energy reaction. Frankly, I think this possibly could explain low-energy nuclear reactions. So, yes, it might be possible.

At the same time, I think it is rather unlikely. Why? At the smallest of scales, the Planck-Einstein relation holds, and so we have discrete energy states. These discrete energy states of protons, electrons, nuclei, atoms or molecules as a whole do not have any in-between states in which you can dump excess or surplus energy from somewhere outside. A photon-electron interaction triggers a reaction, and that’s not gradually but (almost) instantly. So, energy is being emitted as soon as it absorbed. Disequilibrium states do not last very long: atomic systems go back to equilibrium very quickly, and any excess energy is quickly emitted by photons or absorbed as internal heat, which is a (very) low-energy oscillation of the massive bits in whatever material you are using in these experiments (most experiments are on palladium, and the discussions on the effects impurities might have in the experiments are – frankly – a bit worrying). In any case, the point is that these disequilibrium states do surely not last long enough to entertain the kind of resonance processes that, say, made the Tacoma Bridge collapse. :-/ To make a long story short, I am and remain skeptical.

However, to my surprise, I was invited to join in a Zoom e-call, and listen to the rather interesting discussion on the future of both the French and International Society for Condensed Nuclear Matter (SFCMNS and ISCMNS, respectively – I will not put the links because they are both revamping their website now) after they had wrapped up their 25th International Conference.

What I saw and heard, made me quite happy: these were all honest and critical scientists looking at real-life experiments that do yield surprising results. Result that contradict my rather skeptical theoretical arguments (above) against LENR being possible. I also noted the Anthropocène Institute invests in them. I also note Nobuo Tanaka, former Executive Director of the International Energy Agency (not to be confused with the International Atomic Energy Agency!), spoke at ICCF-24, plus a lot of other very serious people. Also, it is quite obvious that nuclear energy is no longer out. On the contrary, it is in again and – as part of new investments in nuclear research – I think the LENR field should also be reconsidered, despite its chequered past. I also note LENR research in Japan is getting a lot more funding than research in the EU or the US, so perhaps they are seeing something that we do not see (it would be interesting to check what happens in the patents or IPR area on this). 🙂

So, all these considerations add up to more than enough – to me, at least – to continue giving these researchers the benefit of the doubt. We live in a fascinating world and, as the Wikipedia article on cold fusion notes, the discovery of the Mössbauer and other strange nuclear effects was also rather unexpected – in the sense that it had not been foreseen or predicted by some theorist. I do, therefore, not agree with the same Wikipedia article dismissing LENR as ‘pathological‘ or ‘cargo cult‘ science.

If anything, I think mainstream research sometimes also suffers from what critics say of the LENR field: “people are tricked into false results … by subjective effects, wishful thinking or threshold interactions.” But that is only a personal and non-relevant remark, as I am quitting my hobbyist study of physics now. It has lasted long enough (over a decade, really) and – as mentioned a few times already – I think I sort of get it now. As Feynman famously said in the Epilogue to his Lectures: “After all, it isn’t as horrible as it looks.”

I might add: I think the end of physics is near. All that’s left, is engineering. And quite a lot of it. 🙂

The shortest introduction to physics – ever !

My ‘last’ post talks about the end of physics as a science: nothing or nothing much is left to explain but – of course – a lot of engineering is left to be done! 😉

I thought it would really be my last post, but then I thought I’d also do a short video on my YouTube channel, and so I did that. This is the link to what I titled: “The shortest introduction to quantum physics – ever!

Have a look and see if you like it ! If you do it, do leave a comment ! 🙂

The End of Physics

I wrote a post with this title already, but this time I mean it in a rather personal way: my last paper – with the same title – on ResearchGate sums up rather well whatever I achieved, and also whatever I did not explore any further because time and energy are lacking: I must pay more attention to my day job nowadays. 🙂

I am happy with the RG score all of my writing generated, the rare but heartfelt compliments I got from researchers with far more credentials than myself (such as, for example, Dr. Emmanouil Markoulakis of Nikolaos, which led me to put a paper on RG with a classical explanation of the Lamb shift), various friendly but not necessarily always agreeing commentators (one of them commenting here on this post: a good man!), and, yes, the interaction on my YouTube channel. But so… Well… That is it, then! 🙂

As a farewell, I will just quote from the mentioned paper – The End of Physics (only as a science, of course) – hereunder, and I hope that will help you to do what all great scientists would want you to do, and that is to think things through for yourself. 🙂

Brussels, 22 July 2023

Bohr, Heisenberg, and other famous quantum physicists – think of Richard Feynman, John Stewart Bell, Murray Gell-Mann, and quite a few other Nobel Prize winning theorists[1] – have led us astray. They swapped a rational world view – based on classical electromagnetic theory and statistical determinism – for a mystery world in which anything is possible, but nothing is real.

They invented ‘spooky action at a distance’ (as Einstein derogatorily referred to it), for example. So, what actually explains that long-distance interaction, then? It is quite simple. There is no interaction, and so there is nothing spooky or imaginary or unreal about it: if by measuring the spin state of one photon, we also know the spin state of its twin far away, then it is – quite simply – because physical quantities such as energy and momentum (linear or angular) will be conserved if no other interference is there after the two matter- or light-particles were separated.

Plain conservation laws explain many other things that are being described as ‘plain mysteries’ in quantum physics. The truth is this: there are no miracles or mysteries: everything has a physical cause and can be explained.[2] For example, there is also nothing mysterious about the interference pattern and the trajectory of an electron going through a slit, or one of two nearby slits. An electron is pointlike, but it is not infinitesimally small: it has an internal structure which explains its wave-like properties. Likewise, Mach-Zehnder one-photon interference can easily be explained when thinking of its polarization structure: a circularly polarized photon can be split in two linearly polarized electromagnetic waves, which are photons in their own right. Everything that you have been reading about mainstream quantum physics is, perhaps, not wrong, but it is highly misleading because it is all couched in guru language and mathematical gibberish.

Why is that mainstream physicists keep covering up? I am not sure: it is a strange mix of historical accident and, most probably, the human desire to be original or special, or the need to mobilize money for so-called fundamental research. I also suspect there is a rather deceitful intention to hide truths about what nuclear science should be all about, and that is to understand the enormous energies packed into elementary particles.[3]

The worst of all is that none of the explanations in mainstream quantum physics actually works: mainstream theory does not have a sound theory of signal propagation, for example (click the link to my paper on that or – better, perhaps – this link to our paper on signal propagation), and Schrödinger’s hydrogen model is a model of a hypothetical atom modelling orbitals of equally hypothetical zero-spin electron pairs. Zero-spin electrons do not exist, and real-life hydrogen only has one proton at its center, and one electron orbiting around it. Schrödinger’s equation is relativistically correct – even if all mainstream physicists think it is not – but the equation includes two mistakes that cancel each other out: it confuses the effective mass of an electron in motion with its total mass[4], and the 1/2 factor which is introduced by the m = 2meff substitution also takes care of the doubling of the potential that is needed to make the electron orbitals come out alright.

The worst thing of all is that mainstream quantum physicists never accurately modeled what they should have modeled: the hydrogen atom as a system of a real proton and a real electron (no hypothetical infinitesimally and structureless spin-zero particles). If they had done that, they would also be able to explain why hydrogen atoms come in molecular H2 pairs, and they would have a better theory of why two protons need a neutron to hold together in a helium nucleus. Moreover, they would have been able to explain what a neutron actually is.[5]


[1] James Stewart Bell was nominated for a Nobel Prize, but died from a brain hemorrhage before he could accept the prize for his theorem.

[2] The world of physics – at the micro-scale – is already fascinating enough: why should we invent mysteries?

[3] We do not think these energies can be exploited any time soon. Even nuclear energy is just binding energy between protons and neutrons: a nuclear bomb does not release the energy that is packed into protons. These elementary particles survive the blast: they are the true ‘atoms’ of this world (in the Greek sense of ‘a-tom’, which means indivisible).

[4] Mass is a measure of the inertia to a change in the state of motion of an oscillating charge. We showed how this works by explaining Einstein’s mass-energy equivalence relation and clearly distinguishing the kinetic and potential energy of an electron. Feynman first models an electron in motion correctly, with an equally correct interpretation of the effective mass of an electron in motion, but then substitutes this effective mass by half the electron mass (meff = m/2) in an erroneous reasoning process based on the non-relativistic kinetic energy concept. The latter reasoning also leads to the widespread misconception that Schrödinger’s equation would not be relativistically correct (see the Annexes to my paper on the matter-wave). For the trick it has to do, Schrödinger’s wave equation is correct – and then I mean also relativistically correct. 🙂

[5] A neutron is unstable outside of its nucleus. We, therefore, think it acts as the glue between protons, and it must be a composite particle.

On the quantum computing hype

1. The Wikipedia article on quantum computing describes a quantum computer as “a computer that exploits quantum -mechanical phenomena.” The rest of the article then tries to explain what these quantum-mechanical phenomena actually are.

Unfortunately, the article limits itself to the mainstream interpretation of these and, therefore, suffers from what I perceive to be logical and philosophical errors. Indeed, in the realistic interpretation of quantum mechanics that I have been developing, system wavefunctions are only useful to model our own uncertainty about the system. I subscribe to Hendrik Antoon Lorentz’s judgment at the last Solvay Conference under his leadership: there is no need whatsoever to elevate indeterminism to a philosophical principle. Not in science in general, and not in quantum mechanics in particular. I, therefore, think quantum mechanics cannot offer a substantially new computing paradigm.

Of course, one may argue that, for specific problems, some kind of three- or more-valued logic – rather than the binary or Boolean true/false dichotomy on which most logic circuits are based – may come in handy. However, such logic has already been worked out, and can be accessed using appropriate programming languages. Python and the powerful mathematical tools that come with it (Pandas, NumPy and SciPy) work great with ternary logic using a {true, false, unknown} or a {-1, 0, +1} set of logical values rather than the standard {0, 1} Boolean set. The Wikipedia article on three-valued logic is worth a read and, despite the rather arcane nature of the topic, much better written than the mentioned article: have a look at how operators are used on these three-valued sets in meaningful algebras or logical models, such as that of Kleene, Priest or Lukasiewicz.

2. One may, of course, argue that, even when there is probably no such thing as a new logical quantum computing model or logic, quantum technology may offer distinct advantages when it comes to storage of data about this or that state or, one day, lead to devices with faster clock and/or bus speeds. That appears to be a pipedream too:

  • To keep, say, an electron in this or that spin state, one must create and steady an electromagnetic field – usually one does so in a superconducting environment, which makes actual mechanical devices used for quantum computing (qubits) look like the modern-day equivalent of Babbage’s analytical machine. In my not-so-humble view, such devices will never ever achieve the sheer material performance offered by current nanometer-scale MOSFETs.  

  • As for bus or transmission speeds, quantum theory does not come with a new theory of charge propagation and, most importantly, is fundamentally flawed in its analysis of how signals actually propagate in, say, a lattice structure. I refer to one of my papers here (on electron propagation in a lattice), in which I deconstruct Feynman’s analysis of the concept of the free and effective mass of an electron. Hence, for long-distance transmission of signals, optical fiber cannot be beaten. For short-distance transmission of signals (say, within an electrical circuit, I refer to the above-mentioned nano-technology which continues to revolutionize the chip industry.

Brussels, 4 July 2023

Epilogue: an Easter podcast

I have been thinking on my explanation of dark matter/energy, and I think it is sound. It solves the last asymmetry in my models, and explains all. So, after a hiatus of two years, I bothered to make a podcast on my YouTube channel once again. It talks about everything. Literally everything !

It makes me feel my quest for understanding of matter and energy – in terms of classical concepts and measurements (as depicted below) – has ended. Perhaps I will write more but that would only be to promote the material, which should promote itself if it is any good (which I think it is).

I should, by way of conclusion, say a few final words about Feynman’s 1963 Lectures now. When everything is said and done, it is my reading of them which had triggered this blog about ten years ago. I would now recommend Volume I and II (classical physics and electromagnetic theory) – if only because it gives you all the math you need to understand all of physics – but not Volume III (the lectures on quantum mechanics). They are outdated, and I do find Feynman guilty of promoting rather than explaining the hocus-pocus around all of the so-called mysteries in this special branch of physics.

Quantum mechanics is special, but I do conclude now that it can all be explained in terms of classical concepts and quantities. So, Gell-Mann’s criticism of Richard Feynman is, perhaps, correct: Mr. Feynman did, perhaps, make too many jokes – and it gets annoying because he must have known some of what he suggests does not make sense – even if I would not go as far as Gell-Mann, who says “Feynman was only concerned about himself, his ego, and his own image !” :-/

So, I would recommend my own alternative series of ‘lectures’. Not only are they easier to read, but they also embody a different spirit of writing. Science is not about you, it is about thinking for oneself and deciding on what is truthful and useful, and what is not. So, to conclude, I will end by quoting Ludwig Boltzmann once more:

Bring forward what is true.

Write it so that it is clear.

Defend it to your last breath.”

Ludwig Boltzmann (1844 – 1906)

Post scriptum: As for the ‘hocus-pocus’ in Feynman’s Lectures, we should, perhaps, point once again to some of our early papers on the flaws in his arguments. We effectively put our finger on the arbitrary wavefunction convention, or the (false) boson-fermion dichotomy, or the ‘time machine’ argument that is inherent to his explanation of the Hamiltonian, and so on. We published these things on Academia.edu before (also) putting our (later) papers ResearchGate, so please check there for the full series. 🙂

Post scriptum (23 April 2023): Also check out this video, which was triggered by someone who thought my models amount to something like a modern aether theory, which it is definitely not the case: https://www.youtube.com/watch?v=X38u2-nXoto. 🙂 I really think it is my last reflection on these topics. I need to focus on my day job, sports, family, etcetera again ! 🙂

An antiforce to explain dark matter?

If you are interested in physics and cosmological theories, then you will know all research has been shaken up by the discovery of dark matter and dark energy. The fact of the matter is this: in 2011, a Nobel Prize was awarded to different teams of astronomers who, independently, discovered a whole lot of matter in our Universe – most matter in the Universe, actually – and that mainstream physicists have no idea about how to go about it in terms of modeling its structure and true nature: it seems quantum field theory and confined quarks and gluons and color charges are pretty useless in this regard.

The discovery goes back to 1998 (so it took the Nobel Prize committee more than ten years to verify it or to see its enormous value as a discovery), and is duly reported in the Wikipedia article on the cosmological constant because of its implications, although I have issues with the contributor to that article talking about ‘a repulsive force’ that would counterbalance the gravitational braking produced by the matter contained in the universe’: that sounds whacky to me. 🙂

The bottom line is this: according to research quoted by NASA, roughly 68% of the Universe would be dark energy, while dark matter makes up another 27%. Hence, all normal matter – including our Earth and all we observe as normal matter outside of it – would add up to less than 5% of it. Hence, NASA rightly notes we should, perhaps, not refer to ‘normal’ matter as ‘normal’ matter at all, since it is such a small fraction of the universe!

Now, as mentioned above: theoretical physicists have no clue about the nature of this dark matter. As our modeling of electrons and protons as two- and three-dimensional electromagnetic oscillations has provided easy answers to difficult questions, we thought we might, perhaps, explore one particularity of the electromagnetic force. Indeed, the electromagnetic force introduces this weird asymmetry in Nature: we know that, in our world, the magnetic field lags the electric field. The phase difference is 90 degrees, and you probably have a good mental image of that electric and magnetic field vector oscillating up and down and also moving together along a line in space. [If not, have a look at this GIF animation in the Wikipedia article on Maxwell’s equations. It shows a linearly polarized wave: both the electric and magnetic field vector oscillate along a straight line rather than rotating around (as they would do in a circularly or elliptically polarized wave).]

Of course, you may not think of this as a necessary asymmetry: if the magnetic field vector were to be 180 degrees out of phase with the electric field vector, then that would make no sense because the magnetic and electric field vectors would be working against each other. Also, we would have no propagation mechanism and all that. In fact, we would have no electromagnetic force theory and we would, quite simply, not be here to write this.

However, that is not what I mean by an asymmetry: what I am saying is that we can imagine another alternative. We can imagine the magnetic field vector to lead instead of to lag in regard to the electric field vector. Hence, Occam’s Razor tells us we should seriously consider such force actually exists! The situation is not unlike how the positron was discovered: people start looking for it because, in the math of his wave equation, Dirac saw positrons could possibly exist. Once people started seriously considering it, they actually found it (Anderson, 1932).

Exceptional measurements require exceptional explanations and so, yes, we thought: why not apply Occam’s Razor once more? Our idea of an antiforce is or was the one degree of freedom in our mathematical representation of matter-particles that we had not exploited yet[1], so our intuition tells us it might be worth considering.

Have a look at it (click the link to our RG paper here). It is a very short and crisp paper, and we think of it as fun to read but that is, of course, for you to judge. 🙂


[1] Truth be told, we were not aware or intrigued by the idea of dark matter or energy about a year ago. We can, however, now see we are actually closing and exploiting an aspect of our modeling of the electromagnetic force which we had not seen before. The history of science shows Occam’s Razor is a good guide for getting at the right model, and so we feel our rather radical use of this principle – in the tradition of P.A.M. Dirac and others, indeed! – may yield interesting results once more.

Cargo cult science

From my last post, which talks about movies and space travel, it is obvious I am in a rather meditative mood. Besides movies, I have also been watching Richard Feynman’s 1979 Auckland lectures (video link here) which were ultimately transcribed into what might well be Feynman’s most popular book: The Strange Theory of Light and Matter. I wrote quite a few posts on that (the link on the title will get you to one, or you can also use the search facility on this blog: just type ‘strange theory of light and matter’ and off you go).

In those posts, I do not argue with the story Feynman tells us about how QED ‘works’: I only try to show it is all far less mysterious than both he as well as the author of that little booklet make it out to be. Amplitudes and the coupling constant (which is nothing but the fine-structure constant) are not mysterious: we get them from Nature’s constants (the electron charge and its energy, basically), and then we just need to combine it with an idea of what photons actually are: lightparticles that carry the electromagnetic force. So QED is just electrodynamics but, yes, you need quantum theory because – at the smallest of scales – electromagnetic waves resolve into photons. Real photons. Not virtual ones.

The interesting thing about these lectures – which he gave in last decade of his life (he died in 1988, at a relatively young age) – is that Feynman also explains the basics of QCD: quantum chromodynamics. He explains quark flavors and colors in a rather lighthearted way. I wonder whether he truly believed the QCD theory was any good. We wrote a rather hard-hitting critique of it in our first paper on ResearchGate, in which I refer to the theory as ‘smoking gun physics’, my term for what Feynman referred to as ‘cargo cult science’: something “which has the semblance of science, but is only pseudoscience due to a lack of “a kind of scientific integrity, a principle of scientific thought that corresponds to a kind of utter honesty” on the part of the scientist.” My critique focused on what empirical evidence we actually have for the theory, and did not mention two more fundamental theoretical objections:

(1) the fact that Feynman’s ‘one-color’ parton model offer an equal number of ‘variables’ to explain what might be going on in the field of QCD (so the theory does not respect Occam’s Razor principle: alternative models are possible and the model must, therefore, have too many ‘degrees of freedom’); and

(2) those weird quark mass numbers: why would we ‘invent’ particles that have larger masses than the particles we are trying to explain?

I debunked quite a few ‘mysteries’ in Feynman’s presentations (e.g., his explanation of the boson-fermion dichotomy, or his explanation of 720-degree symmetries in quantum physics), so I think of him as a bit of a ‘mystery wallah‘ as well. Maybe I should bring it all together, one day. But I am not sure if I have the energy and time, and if people are actually still interested in it. We all seem to have more pressing worries now: that war in Ukraine is not good. :-/ We are all being misled on it.

That is probably why it makes me think scientists can be misled on a large scale too, which is why my qualification of the Standard Model of physics as ‘cargo cult science’ may now, perhaps, sound somewhat less offensive to those reading me here. 🙂

Post scriptum (19 March 2023): I wrote out a few things – on how and where things went wrong in the history of thought in this field – in a new paper: The Emperor Wears No Clothes: The Non-Standard Model of Quantum Physics. Check it out! 🙂

Movies, space travel and life elsewhere

I went to see the follow-up to Avatar (‘The Way of Water’). It took over 10 years to produce it. Indeed, how time flies: the first ‘Avatar’ was released in 2009 and was, apparently, the highest grossing film of all times (according to Wikipedia, at least). This installment is not doing badly either in terms of revenue and popularity but, frankly, I found it rather underwhelming. This may be because of the current international situation. Indeed, I wonder why American soldiers must always be the ‘true’ space explorers in such movies. Why not some friendly Chinese or Indian explorers? Fortunately, it will be a while before mankind will be able to build spaceships that can travel at speeds that would allow us to visit, say, the Gliese 667 Cc planet, which may well be the nearest planet that is inhabitable (practically speaking), but which is about 22 lightyears away, so that would be a few thousand years of travel with our current spacecraft. Mankind will have to find a way to keep our own planet inhabitable for some more time… Planets like Gliese 667 Cc and other exoplanets that may have life like we know it, will be safe from us for quite a while. 🙂

These are rather philosophical thoughts, but they came up as I was adding an annex to my one and only paper on cosmology, in which I argue there are no mysteries left: the question of ‘dark matter’ is solved when we think of it as anti-matter, and even the accelerating rate of expansion of the Universe could probably be explained by assuming our Universe is just a blob in a larger cluster of universes. These other universes are, obviously, beyond our horizon: that horizon is just the age of the Universe, which is currently estimated to be about 13.8 billion (109) years and which determines the limits of the observable Universe. Hence, not only can we not see or know the outer edges of our Universe (because those outer parts moved further out in the meanwhile, and at the rather astonishing speed of 2c/3, and so must assume the end-to-end distance across the Universe is of the order of 46 billion lightyears), but we would also never see the other universes that are tearing our own Universe apart, so to speak.

By the way, this thought is quite consistent with an earlier thought I had – much before I even knew about this acceleration in the expansion of our Universe when thinking about the Big Bang theory: I always wondered why the coming-into-being of our Universe should be such simple linear and unique process. Why not think of several Big Bangs at different places and times? So, if other universes would exist and tear ours apart, so to speak, then here you have the explanation !

[…]

However, I am not writing this post to share some assumptions or observations. It is to share this thought: is it not strange to think we know all about how reality works (as mentioned, I think there are no real questions or mysteries left in the science of physics) but that, at the same time, we are quite alone with our science and technology here on Earth?

Indeed, other forms of intelligent life are likely (highly likely, in light of the rather incredible size of the Universe), but they are too far away to be relevant to us: probably hundreds or even thousands of lightyears away, rather than only 20 or 40 of lightyears, which is the distance to the nearest terrestrial exoplanets, such as the mentioned Gliese 667 Cc planet. So we know it all and we relish in such knowledge and then, one day, we just die?

It is a strange thought, isn’t it? :-/

Onwards !

It has been ages since I last wrote something here. Regular work took over. I did do an effort, though, to synchronize and reorganize some stuff. And I am no longer shy about it. My stats on ResearchGate and academia.edu show that I am no longer a ‘crackpot theorist’. This is what I wrote about it on my LinkedIn account:

QUOTE

With good work-life balance now, I picked up one of my hobbies again: research into quantum theories. As for now, I only did a much-needed synchronization of papers on academia.edu and ResearchGate. When logging on the former network (which I had not done for quite a while), I found many friendly messages on it. One of them was from a researcher on enzymes: “I have been studying about these particles for around four years. All of the basics. But wat are they exactly? This though inspired me… Thank u so much!” I smiled and relaxed when I read that, telling myself that all those sleepless nights I spent on this were not the waste of time and energy that most of my friends thought it would be. 🙂

Another one was even more inspiring. It was written by another ‘independent’ researcher. Nelda Evans. No further detail in her profile. From the stats, I could see that she had downloaded an older manuscript of mine (https://lnkd.in/ecRKJwxQ). This is what she wrote about it to me: “I spoke to Richard Feynman in person at the Hughes Research Lab in Malibu California in 1967 where the first pulsed laser was invented when some of the students from the UCLA Physics Dept. went to hear him. Afterward I went to talk to him and said “Dr. Feynman, I’ve learned that some unknown scientists were dissatisfied with probability as a final description of Quantum Mechanics, namely Planck, Einstein, Schrodinger, de Broglie, Bohm,…” When I finished my list he immediately said “And Feynman”. We talked about it a little, and he told me “I like what you pick on.”
My guess is that he might have told you something similar.”

That message touched me deeply, because I do feel – from reading his rather famous Lectures on Physics somewhat ‘between the lines’ – that Richard Feynman effectively knew all but that he, somehow, was not allowed to clearly say what it was all about. I wrote a few things about that rather strange historical bias in the interpretation of ‘uncertainty’ and other ‘metaphysical’ concepts that infiltrated the science of quantum mechanics in my last paper: https://lnkd.in/ewZBcfke.

So… Well… I am not a crackpot scientist anymore ! 🙂 The bottom-line is to always follow your instinct when trying to think clearly about some problem or some issue. We should do what Ludwig Boltzmann (1844-1906) told us to do: “Bring forward what is true. Write it so that it is clear. Defend it to your last breath.”

[…] Next ‘thing to do’, is to chat with ChatGPT about my rather straightforward theories. I want to see how ‘intelligent’ it is. I wonder where it will hit its limit in terms of ‘abstract thinking.’ The models I worked on combine advanced geometrical thinking (building ‘realistic’ particle models requires imagining ‘rotations within rotations’, among other things) and formal math (e.g. quaternion algebra). ChatGPT is excellent in both, I was told, but can it combine the two intelligently? 🙂

UNQUOTE

On we go. When the going gets tough, the tough get going. 🙂 For those who want an easy ‘introduction’ to the work (at a K-12 level of understanding of mathematics), I wrote the first pages of what could become a very new K-12 level textbook on physics. Let us see. I do want to see some interest from a publisher first. 🙂

Pair creation and annihilation

I had been wanting to update my paper on matter-antimatter pair creation and annihilation for a long time, and I finally did it: here is the new version of it. It was one of my early papers on ResearchGate and, somewhat surprising, it got quite a few downloads (all is relative: I am happy with a few thousand). I actually did not know why, but now I understand: it does take down the last defenses of QCD- and QFT-theorists. As such, I now think this paper is at least as groundbreaking as my paper on de Broglie’s matter-wave (which gets the most reads), or my paper on the proton radius (which gets the most recommendations).

My paper on de Broglie’s matter-wave is important because it explains why and how de Broglie’s bright insight (matter having some frequency and wavelength) was correct, but got the wrong interpretation: the frequencies and wavelengths are orbital frequencies, and the wavelengths are are not to be interpreted as linear distances (not like wavelengths of light) but the quantum-mechanical equivalent of the circumferences of orbital radii. The paper also shows why spin (in this or the opposite direction) should be incorporated into any analysis straight from the start: you cannot just ignore spin and plug it in back later. The paper on the proton radius shows how that works to yield short and concise explanations of the measurable properties of elementary particles (the electron and the proton). The two combined provide the framework: an analysis of matter in terms of pointlike particles does not get us anywhere. We must think of matter as charge in motion, and we must analyze the two- or three-dimensional structure of these oscillations, and use it to also explain interactions between matter-particles (elementary or composite) and light-particles (photons and neutrinos, basically). I have explained these mass-without-mass models too many times now, so I will not dwell on it.

So, how that paper on matter-antimatter pair creation and annihilation fit in? The revision resulted in a rather long and verbose thing, so I will refer you to it and just summarize it very briefly. Let me start by copying the abstract: “The phenomenon of matter-antimatter pair creation and annihilation is usually taken as confirmation that, somehow, fields can condense into matter-particles or, conversely, that matter-particles can somehow turn into lightlike particles (photons and/or neutrinos, which are nothing but traveling fields: electromagnetic or, in the case of the neutrino, some strong field, perhaps). However, pair creation usually involves the presence of a nucleus or other charged particles (such as electrons in experiment #E144). We, therefore, wonder whether pair creation and annihilation cannot be analyzed as part of some nuclear process. To be precise, we argue that the usual nuclear reactions involving protons and neutrons can effectively account for the processes of pair creation and annihilation. We therefore argue that the need to invoke some quantum field theory (QFT) to explain these high-energy processes would need to be justified much better than it currently is.”

Needless to say, the last line above is a euphemism: we think our explanation is complete, and that QFT is plain useless. We wrote the following rather scathing appreciation of it in a footnote of the paper: “We think of Aitchison & Hey’s presentation of [matter-antimatter pair creation and annihilation] in their Gauge Theories in Particle Physics (2012) – or presentations (plural), we should say. It is considered to be an advanced but standard textbook on phenomena like this. However, one quickly finds oneself going through the index and scraping together various mathematical treatments – wondering what they explain, and also wondering how all of the unanswered questions or hypotheses (such as, for example, the particularities of flavor mixing, helicity, the Majorana hypothesis, etcetera) contribute to understanding the nature of the matter at hand. I consider it a typical example of how – paraphrasing Sabine Hossenfelder’s judgment on the state of advanced physics research – physicist do indeed tend to get lost in math.”

That says it all. Our thesis is that charge cannot just appear or disappear: it is not being created out of nothing (or out of fields, we should say). The observations (think of pion production and decay from cosmic rays here) and the results of the experiments (the mentioned #E144 experiment or other high-energy experiments) cannot be disputed, but the mainstream interpretation of what actually happens or might be happening in those chain reactions suffers from what, in daily life, we would refer to as ‘very sloppy accounting’. Let me quote or paraphrase a few more lines from my paper to highlight the problem, and to also introduce my interpretation of things which, as usual, are based on a more structural analysis of what matter actually is:

“Pair creation is most often observed in the presence of a nucleus. The role of the nucleus is usually reduced to that of a heavy mass only: it only appears in the explanation to absorb or provide some kinetic energy in the overall reaction. We instinctively feel the role of the nucleus must be far more important than what is usually suggested. To be specific, we suggest pair creation should (also) be analyzed as being part of a larger nuclear process involving neutron-proton interactions. […]”

“Charge does not get ‘lost’ or is ‘created’, but [can] switch its ‘spacetime’ or ‘force’ signature [when interacting with high-energy (anti)photons or (anti)neutrinos].”

“[The #E144 experiment or other high-energy experiments involving electrons] accounts for the result of the experiment in terms of mainstream QED analysis, and effectively thinks of the pair production being the result of the theoretical ‘Breit-Wheeler’ pair production process from photons only. However, this description of the experiment fails to properly account for the incoming beam of electrons. That, then, is the main weakness of the ‘explanation’: it is a bit like making abstraction of the presence of the nucleus in the pair creation processes that take place near them (which, as mentioned above, account for the bulk of those).”

We will say nothing more about it here because we want to keep our blog post(s) short: read the paper! 🙂 To wrap this up for you, the reader(s) of this post, we will only quote or paraphrase some more ontological or philosophical remarks in it:

“The three-layered structure of the electron (the classical, Compton and Bohr radii of the electron) suggest that charge may have some fractal structure and – moreover – that such fractal structure may be infinite. Why do we think so? If the fractal structure would not be infinite, we would have to acknowledge – logically – that some kind of hard core charge is at the center of the oscillations that make up these particles, and it would be very hard to explain how this can actually disappear.” [Note: This is a rather novel new subtlety in our realist interpretation of quantum physics, so you may want to think about it. Indeed, we were initially not very favorable to the idea of a fractal charge structure because such fractal structure is, perhaps, not entirely consistent with the idea of a Zitterbewegung charge with zero rest mass), we think much more favorably of the hypothesis now.]

“The concept of charge is and remains mysterious. However, in philosophical or ontological terms, I do not think of it as a mystery: at some point, we must, perhaps, accept that the essence of the world is charge, and that:

  • There is also an antiworld, and that;
  • It consists of an anticharge that we can fully define in terms of the signature of the force(s) that keep it together, and that;
  • The two worlds can, quite simply, not co-exist or – at least – not interact with each other without annihilating each other.

Such simple view of things must, of course, feed into cosmological theories: how, then, came these two worlds into being? We offered some suggestions on that in a rather simple paper on cosmology (our one and only paper on the topic), but it is not a terrain that we have explored (yet).”

So, I will end this post in pretty much the same way as the old Looney Tunes or Merrie Melodies cartoons used to end, and that’s by saying: “That’s all Folks.” 🙂

Enjoy life and do not worry too much. It is all under control and, if it is not, then that is OK too. 🙂

Dirac’s wave equation and particle models

Introduction

I had not touched physics since April last year, as I was struggling with cancer, and finally went in for surgery. It solved the problem but physical and psychological recovery was slow, and so I was in no mood to work on mathematical and physical questions. Now I am going through my ResearchGate papers again. I start with those that get a fair amount of downloads and – I am very pleased to see that happen – those are the papers that deal with very fundamental questions, and lay out the core of an intuition that is more widely shared now: physicists are lost in contradictions and will not get out of this fuzzy situation until they solve them.

[Skeptical note here: I note that those physicists who bark loudest about the need for a scientific revolution are, unfortunately, often those who obscure things even more. For example, I quickly went through Hossenfelder’s Lost in Math (and I also emailed her to highlight all that zbw theory can bring) but she did not even bother to reply and, more in general, shows no signs of being willing to go back to the roots, which are the solutions that were presented during the early Solvay conferences but, because of some weird tweak of the history of science, and despite the warnings of intellectual giants such as H.A. Lorentz, Ehrenfest, or Einstein (and also Dirac or Bell in the latter half of their lifes), were discarded. I have come to the conclusion that modern-day scientists cannot be fashionable when admitting all mysteries have actually been solved long time ago.]

The key observation or contradiction is this: the formalism of modern quantum mechanics deals with all particles – stable or unstable – as point objects: they are supposed to have no internal structure. At the same time, a whole new range of what used to be thought of as intermediate mental constructs or temporary classifications – think of quarks here, or of the boson-fermion dichotomy – acquired ontological status. We lamented that in one of very first papers (titled: the difference between a theory, a calculation and an explanation), which has few formulas and is, therefore, a much easier read than the others.

Some of my posts on this blog here were far more scathing and, therefore, not suitable to write out in papers. See, for example, my Smoking Gun Physics post, in which I talk much more loudly (but also more unscientifically) about the ontologicalization of quarks and all these theoretical force-carrying particles that physicists have invented over the past 50 years or so.

My point of view is clear and unambiguous: photons and neutrinos (both of which can be observed and measured) will do. The rest (the analysis of decay and the chain of reactions after high-energy collisions, mainly) can be analyzed using scattering matrices and other classical techniques (on that, I did write a paper highlighting the proposals of more enlightened people than me, like Bombardelli, 2016, even if I think researchers like Bombardelli should push back to basics even more than they do). By the way, I should probably go much further in my photon and neutrino models, but time prevented me from doing so. In any case, I did update and put an older paper of mine online, with some added thoughts on recent experiments that seem to confirm neutrinos have some rest mass. That is only what is to be expected, I would think. Have a look at it.

[…]

This is a rather lengthy introduction to the topic I want to write about for my public here, which is people like you and me: (amateur) physicists who want to make sense of all that is out there. So I will make a small summary of an equation I was never interested in: Dirac’s wave equation. Why my lack of interest before, and my renewed interest now?

The reason is this: Feynman clearly never believed Dirac’s equation added anything to Schrödinger’s, because he does not even mention it in his rather Lectures which, I believe, are, today still, truly seminal even if they do not go into all of the stuff mainstream quantum physicists today believe to be true (which is, I repeat, all of the metaphysics around quarks and gluons and force-carrying bosons and all that). So I did not bother to dig into it.

However, when revising my paper on de Broglie’s matter-wave, I realized that I should have analyzed Dirac’s equation too, because I do analyze Schrödinger’s wave equation there (which makes sense), and also comment on the Klein-Gordon wave equation (which, just like Dirac’s, does not make much of an impression on me). Hence, I would say my renewed interest is only there because I wanted to tidy up a little corner in this kitchen of mine. 🙂

I will stop rambling now, and get on with it.

Dirac’s wave equation: concepts and issues

We should start by reminding ourselves what a wave equation actually is: it models how waves – sound waves, or electromagnetic waves, or – in this particular case – a ‘wavicle’ or wave-particle – propagate in space and in time. As such, it is often said they model the properties of the medium (think of properties such as elasticity, density, permittivity or permeability here) but, because we do no longer think of spacetime as an aether, quantum-mechanical wave equations are far more abstract.

I should insert a personal note here. I do have a personal opinion on the presumed reality of spacetime. It is not very solid, perhaps, because I oscillate between (1) Kant’s intuition, thinking that space and time are mental constructs only, which our mind uses to structure its impressions (we are talking science here, so I should say: our measurements) versus (2) the idea that the 2D or 3D oscillations of pointlike charges within, say, an electron, a proton or a muon-electron must involve some kind of elasticity of the ‘medium’ that we commonly refer to as spacetime (I’d say that is more in line with Wittgenstein’s philosophy of reality). I should look it up but I think I do talk about the elasticity of spacetime at one or two occasions in my papers that talk about internal forces in particles, or papers in which I dig deep into the potentials that may or may not drive these oscillations. I am not sure how far I go there. Probably too far. But if properties such as vacuum permittivity or permeability are generally accepted, then why not think of elasticity? However, I did try to remain very cautious when it comes to postulating properties of the so-called spacetime vacuum, as evidenced from what I write in one of the referenced papers above:

“Besides proving that the argument of the wavefunction is relativistically invariant, this [analysis of the argument of the wavefunction] also demonstrates the relativistic invariance of the Planck-Einstein relation when modelling elementary particles.[1] This is why we feel that the argument of the wavefunction (and the wavefunction itself) is more real – in a physical sense – than the various wave equations (Schrödinger, Dirac, or Klein-Gordon) for which it is some solution. In any case, a wave equation usually models the properties of the medium in which a wave propagates. We do not think the medium in which the matter-wave propagates is any different from the medium in which electromagnetic waves propagate. That medium is generally referred to as the vacuum and, whether or not you think of it as true nothingness or some medium, we think Maxwell’s equations – which establishes the speed of light as an absolute constant – model the properties of it sufficiently well! We, therefore, think superluminal phase velocities are not possible, which is why we think de Broglie’s conceptualization of a matter particle as a wavepacket – rather than one single wave – is erroneous.[2]

The basic idea is this: if the vacuum is true nothingness, then it cannot have any properties, right? 🙂 That is why I call the spacetime vacuum, as it is being modelled in modern physics, a so-called vacuum. 🙂

[…] I guess I am rambling again, and so I should get back to the matter at hand, and quite literally so, because we are effectively talking about real-life matter here. To be precise, we are talking about Dirac’s view of an electron moving in free space. Let me add the following clarification, just to make sure we understand exactly what we are talking about: free space is space without any potential in it: no electromagnetic, gravitational or other fields you might think of.

In reality, such free space does not exist: it is just one of those idealizations which we need to model reality. All of real-life space – the Universe we live in, in other words – has potential energy in it: electromagnetic and/or gravitational potential energy (no other potential energy has been convincingly demonstrated so far, so I will not add to the confusion by suggesting there might be more). Hence, there is no such thing as free space.

What am I saying here? I am just saying that it is not bad that we remind ourselves of the fact that Dirac’s construction is theoretical from the outset. To me, it feels like trying to present electromagnetism by making full abstraction of the magnetic side of the electromagnetic force. That is all that I am saying here. Nothing more, nothing less. No offense to the greatness of a mind like Dirac’s.

[…] I may have lost you as a reader just now, so let me try to get you back: Dirac’s wave equation. Right. Dirac develops it in two rather dense sections of his Principles of Quantum Mechanics, which I will not try to summarize here. I want to make it easy for the reader, so I will limit myself to an analysis of the very first principle(s) which Dirac develops in his Nobel Prize Lecture. It is this (relativistically correct) energy equation:

E2 = m02c4 + p2c2

This equation may look unfamiliar to you but, frankly, if you are familiar with the basics of relativity theory, it should not come across as weird or unfathomable. It is one of the many basic ways of expressing relativity theory, as evidenced from the fact that Richard Feynman introduces this equation as part of his very first volume of his Lectures on Physics, and in one of the more basic chapters of it: just click on the link and work yourself through it: you will see it is just another rendering of Einstein’s mass-equivalence relation (E = mc2).

The point is this: it is very easy now to understand Dirac’s basic energy equation: the one he uses to then go from variables to quantum-mechanical operators and all of the other mathematically correct hocus-pocus that result in his wave equation. Just substitute E = mc2 for W, and then divide all by c2:

So here you are. All the rest is the usual hocus-pocus: we substitute classical variables by operators, and then we let them operate on a wavefunction (wave equations may or may not describe the medium, but wavefunctions surely do describe real-life particles), and then we have a complicated differential equation to solve and – as we made abundantly clear in this and other papers (one that you may want to read is my brief history of quantum-mechanical ideas, because I had a lot of fun writing that one, and it is not technical at all) – when you do that, you will find non-sensical solutions, except for the one that Schrödinger pointed out: the Zitterbewegung electron, which we believe corresponds to the real-life electron.

I will wrap this up (although you will say I have not done my job yet) by quoting quotes and comments from my de Broglie paper:

Prof. H. Pleijel, then Chairman of the Nobel Committee for Physics of the Royal Swedish Academy of Sciences, dutifully notes this rather inconvenient property in the ceremonial speech for the 1933 Nobel Prize, which was awarded to Heisenberg for nothing less than “the creation of quantum mechanics[1]:

“Matter is formed or represented by a great number of this kind of waves which have somewhat different velocities of propagation and such phase that they combine at the point in question. Such a system of waves forms a crest which propagates itself with quite a different velocity from that of its component waves, this velocity being the so-called group velocity. Such a wave crest represents a material point which is thus either formed by it or connected with it, and is called a wave packet. […] As a result of this theory, one is forced to the conclusion to conceive of matter as not being durable, or that it can have definite extension in space. The waves, which form the matter, travel, in fact, with different velocity and must, therefore, sooner or later separate. Matter changes form and extent in space. The picture which has been created, of matter being composed of unchangeable particles, must be modified.”

This should sound very familiar to you. However, it is, obviously, not true: real-life particles – electrons or atoms traveling in space – do not dissipate. Matter may change form and extent in space a little bit – such as, for example, when we are forcing them through one or two slits[2] – but not fundamentally so![3]

We repeat again, in very plain language this time: Dirac’s wave equation is essentially useless, except for the fact that it actually models the electron itself. That is why only one of its solutions make sense, and that is the very trivial solution which Schrödinger pointed out: the Zitterbewegung electron, which we believe corresponds to the real-life electron. 🙂 It just goes through space and time like any ordinary particle would do, but its trajectory is not given by Dirac’s wave equation. In contrast, Schrödinger’s wave equation (with or without a potential being present: in free or non-free space, in other words) does the trick and – against mainstream theory – I dare say, after analysis of its origins, that it is relativistically correct. Its only drawback is that it does not incorporate the most essential property of an elementary particle: its spin. That is why it models electron pairs rather than individual electrons.

We can easily generalize to protons or other elementary or non-elementary particles. For a deeper discussion of Dirac’s wave equation (which is what you probably expected), I must refer, once again, to Annex II of my paper on the interpretation of de Broglie’s matter-wave: it is all there, really, and – glancing at it all once again – the math is actually quite basic. In any case, paraphrasing Euclid in his reply to King Ptolemy’s question, I would say that there is no royal road to quantum mechanics. One must go through its formalism and, far more important, its history of thought. 🙂

To conclude, I would like to return to one of the remarks I made in the introduction. What about the properties of the vacuum? I will remain cautious and, hence, not answer that question. I prefer to let you think about this rather primitive classification of what is relative and not, and how the equations in physics mix both of it. 🙂

 


[1] To be precise, Heisenberg got a postponed prize from 1932. Erwin Schrödinger and Paul A.M. Dirac jointly got the 1933 prize. Prof. Pleijel acknowledges all three in more or less equal terms in the introduction of his speech: “This year’s Nobel Prizes for Physics are dedicated to the new atomic physics. The prizes, which the Academy of Sciences has at its disposal, have namely been awarded to those men, Heisenberg, Schrödinger, and Dirac, who have created and developed the basic ideas of modern atomic physics.”

[2] The wave-particle duality of the ring current model should easily explain single-electron diffraction and interference (the electromagnetic oscillation which keeps the charge swirling would necessarily interfere with itself when being forced through one or two slits), but we have not had the time to engage in detailed research here.

[3] We will slightly nuance this statement later but we will not fundamentally alter it. We think of matter-particles as an electric charge in motion. Hence, as it acts on a charge, the nature of the centripetal force that keeps the particle together must be electromagnetic. Matter-particles, therefore, combine wave-particle duality. Of course, it makes a difference when this electromagnetic oscillation, and the electric charge, move through a slit or in free space. We will come back to this later. The point to note is: matter-particles do not dissipate. Feynman actually notes that at the very beginning of his Lectures on quantum mechanics, when describing the double-slit experiment for electrons: “Electrons always arrive in identical lumps.”


[1] The relativistic invariance of the Planck-Einstein relation emerges from other problems, of course. However, we see the added value of the model here in providing a geometric interpretation: the Planck-Einstein relation effectively models the integrity of a particle here.

[2] See our paper on matter-waves, amplitudes, and signals.

New horizons

Looking back and forward

I want to revive this blog. I have not written anything substantially new since a very long time (OK, all is relative: since one year only), except short posts pointing to a new paper when I put one online on my ResearchGate site. However, I have started to think my blog is still worthwhile. I effectively keep getting a few likes here and there (if only from a handful of some of the followers (only 186 people in total, which is not a whole lot), and the sheer size and history of this blog suggests it can be revived rather easily: when I worked rather intensively on it (second half of 2022 and first half of 2021, basically), the stats did see a significant surge according to the site’s statistical dashboard (below).

Of course, a lot (if not most) of this traffic is semi-automatic because it is driven by hash tags out there on rather arcane topics such as Maxwell-Boltzmann and Bose-Einstein versus Fermi-Dirac statistics (I cannot imagine the top posts that WordPress automatically lists on this site are really top posts), but I will think positively of this and, yes, try to present both simpler as well as more relevant material in the coming years. In short: I feel like going at it again.

The problem with writing blog posts is that the process is rather tedious when it comes to quickly inserting some mathematical formula or argument to make a point (which is what, inevitably, one has to do when writing about physics), but I guess that is also why the readers of this blog turn to a blog rather than to my ResearchGate papers: they do not necessarily want to dig into all of the formulas. Hence, I need to separate out the two. Not to separate the two audiences, because I do believe the two audiences are similar: both are searching for some kind of truth or explanation (as opposed to a calculation), right? I just need to work harder on using the blog to highlight essential points, and then point to the papers for the math behind it.

Before I try my hand at that, let me say a few things about the papers. These papers are and remain working papers: I have academic credentials, but not in this field (quantum physics), which is why I will probably never really break through mainstream academic thought on all of the topics I write about. I gave up on trying to publish in journals or get a book published by a publisher. I tried several scientific publishers but, despite of all the hard work involved in making sure you get copyright on illustrations, and inserting more bibliographic detail, it did not work out. I stick to Einstein’s style: few references, because I believe the logic should speak for itself and, hence, one should only use what is strictly necessary and relevant in this regard, so as to improve readability (I feel that I use too many footnotes in my papers already, so more bibliographic detail would further downgrade the flow of my papers).

Nevertheless, papers like the one on my interpretation on the de Broglie frequencies as orbital rather than linear frequencies get high RI (research interest) scores on that RG site: the score of that particular paper, for example, is higher than 96% of all research items published in 2020). The RI scores of my rather critical papers on the formalism of quantum math and on the boundaries between Maxwell’s equations and the world of the smallest of small field oscillations (both of which I revised recently) are equally impressive in my, yes, not-so-humble (not anymore) view (the RI scores of these two papers are higher than 90% of all research items published in 2020). More relevant, of course, is the CV of the people who download them, most of which have that one PhD (in physics) which I am lacking (I got on ResearchGate because I could demonstrate I had published scientific papers in other fields in a far-gone past – mainly economics, as I once was an assistant professor working on a PhD in econometrics, which I did not finish, as a result of which I only have an old Doctor in Science (Drs) title, which is a rather particular title that is no longer valid).

In fact, I sometimes think I might get censured on RG for that one day, but I do not think so: my overall RI score in the field of quantum physics is now higher than 70% of researchers in the same field, despite me publishing these working papers on RG only since 2020. The quick rise and interest is evidenced by the fact that my overall RG score remains stubbornly higher than 99% of ResearchGate members who first published in 2020. Again, this does not prove much, perhaps, but it should convince both you as well as myself that I am not some kind of Cosmic Stan, although I did have my bad moments while pushing myself very hard on the very questions that drove geniuses like Ehrenfest into depression or, in his particular case, suicide.

Sure, I did have my bad moments too, as evidenced in this 2020 blog post at the occasion of Freeman Dyson’s demise. However, I will keep it there, if only because it mentions Oliver Consa, whose instinct (something is rotten in the state of modern physics) I share, but he was (and probably still is not) in a mood to collaborate on anything. If you read this blog, I recommend you read his article, which suggests the mysteries of quantum physics are there and are being perpetuated because of a weird mix of post-war secrecy around atomic physics and, much more probable now (the second world war is only a distant memory now), manipulation by a select group of academics aimed at keeping research money flowing.

Ten or twenty years ago, I would have dismissed such thinking out of hand, but I have myself been subject to rather weird attempts to take down this very blog of mine. I was surprised because I am quite vocal on social media, such as LinkedIn or Twitter, and I also have other blogs, on other topics that are often quite controversial (on current tensions between the US, Europe, Russia and China, or other questions of war and peace, for example), and I did not experience anything like that there. It may be Sayre’s Law: “Academic politics is much more vicious than real politics, because the stakes are so small.”

In any case, let us get back to the matter at hand: this blog and its future. What do I want to do with it? What can I usefully do with it? One experiment I want to try out is to distill the essence out of my papers as I have started a process of revising them one by one. Yes, unlike what I wrote about in the overall Post Scriptum to all of my 29 papers (that it was too much work to do that, basically), I think I should do that. I am getting older and, hence, I now think of that as a rather nice pastime.

So, I will stop rambling and make a first attempt at elucidating some aspects of my world vision, so to speak, for the intermediate-level hobbyist. To be clear on what I mean with that: I still consider myself to be an intermediate-level hobbyist as well but, looking at those RG stats, I think I might have it easier with some of the mathematical formalism than others, so that is why I am going to try to avoid it.

Let us go for it. In the next section(s) of this blog post, I am going to condense and distill the key conclusions in regard to the essential nature of mass, because that is still the question that intrigues most of us: what is it – not approximately, but exactly? If we know what matter is all about, then we know, pretty much, what reality is all about, right? Maybe. Maybe not. We miss a great deal about the mystery of fields and radiation but, yes, it is an important piece of the whole intellectual puzzle, so let us start here.

The nature of mass

We explained the nature of mass in our papers on elementary physics.[1] However, we did use rather advanced mathematical concepts (if you are not familiar with imaginary units or vector algebra, that is), so let us summarize the very basics here.

At the macro-level, mass appears as inertia to a change in the state of linear motion of an object or particle. That is how it appears in Newton’s first law of motion which – in its relativistically correct form – is written as F = dp/dt = d(m·v)/dt.[2] Now, the idea of a particle is a philosophical or ontological concept and we will, therefore, avoid it – to some extent, at least – and prefer to speak of things we can measure, such as charge and, yes, mass. We will also speak of physical laws because these are based on measurements too.

Now I do have to insert one formula. It is simple (just a formula that says a rather particular ratio is equal to some number). Try to think through it. From the Planck-Einstein and mass-energy equivalence relations (E = h·f and E = m·c2, so h·f = m·c2), we get the following fundamental equation for a frequency per unit mass (f/m or, expressing frequency in radians per second rather than cycles per second, ω/m):

f/m = c2/h = 1.35639248965213×1050

This humongous value[3] is an exact value since the 2019 redefinition of SI units, which fixed the value of ħ, and just like c and ħ, you may think of it as some God-given number but you should not do that: just like the fine-structure constant[4], this is just a number which we derived from a more limited number of fundamental constants of Nature. [Of course, you will note that the number depends on the units, and that both the second and the kg are very large units when talking about small things, but you can recalculate the number using other units, just like you can do that for other constants.]

The point is this: this simple formula, and that enormous number, reflect the true nature of mass at the micro-level. You must appreciate that is quite different from mass being, at the macro-level, a measure of inertia. At the most fundamental level, matter is nothing but charge in motion. Such interpretation may not be mainstream (although it should be, judging from how physicists actually treat matter) but it is consistent with Wheeler’s ‘mass without mass’ ideas and – more importantly, probably – with the 2019 revision of the system of SI units, in which mass also appears as a derived unit from more fundamental constants now, most notably Planck’s constant.

This f/m ratio is, of course, valid for all matter or – let us be precise – for all (stable) elementary particles.[5] However, it is important to note that, while the f/m ratio is the same for both the electron as well as the proton mass, the q/me and q/mp ratios are, obviously, very different. We, therefore, do associate two very different charge oscillations with them: we think of the electron and proton as a two- and three-dimensional ring current, respectively. Hence, while these specific oscillator equations are, theoretically and mathematically, compatible with any mass number, we do not think of the electron and proton energies as variables but as constants of Nature themselves.

In short, we must think of the electron and the proton mass as fundamental constants too because, as far as we know, these are the only two stable constituents of matter, and they also incorporate the negative and positive elementary charge, respectively.[6] The f/m = c2/h formula above holds for both and, combined with Newton’s force law (m = F/a: mass as inertia to change of (a state of) motion), we conclude that the mass idea is one single concept but that we should, at the very minimum, distinguish between electron and proton mass. Of course, Einstein’s mass-energy relation tells us it might be better to just talk about two fundamental energy levels (Ee and Ep), and to re-write the f/m = c2/h expression above as the Planck-Einstein relation applied to two (different) oscillations. We insert the mathematical representation of that idea below too, but do not worry too much about it:

As mentioned above, in the realist interpretation we have been pursuing, we effective think of the two oscillations as a planar and a spherical oscillation, respectively, which is reflected in the wavefunction which we use to represent the electron and proton, respectively. Indeed, the effective radius of a free electron follows directly from the orbital velocity formula v = c = ω´r = ω´a and the Planck-Einstein relation[7]:

The point here is not to burden you with formulas (we said we would not, but we cannot help it here), but to show you how easy it is to get the measurable properties of the electron from the basic equations. Now that we are doing that, we will also quickly introduce the wavefunction of both the electron and the proton, although you can skip through the next paragraphs if you would not like that (we are just doing it for the more academic or advanced reader, to show that we are not afraid of the math and formalism). We write the wavefunction of an electron as:

This notation introduces the imaginary unit, which serves as a rotation operator and, therefore, denotes the plane of oscillation. The sign of the imaginary unit (±) indicates the direction of spin and, interpreting 1 and 1 as complex numbers (cf. the boldface notation), we do not treat ± p as a common phase factor.[8]

As mentioned several times already, we think of the proton oscillation as an orbital oscillation in three rather than just two dimensions. We, therefore, have two (perpendicular) orbital oscillations, with the frequency of each of the oscillators given by ω = E/2ħ = mc2/2ħ (energy equipartition theorem), and with each of the two perpendicular oscillations packing one half-unit of ħ only.[9] Such  spherical view of a proton fits with packing models for nucleons and yields the experimentally measured radius of a proton:

The 4 factor here is the one distinguishing the formula for the surface of a sphere (A = 4πr2) from the surface of a disc (A = πr2).[10] So do we consider the (in)famous proton radius puzzle solved? Yes. We do. Let us – for the more advanced reader again – write the proton wavefunction. We think of it as a combination of two elementary wavefunctions:

While the electron and proton oscillation are very different, the calculations of their magnetic moment based on a ring current model (with a square root correction to take the spherical nature of the proton into account) strongly suggest the nature of both oscillations and, therefore, the nature of all mass, is electromagnetic. However, we may refer to the electron and proton mass as electromagnetic and nuclear mass respectively because protons (and neutrons) make up most of the mass of atomic nuclei[11], while electrons explain the electromagnetic interaction(s) between atoms and, therefore, explain molecular shapes and other physical phenomena.

Finally, the two oscillations may be associated with the two lightlike particles we find in Nature: photons and neutrinos. These lightlike particles carry energy (but no charge) but are traditionally associated with electromagnetic and nuclear reactions respectively (emission and/or absorption of photons/neutrinos, respectively), which also explains why referring to the three-dimensional proton oscillation as a nuclear oscillation makes sense.[12]

Is that it, then? You may have a few immediate reactions and one of them would be this: we reduce mass to charge in motion here. So what is charge, then? And can we reduce charge to something else. It would take me quite a bit of text to reply to that, so I will only be short here.

First, getting rid of one concept in physics is already a great simplification, and we cannot get rid of the concept of charge by reducing it to mass. In contrast, we do have this nice ‘mass without mass’ model here, and so that is great. Second, never forget that mass (and energy) are relative: you will measure them differently in different reference frames. In contrast, charge is absolute: the proton and electron charge are a unit of charge that does not change depending on your frame of reference. It is just like the speed of light, or Planck’s constant: these constants are c and h, respectively. They are absolute. So that is why we can get rid of the mass concept, so to speak. We cannot get rid of (electric) charge.

So, this is it. See you next time (for my next post, that is)?


[1] See our papers in our K-12 level physics series.

[2] The formula is relativistically correct because both m and v are not constant: they are functions varying in time as well and that is why we cannot easily take them out of the d()/dt brackets.

[3] A number with 50 zeros would be referred to as one hundred quindecillion (using the Anglo-Saxon short scale) or one hundred octillions (using the non-English long scale of naming such astronomic numbers).

[4] The fine-structure constant pops up in electromagnetic theory, and is co-defined with the electric and magnetic constants. Their CODATA values are related as follows:

[5] Note that the electron and proton (and their anti-matter counterparts) are stable, but the neutron (as a free particle, i.e., outside of a nucleus) is not, even if its average lifetime (almost 15 minutes) is very large as compared to other non-stable particles.

[6] As mentioned above, the neutron is only stable inside of the nucleus, and we think of it as a combination of a positive and negative charge. It is, therefore, reducible and, as such, not truly elementary. However, such view is, obviously, part of another speculative model of ours and, hence, should not be a concern to the reader here.

[7] We write this as a vector cross-product, and assume an idealized circular orbital when writing the position vector r as a wavefunction r = ψ = a·e±iθ = a·[cos(±θ) + i · sin(±θ)]. The magnitude ½r½is, obviously, equal to ½a·e±iθ ½ = a. This is a variant of Wheeler’s mass-without-mass model because the model assumes a pointlike (but not necessarily infinitesimally small or zero-dimensional) charge, whose rest mass is zero and, therefore, moves at lightspeed and acquires relativistic mass only. As such, it is photon-like, but photons (light-particles) carry no charge. The a = r notation may be somewhat confusing because a is also used to denote acceleration¾an entirely different concept, of course!

[8] See our paper on Euler’s wavefunction and the double life of -1, October 2018. This paper is one of our very early papers – a time during which we developed early intuitions – and we were not publishing on RG then. We basically take Feynman’s argument on base transformations apart. The logic is valid, but we should probably review and rewrite the paper in light of the more precise intuitions and arguments we developed since then, even if – as mentioned – I have no doubt as to the validity of the argument.

[9] Such half-units of ħ for linearly polarized waves also explains the results of Mach-Zehnder one-photon interference experiments. There is no mystery here.

[10] We also have the same 1/4p factor in the formula for the electric constant, and for exactly the same reason (Gauss’ law).

[11] Binding energy – also electromagnetic in nature – makes up for the rest.

[12] See our paper on the nuclear force hypothesis, April 2021.

Post Scriptum (2)

When I wrote my first PS in November last year, I thought it would be my last blog post here – but the stats keep going up. Good enough here on WordPress, and even better on ResearchGate: a 170+ score now and still rising fast: top 1% climber still – despite that I have published nothing since a year now – which got me into the top 25% bracket of RG researchers in less than two years – and, while it is far from going viral, further rise looks a bit inevitable now.

It clearly shows that I am not mad and that you are reading serious physics here – but without the usual hocus-pocus and ‘mystery’ that leaves so many young and-not-so-young people disgusted. I repeat: there is no serious puzzle in physics any more. All that is being done now, is to further work out the consequences of the fundamental laws of physics that were written down about a hundred years ago (de Broglie wrote his thesis in 1924, so this centenary is almost there). For those who are seeking to simplify further by resorting to some kind of ‘meta-symbolism’ or an even more ‘holistic’ perspective (whatever that might mean), I think the exchange below (from my ResearchGate account) might be useful. For the rest, I have nothing to add anymore. It is all there ! 🙂

M (7 days ago): Dear JL – I was amazed to find your piece on the jitter-bugging phenomena [sic] (not hypothesis). I think you may find my more holistic perspective useful in fine-tuning your work. I hope you agree, and I would love to collaborate. After all, as far as I know, your work is the first substantive effort in nearly 60 years+ (in this very fertile direction). Cheers, etc. ~ M

Astronomy_geometry_logic-v.1.pdf

M (7 days ago): Dear JL – Bravo!!! I just saw the abstract of your paper on conserving the enthusiasm of young people afflicted by modern SM-QM nonsense, dogma, etc. I am now even more motivated to have your help reviewing, editing, and developing my next-gen ontology of the cosmos. Cheers ~ M

My rapid-fire answers (yesterday and today):

Txs man ! This developed partly because (1) I had too much time on my hands (a difficult past five years as I came back from abroad and my mom and bro died from cancer – I had to go through cancer surgery myself) and (2) helping my son getting through his exams on quantum physics as part of his engineering studies (he is just as much as a rebel as me and (also) wanted more ‘common-sense’ explanations. The ‘orbital’ or ‘circular’ motion concept for interpreting de Broglie’s wavefunction (orbital frequencies instead of linear ones) is the key to everything. 🙂 No magic. 🙂 Charge and motion are the only concepts that are real. 🙂 There is no copyright to what I produced (a lot is just about building further on strands the ‘Old Great’ (including Schroedinger himself) had in mind) so feel free to use it and further develop. My blog post on Paul Ehrenfest’ s suicide is probably still the most ‘accessible’ introduction to it all. It is also tragic – as tragic (or more, probably) as Dirac’s depression when he sort of ‘turned his back’ on the young wolves he used to support – but still… https://readingfeynman.org/2020/05/27/ehrenfest-and-other-tragedies-in-physics/

[…]

I also did some YouTube videos to ‘market’ it all – but there is only so much one can do. It is a weird situation. APS, WSP and even Springer Verlag wanted to do something with me but they all backed off in the end. Fortunately I do not suffer from much ego (one advantage of my experience in war-torn countries such as Afghanistan and in Ukraine (March)) – so I take everything lightly. My “Post Scriptum” to my papers – https://www.researchgate.net/publication/356556508_Post_Scriptum – is a read of 15 minutes only and guides all of the material. Have fun with it ! Life is short. I know – having come clean out of cancer (unlike my mom and my bro), so every day is a perfect day now. As for day job: https://www.linkedin.com/in/jean-louis-van-belle-85b74b7a/

[…]

As for the formalism that you are introducing, I would recommend close(r) study of:
(1) https://en.wikipedia.org/wiki/Geometrodynamics : my physics is a ‘mass without mass’ approach – but I do not believe charge can be further reduced (we need the concept to distinguish between matter and anti-matter, for example – geometry does not suffice to explain all degrees of freedom there);
(2) The failure of Wittgenstein’s formalism – as he admitted himself in what is commonly referred to as the ‘Wittgenstein II’ (nothing more than some of his comments in letters on his little booklet). I studied Wittgenstein as part of my philosophy studies and I am not too impressed. I feel we need a bit of ‘common’ language to add nuance and meaning to the mathematical symbols. Without the ambiguity in them, they do not mean all that much to me. Also see: https://en.wikipedia.org/wiki/Ordinary_language_philosophy

[…]

To add – I also believe step (3) of the geometrodynamics is not possible. We can do without the mass concept (and still it is useful to use in the higher-level physics), but not without charge or fields. Charge and field are not further reducible. The last slide of my ‘philosophy and physics’ presentation on YouTube shows the fundamental ‘categories’ I believe in (categories in an Aristotelian sense). These concepts can be both ‘relative’ or ‘absolute’ (not-relative, in the sense of (special/general) relativity theory). https://www.youtube.com/watch?v=sJxAh_uCNjs&t=16s

One more thing, despite my criticism on ‘Wittgenstein-like’ formalism, his first statement in his Tractatus should obviously be the point of departure of any ‘metaphysics’ or epistemology: 1.1 Die Welt ist die Gesamtheit der Tatsachen, nicht der Dinge. Perhaps it is the only thing we can seriously say about ‘the world’ or ‘reality’. It serves as a ‘good enough’ definition to me, in any case. 🙂

Post Scriptum

I made a start with annotating all of my papers. I will arrange them in a paper of itself: working paper no. 30 on ResearchGate. I will date it on 6 December when finished, in honor of one my brothers who died on that day (6 December), from a cancer that visited me too. Jean-Claude was his name. He was a great guy. I miss him, and sometimes feel guilty of having survived. Hereunder follows the first draft – a sort of preview for those who like this blog and have encouraged me to go on.

Post scriptum: The final paper is here and so you can click and download, rather than go through the draft underneath.

Introduction

The 29 papers which I published on ResearchGate end a long period of personal research, which started in earnest when I sent my very first paper, as a young student in applied economics and philosophy, to the 1995 ‘Einstein meets Magritte’ Conference in Brussels. I do no longer have that paper, but I remember it vehemently defended the point of view that the ‘uncertainty’ as modeled in the Uncertainty Principle must be some kind of statistical determinism: what else can it be? Paraphrasing the words of H.A. Lorentz, at the occasion of the 1927 Solvay Conference, a few months before his death, there is, effectively, no need to elevate indeterminism to a philosophical principle: scientists must keep determinism has to be kept as ‘an object of faith.’ That is what science is all about. All that is needed is to replace our notion of predictability by the notion of statistical determinism: we can no longer predict what is going to happen, because we can or do not know the initial conditions, or because our measurement disturbs the phenomenon we are analyzing, but that is it. There is nothing more to it. That is what Heisenberg’s now rather infamous Uncertainty Principle is all about it: it is just what he originally thought about it himself.

I found the metaphor of a fast-rotating airplane propeller a very apt one[1], and several people who wrote me also said it made them see what it was all about. One cannot say where the blades are, exactly, and if you would shoot bullets through it, those bullets will either hit a blade and be deflected or will, quite simply, just go straight through. There is no third possibility. We can only describe the moving propeller in terms of some density in space. This is why the probabilities in quantum physics are proportional to mass densities or, what amounts to the same because of Einstein’s mass-energy equivalence relation, energy densities.

The propeller metaphor is useful in other contexts too. It explains quantum-mechanical tunneling, for example: if one thinks of matter-particles as pointlike charges in motion – which is what we do[2] – then the fields that surround them will be dynamic and, therefore, be like a propeller too: at one particular point in space and in time, the field will have a magnitude and a direction that will not allow another particle (think of it as a bullet) to get through – as the field acts as a force on the charge – but ‘holes appear in the wall’, so to speak, and they do so in a regular fashion, and then the incoming particle’s kinetic energy – while lower than the average potential energy of the barrier – will carry it through. There is, therefore, nothing weird or mysterious about tunneling.

Many more examples may be mentioned, but then I would be rewriting my papers, and that is not the purpose of this one, which is to conclude my research by revisiting and commenting on the rather vast mass of paper I produced previously: 29 papers in just one year (April 2020 – April 2021). These papers did not bring me fame, but did generate enough of a readership to produce a decent RG score – as evidenced below (sorry if this looks egotistical: it is not meant that way[3]).

I have effectively been ridiculed by family, friends and – sadly – by quite a few fellow searchers for truth. But I have also been encouraged, and I prefer to remember the encouragements. One of my blog posts writes about the suicide of Paul Ehrenfest and other personal tragedies in the history of physics. It notes a remark from a former diplomat-friend of mine, who remarked this: “It is good you are studying physics only as a pastime. Professional physicists are often troubled people—miserable.”

I found it an interesting observation from a highly intelligent outsider who, as a diplomat, meets many people with very different backgrounds. I do understand this strange need to probe things at the deepest level—to be able to explain what might or might not be the case (I am using Wittgenstein’s definition of reality here). I also note all of the founding fathers of quantum mechanics ended up becoming pretty skeptical about the theory they had created. Even John Stewart Bell – one of the more famous figures in what may be referred to as the third generation of quantum physicists – did not like his own ‘No Go Theorem’ and thought that some “radical conceptual renewal”[4] might disprove his conclusions.

It sounds arrogant, but I think my papers are representative of such renewal. It is, as great thinkers in the past would have said, an idea whose time has come. Einstein’s ‘unfinished revolution’ – as Lee Smolin calls it – was finished quite a while ago, but mainstream researchers just refuse to accept that.[5] And those researchers who think quantum physicists are ‘lost in math’ are right but, unfortunately, usually make no effort by speaking up and showing the rather obvious way out. Sabine Hossenfelder uses as much guru-like talk as a Sean Carroll.[6]

So what is this paper about?

In May this year, after finishing what I thought of as my last paper on quantum physics, I went to hospital for surgery. Last year, one of my brothers died from prostate cancer at a rather young age: 56, my age bracket. He had been diagnosed but opted for a more experimental treatment instead of the usual surgery that is done, because the consequences of the surgery are effectively very unpleasant and take a lot of joy out of life. I spent a week in a hospital bed, and then a month in my bed at home. I stopped writing. I gave up other things too: I stopped doing sports, and picked up smoking instead. It is a bad habit: Einstein was a smoker and – like me – did not drink, but smoking is bad for health. I feel it. I will quit smoking too, one day – but not now.

The point is: after a long break (more than six months), I did start to engage again in a few conversations, and I also looked at my 29 papers on my ResearchGate page again, and I realized some of them should really be re-written or re-packaged so as to ensure a good flow. I also note now that some of the approaches were more productive than others (some did not lead anywhere at all, actually), and so I felt like I should point those out. There are some errors in logic here and there too (small ones, I think, but errors nevertheless), and then quite some typos.[7] Hence, I thought I should, perhaps, produce an annotated version of these papers, with comments and corrections as mark-ups. Re-writing or re-structuring all of them would require too much work, so I do not want to go there.

So that is what this paper is about: I printed all of the papers, and I will quickly jot down some remarks so as to guide the reader through the package, and alert them to things I thought of good stuff at the time (otherwise I would not have written about it), but that I do think of as not-so-great now.

Before I do so, I should probably make a few general remarks. Let me separate those out in yet another introductory section of this paper.

General remarks

1. The first remark is that I do repeat a few things quite a lot – across and within these papers. Too much, perhaps. However, there is one thing I just cannot repeat enough: one should not think of the matter-wave as something linear. It is an orbital oscillation. This is really where the Old Great Men went wrong. The paper that has been downloaded the most is, effectively, the one on what I refer to as de Broglie’s mistake: the intuition of the young Louis de Broglie that an electron has a frequency was a stroke of genius (and, fortunately, Einstein immediately saw this, so he could bring this young scientist under the attention of everyone else), but this frequency is an orbital frequency. That, I repeat a lot – because only a few people seem to get that (with ‘a few’, I mean the few thousand people who download that paper).

Having said that, I did not do a good job at pointing out the issues with Dirac’s wave equation: I sort of dismiss it out of hand referring to Oppenheimer and Dirac’s discussion at the occasion of the first post-WW II Solvay Conference in my brief history paper on quantum-mechanical ideas, during which they both agree it does not work but fail to provide a consistent alternative. However, I never elaborated on why the equation does not work, so let me do this now.

The reason that it does not work is, basically, the same as the reason why de Broglie’s wave-packet idea does not work: Dirac’s equation is based on the relativistic energy-momentum relation. Just look at Dirac’s 1933 Nobel Prize lecture, in which he gives us the basic equation he used to derive his (in)famous wave equation:

W2/c2 – pr2 – m2/c2 = 0

Dirac does not bother to tell us but this is, basically, just the relativistic energy-momentum relationship: m02c4 = E2 – p2c2 (see, for example, Feynman-I-16, formula 16.13). Indeed: just divide this formula by c2 and re-arrange and you get Dirac’s equation. That is why Dirac’s wave equation is essentially useless: it incorporates linear momentum only. As such, it repeats de Broglie’s mistake, and that is to interpret the ‘de Broglie’ wavelength as something linear. It is not: frequencies, wavelengths are orbital frequencies and orbital circumferences. So anything you would want to do with energy equations that are based on that, leads nowhere[8]: one has to incorporate the reality of spin from the start. Spin-zero particles do not exist and any modeling that starts off from modeling spin-zero particles, therefore, fails: you cannot put spin back in through the back door once you are done with the basic model, so to speak. It just does not work. It is what gives us, for example, those nonsensical 720-degree symmetries, which prevent us from understanding what is actually happening.

2. The second remark that I should make is that I did not pay enough attention to the analysis of light-particles: photons and neutrinos and, possibly, their antiforce or antimatter counterparts. Huh? Their anti-force counterparts? Yes. Remember: energy is measured as a force over a distance, and a force acts on a charge. And then Einstein’s energy-mass energy equivalence relation tells us we should think of mass in terms of energy. Hence, if we know the force, we have got everything. Electrons and protons have a very different charge/mass ratio (q/m) and, therefore, involve two very different forces, even if we think of these two very different forces – which we could refer to as ‘weak’ and ‘strong’ respectively, but that would generate too much confusion because these terms have already been used – as acting on the same charge.

I refer to my paper(s) on this: the hypothesis is, basically, that we have two different forces, indeed! One that keeps, say, the electron together, which is nothing but the electromagnetic force, and one that is much stronger and seems to have a somewhat different structure. That is the force that keeps a muon-electron or a proton together. The structure of this much stronger force is the same because it also acts on a charge, and we also have two field vectors: think of the magnetic field vector lagging the electric field by 90 degrees. However, it is also not the same because the form factor differs: orbital oscillations can be either planar or spherical (2D or 3D).

I will not go into the detail here – again, I would be rewriting the papers, which is not what I want to do here – but the point is that antimatter is defined by an antiforce, which sees the magnetic field vector preceding the electric field vector by the same phase difference (90 degrees). It is just an application of Occam’s Razor Principle: the very same principle which made Dirac predict the existence of the positron: if the math shows there is some possibility of something else existing – a positively charged ‘electron’, at the time – then that possibility must be real, and we must find ‘that thing’. The history of science has shown scientists always did.

That is all clear enough (or not), but so the point here is this: the lightlike particles (photons and neutrinos) that carry the electromagnetic and nuclear force respectively (I refer to that strong(er) force as ‘nuclear’ for rather obvious reasons[9]) must have anti-counterparts: antiphotons and antineutrinos. And so I regret that I did not do too much analysis on that. I am pretty sure, for example, that antiphotons must play a role in the creation of electron-positron pairs in experiments such as SLAC’s E144 experiment (pair production out of light-on-light (photonic) interaction).

In short, I regret I did not have enough time and/or inspiration to analyze such things much more in detail than I did in my paper on matter-antimatter pair production/annihilation, especially because that is a paper that gets a lot of downloads too, so I feel I should rework it to present more material and better analysis. It is unfortunate that energy and time is limited in a man’s life. The question is, effectively, very interesting because the ‘world view’ that emerges from my papers is a rather dualistic one: we have the concept of charge on the one hand, and the concept of a field on the other. Matter-antimatter pair creation/annihilation from/into photons suggest that charge may, after all, be reducible to something that is even more fundamental. That is why I bought a rather difficult book on chiral field theory (Lähde and Meißner, Nuclear Lattice Effective Field Theory, 2019), but an analysis of that will probably be a retirement project or something.

3. The remark above directly relates to something else I think I did not do so well, and that is to explain Mach-Zehnder interference by a model in which we think of circularly polarized photons (or elliptically polarized, I should say, to be somewhat more general) as consisting of two linear components, which we may actually split from each other by a beam splitter. That takes the mystery out of Mach-Zehnder interference, but I acknowledge my analysis in a paper like my ‘K-12 level paper’ on quantum behavior (which gives a one-page overview of the logic) may be too short to convince skeptical readers. The Annex to my rather philosophical paper on the difference between a theory, a calculation and an explanation is better, but even there I should have gone much further than I did.[10]

4. I wrote quite a few papers that aim to develop a credible neutron and/or deuteron model. I think of the neutron in very much the same way as Ernest Rutherford, the intellectual giant who first hypothesized the existence of the neutron based on cosmological research, thought about neutrons: a positively charged proton or other nuclear particle attached to some kind of deep electron.[11] It is worth quoting his instinct on this, as expressed at the occasion of the 1921 Solvay Conference, in response to a question during the discussions on Rutherford’s paper on the possibility of nuclear synthesis in stars or nebulae from the French physicist Jean Baptiste Perrin who, independently from the American chemist William Draper Harkins, had proposed the possibility of hydrogen fusion just the year before (1919):

“We can, in fact, think of enormous energies being released from hydrogen nuclei merging to form helium—much larger energies than what can come from the Kelvin-Helmholtz mechanism.[12] I have been thinking that the hydrogen in the nebulae might come from particles which we may refer to as ‘neutrons’: these would consist of a positive nucleus with an electron at an exceedingly small distance (“un noyau positif avec un électron à toute petite distance[13]). These would mediate the assembly of the nuclei of more massive elements. It is, otherwise, difficult to understand how the positively charged particles could come together against the repulsive force that pushes them apart—unless we would envisage they are driven by enormous velocities.”

We may add that, just to make sure he gets this right, Rutherford is immediately requested to elaborate his point by the Danish physicist Martin Knudsen, who asks him this: “What’s the difference between a hydrogen atom and this neutron?” Rutherford simply answers as follows: “In a neutron, the electron would be very much closer to the nucleus.” 

In light of the fact that it was only in 1932 that James Chadwick would experimentally prove the existence of neutrons (and positively charged protons), we should be deeply impressed by the foresightof Rutherford and the other pioneers here: the predictive powerof their theories and ideas is truly amazing by any standard—including today’s. It may have something to do with the fact that the distinction between theoretical and experimental physicists was not so clear then.[14] The point is this: we fully subscribe to Rutherford’s intuition that a neutron should, somehow, be a composite particle consisting of a proton and an electron, but we did not succeed in modeling that convincingly. We explored two ways to go about it:

  1. One is to think of a free neutron which, we should remind ourselves, is a semi-stable particle only (its lifetime is a bit less than 15 minutes, which is an eternity in comparison to other non-stable particles). The challenge is then to build a credible n0 = p+ + e model.
  2. The other option is to try to build a neutron model based on its stability inside of the deuteron nucleus. Such model should probably be based on Schrödinger’s D+ = p+ + e + p+ Platzwechsel model, which thinks of the electron as a sort of glue holding the two positive charges together.

The first model is based on the assumption that we have two forces, very much like the centripetal and centrifugal force inside of a double-star. The difference – with a double-star model, that is – is that the charges have no rest mass.[15] The nature of those two forces is, therefore, very different than (1) the centripetal gravitational force that keeps the two stars together and (2) the centrifugal force that results from their kinetic energy and/or orbital momentum. We assumed the attractive force between the p+ and e is the usual electromagnetic force between two opposite charges (so that keeps them together). However, because the two charges clearly do not just go and sit on top of each other, we also assumed a ‘nuclear’ force acts at very close distances, and we tried to model this by introducing a Yukawa-like nuclear potential.

We will discuss this more in detail when commenting on our papers in the next section, but the truth is that we feel we have not been able to develop a fully consistent model: it is not like our electron or proton model, which yields fully consistent calculations of the experimentally measured mass, radius, magnetic moment and other so-called intrinsic properties (e.g. the anomaly in the magnetic moment of the electron) of these two elementary particles. We could not do for the neutron. However, we hope some smart PhD student will try his or her hand at improving on our models and succeed where we did not.

As for the second model (the deuteron nucleus model), we did not work all that because that is, basically, an even more complicated problem than the math of a classical three-body problem which, as you know, has no analytical solution. So we inevitably have to lump two bodies together – the two protons might make for a nice massive pair, for example – but then you lose the idea of the neutron. In other words, it may give you a deuteron model, but nothing much in terms of a neutron model.  

5. Those were the main frustrations, I think. We will probably point out others too in the more detailed paper-by-paper comments in the next section, but I would like to make one or two more remarks regarding style and conversation culture in physics now.

The main remark is this: I did some research in economics (various sub-disciplines ranging from micro-economics to the history of thought in economics) and I found the conversational style of fellow researchers in those fields much more congenial and friendly than in physics. It may have something to do with the fact such study was done while I was young (so that was almost 30 years ago and people were, quite simply, friendlier then, perhaps), but I also think there might be a different reason. I was (and still am) interested in quantum physics because I wanted to know: this search for truth in modeling (or whatever you want to call it) is rooted in a deep need or desire to understand reality. Personally, I think the Uncertainty Principle got elevated to some kind of metaphysical principle because some of the scientists wanted to reserve a space for God there. I am not religious at all, and if God exists, I am sure he would not to be hiding there but inside of our mind.

In any case, my point here is this: I think there is an emotional or religious aspect to discussions on fundamentals that is absent in the social sciences which, in most cases, turns these discussions quickly personal or even aggressive. As an example, I would refer to all these ‘relativity doubters’ that pop up in the more popular or general ResearchGate discussion threads on the ‘consistency’ of quantum physics, or the pros and cons of modern cosmological theories. I vented my frustration on that on my blog a few times (here is an example of my issues with SRT/GRT doubters), and so then I just stop arguing or contributing to these threads, but I do find it sad because a lot of people like me probably just do the same: they stop engaging, and that probably makes the ignorance even worse and then there is no progress at all, of course!

However, having said this, I also note unfriendliness is inversely proportional to expertise, knowledge and experience. In other words: never be put off by anyone. I did go through the trouble of contacting the PRad Research Lab and people like Dr. Randolf Pohl (Max Planck Institute), and I got curt but useful answers from them: answers that challenged me, but those challenges have helped me to  think through my models and have contributed to solidifying my initial intuitions, which I would sum as follows: there is a logical interpretation of everything. I refer to it as a realist interpretation of quantum physics and, as far as I am concerned, it is pretty much the end of physics as a science. We do know it all now. There is no God throwing dices or tossing coins. Statistical determinism, yes, but it is all rooted in formulas and closed mathematical models representing real stuff in three-dimensional space and one-dimensional time.

Let me now (self-)criticize my own papers one by one. 😊

Note: I briefly tried to hyperlink the titles (of the papers) to the papers themselves, but the blog editor (WordPress) returned an error. I guess this blog post is quite long and has to many links already. In any case, the titles do refer to the papers on my RG site, and the reader can consult them there.

Paper-by-paper remarks

The concepts of charge, elementary ring currents, potential, potential energy, and field oscillations

No comments. We think this paper gives a rather nice overview of what made sense to us. We also like the two annexes because they talk about quantum-mechanical operators and show why and how the argument of the wavefunction incorporates (special) relativity (SRT/GRT naysayers should definitely read this).

There is a remnant of one of the things we tried and did not yield much: a series expansion of kinetic and/or potential energy from Einstein’s energy-mass equivalence relation. That result from a discussion with researchers trying to model other deep electron orbitals (other than the ‘deep’ electron in a neutron or a deuteron nucleus): they were thinking of potentials in terms of first-, second-, third-, etc.-order terms, so as to simplify things. I went along with it for a while because I thought it might yield something. But so it did not. Hence, I would leave that out now, because the reader probably wonders what it is that I am trying to do, and rightly so!

Lectures on Physics Chapter VI : All of Quantum Math

This is one in a series of what I jokingly thought of as a better or more concise version of Feynman’s Lectures on Physics. I wrote six of these. Feynman once selected ten ‘easy pieces’ and ten ‘not-so-easy’ pieces from his own lectures, if I am not mistaken¾but so these should qualify as relatively ‘easy’ pieces (in comparison with other papers, that is).

It downplays the concept of the gyromagnetic ratio in quantum mechanics somewhat by focusing on the very different charge/mass ratio for the electron and a proton (q/m) only. For the rest, there is nothing much to say about it: if you are a student in physics, this is the math you surely need to master!

All of physics

This paper is one of those attempts to be as short as I can be. I guess I wanted it to be some kind of memorandum or something. It still developed into five pages, and it does not add anything to all of the longer papers. Because it is short and has no real purpose besides providing some summary of everything, I know think its value is rather limited. I should probably take it down.

Do we need the nuclear force hypothesis?

This is one of the papers on a neutron or deuteron model. I think the approach is not bad. The use of orbital energy equations to try to model the orbital trajectories of (zero rest-mass) charges instead of the usual massive objects in gravitational models is promising. However, it is difficult to define what the equivalent of the center of mass would be in such models. One might think it should be the center of ‘energy’, but the energy concepts are dynamic (potential and kinetic energy vary all the time). Hence, it is difficult to precisely define the reference point for the velocity vector(s) and all that. We refer to our general remarks for what we think these papers might have yielded, and what not. For the rest, we let the reader go through them and, hopefully, try to do better.

The nuclear force and quaternion math

We like this paper very much because it shows why quaternion math should be used far more often than it is actually done in physics: it captures the geometry of proton and neutron models so nicely. We probably will want to delve into this more as yet another retirement project. We also like this paper because it is short and crispy.

The language of math

Probably not our best paper, and one that should or could be merged with others covering the same topics. However, the philosophical reflections in this paper – on the arrow of time and what is absolute and relative in physics – are nice and can be readily understood. They would probably come first if ever we would want to write a textbook or something. We also recommend the primordial dimensional analysis of basic equations in physics: modern-day papers usually do not bother to check or comment on these.

Nuclear potential and energy conservation

This is one of these papers which shows the shortcomings of our approach to modeling anything ‘nuclear’. The idea of two or three charges holding and pushing each other apart simultaneous – with two opposite forces acting, just like the centripetal and centrifugal force in any gravitational model – is nice, and we think the substitution of mass by some combination of charge and mass in the orbital energy equation is brilliant (sorry if this sounds egotistical again) but, as mentioned above, it is difficult to define what the equivalent of the center of mass would be in such models.

Also, because of the distance functions involved (the ‘nuclear’ force in such a model varies with the square of the distance and is, therefore, non-linear), one does not get any definite solution to the system: we derived a lower limit for a ‘range’ factor for the nuclear force, for example (and its magnitude corresponds more or less to what mainstream physicists – rather randomly – use when using Yukawa-like potentials[17]).

It would be an interesting area for modeling if and when I would have more time and energy for these things, so I do hope others pick up on it and, hopefully, do better.

The language of physics

Same remarks as above: I like this paper because it is short. I also allow myself to blast away at quark-gluon theories (‘smoking gun physics’, as I call it[18]). There are also the explanations of useful derivatives of the wavefunction, which show why and how our geometric interpretation of the wavefunction makes sense.

We also quickly demonstrate the limitations of the scattering matrix approach to modeling unstable particle and particle system processes, despite the fact we do love it: the problem is just that you lose track of directions and that we, therefore, cannot explain even very simple stuff such as scattering angles in Compton scattering processes using that S-matrix approach. Here too, we hope some clever people might ‘augment’ the approach.

The Zitterbewegung hypothesis and the scattering matrix

We like this paper. It deserves a lot more downloads than it gets, we think. It is the proper alternative to all kinds of new ‘conservation laws’ – and the associated new ‘strange’ properties of particles – that were invented to make sense of the growing ‘particle zoo’. The catalogue of the Particle Data Group should be rewritten, we feel. 😊

The Finite Universe

Of course, any physicist should be interested in cosmology – if only because any Big Bang theory uses pair creation/annihilation theories rather extensively. As mentioned in our general remarks, we still struggle with these theories and, yes, definitely on our list as a retirement project.

The main value of the paper is that it offers a consistent explanation of ‘dark matter’ in terms of antimatter, and also that it does not present the apparently accelerating pace of the expansion of the Universe as something that is necessarily incongruent: there may be other Universes around, beyond what we can observe. The paper also offers some other ‘common-sense’ explanations: none of them involves serious doubts on standard theory (we do not doubt anything like SRT and/or GRT). We, therefore, think that this paper shows that I am much more ‘mainstream’ and far less ‘crackpot’ than my ‘enemies’ pretend I am. 😊

Ontology and physics

This is definitely my worst paper in terms of structure. It has no flow and jumps from this to that. Even when I read it myself, I wonder what it is trying to say. I must have been in a rather weird mood when I wrote it, and then it got too long and I probably then suddenly had enough of it.[19] The conclusions do sound like I had gone mad: if my kids or someone else would have read it before I published it, they might have prevented me from doing so. Any case, it is there now. I will probably take it off one day.

Of course, I note the month of writing: my specialist had just confirmed my prostate cancer was very aggressive, and that I had to do the surgery sooner rather than later if I wanted to avoid what had killed my brother just months before: metastasis to kidneys and other organs. And my long-term girlfriend has just broke up – again. And I had just come back from yet another terrible consultancy job in Afghanistan. Looking into my diary of those days, I had probably relapsed into a bit of drinking, and too many parties with the ghosts of Oppenheimer and Ehrenfest. :-/ In short, I should take that paper of the web, but I will leave it there just for the record.

A mass-without-mass model of protons and neutrons

This paper is better than the one mentioned above but – at the same time – suffers from the same defects: no clear flow in the argument, ‘jumpy’, and lots of ‘deus ex machina’-like additions and sidekicks.[20] Its only advantage is that it does offer a rather clear explanation of what works and probably cannot work in Wheeler’s geometrodynamicsprogramme: mass-without-mass models are fine. The way to go: forces act on charges, and energy is force over a distance, and mass relates to energy through Einstein’s mass-energy equivalence relation. No problem. But the concept of charge is difficult to reduce. Chiral field theories may yet prove to do that, but I am rather skeptical. I bought the most recent book(s) on that, but I need to find time and energy to work myself through it.

The nuclear force and the neutron hypothesis

This is a much more focused paper. However, I cannot believe I inserted remarks on the ‘elasticity’ of spacetime there: that stinks of what physicist and Nobel Prize winner Robert B. Laughlin wrote[21]:

“It is ironic that Einstein’s most creative work, the general theory of relativity, should boil down to conceptualizing space as a medium when his original premise [in special relativity] was that no such medium existed [..] The word ‘ether’ has extremely negative connotations in theoretical physics because of its past association with opposition to relativity. This is unfortunate because, stripped of these connotations, it rather nicely captures the way most physicists actually think about the vacuum. . . . Relativity actually says nothing about the existence or nonexistence of matter pervading the universe, only that any such matter must have relativistic symmetry. [..] It turns out that such matter exists. About the time relativity was becoming accepted, studies of radioactivity began showing that the empty vacuum of space had spectroscopic structure similar to that of ordinary quantum solids and fluids. Subsequent studies with large particle accelerators have now led us to understand that space is more like a piece of window glass than ideal Newtonian emptiness. It is filled with ‘stuff’ that is normally transparent but can be made visible by hitting it sufficiently hard to knock out a part. The modern concept of the vacuum of space, confirmed every day by experiment, is a relativistic ether. But we do not call it this because it is taboo.”

I was intrigued by that, because I was still struggling somewhat with the meaning of various ratios in my ‘oscillator’ model of elementary particles, but I now think any reference to an ‘aether-like’ quality of space time is not productive. Space and time are, effectively, categories of our mind – as Immanuel Kant had already pointed out about 240 years ago (it is interesting that the Wikipedia article on Einstein notes that Albert Einstein had digested all of Kant’s philosophy at the age of twelve) – and space and time are relativistically related (there is no ‘absolute’ time that ‘pervades’ all of 3D space) – but there is no reason whatsoever to think of relativistic spacetime as being aether-like. It is just the vacuum in which Maxwell’s electromagnetic waves propagate themselves. There is nothing more to it.

An electromagnetic deuteron model

See the general remarks on my attempts to develop a decent model of the neutron and deuteron nucleus. They were triggered by interesting discussions with a Canadian astrophysicist (Andrew Meulenberg), an American retired SLAC researcher (Jerry Va’vra) and a French ‘cold fusion’ researcher (Jean-Luc Paillet). I was originally not very interested because these are aimed at proving a smaller version of the hydrogen (which is usually referred to as the ‘hydrino’) must exist, and that ‘hydrino’ would offer endless possibilities in terms of ‘new energy’ production. The whole enterprise is driven by one of the many crooks that give the field of ‘cold fusion’ a bad name, but managed to get lots of private funding nevertheless: Randell L. Mills, the promotor of the Brilliant Light Power company in New Jersey. The above-mentioned researchers are serious. I do not think as highly of Randell Mills, although I note he impresses people with his books on ‘classical quantum physics’. I note a lot of ‘hocus-pocus’ in these books.

Lectures on Physics Chapter V : Moving charges, EM waves, radiation and near and far fields

This is one of those ‘Feynman-like’ lectures I wrote. I think of all of them as rather nice. I do not go into speculative things, and I take the trouble of writing everything out, so the reader does not have to do all that much thinking and just can ‘digest’ everything rather easily.

Pair production and annihilation as a nuclear process

This is definitely one of the papers I wanted to further develop if ever I would have more time and energy. See my general remarks: SLAC’s E144 experiment (and similar experiments) are very intriguing because they do seem to indicate the quintessential concept of charge may be further reducible to ‘field-like’ oscillations. I must thank André Michaud here for kindly pointing that out to me.

Lectures on Physics Chapter IV : Electron propagation in a lattice

I think of this paper as highly relevant and practical. It points out why the common view that Schrödinger’s wave equation would not be relativistically correct is erroneous: it is based on an erroneous simplification in the ‘heuristic’ derivation of this wave equation in the context of, yes, crystal lattices. Definitely one of the better papers when I look back at it now¾just like the other ‘lecture-like’ papers. The history of these ‘lecture-like’ papers is simple: I realized I needed to write more ‘K-12 level’ papers (although they are obviously not really K-12 level) so as to be able to communicate better on the ‘basics’ of my realist interpretation of quantum physics and the ‘essentials’ of my elementary particle models.

The paper usefully distinguishes concepts that are often used interchangeably, but must be distinguished clearly: waves, fields, oscillations, amplitudes and signals.

The meaning of uncertainty and the geometry of the wavefunction

This is an oft-downloaded paper, and the number of downloads reflects its value: it does offer a rather clear overview of all of my work on ‘interpreting’ the wavefunction, and shows its geometrical meaning. Hence, I will not comment on it: it speaks for itself.

A survivor’s guide to quantum physics

I like this paper. It wanted to present a sort of ‘short-cut’ for people who want to learn about physics fast and, therefore, will want to avoid all of the mistakes I made when trying to understand it.

Lectures on Physics III : The concept of a field

Same remark as for the other ‘lecture-like’ papers: I think of this as a ‘nice’ paper covering all you would want and need to know about the concept of fields.

Feynman’s Time Machine

This paper talks about where Feynman went wrong in his Lectures. Parvus error in principio magnus est in fine (as Aquinas and, before him, Aristotle said so eloquently), and the ‘small mistake at the beginning’ is surely not a ‘happy’ one! :-/ I consider the discovery of this ‘mistake’ to be my greatest personal ‘discovery’ in terms of making sense of it all, and so I do recommend any interested reader to go through the paper.

Lectures on Physics II : Probability amplitudes

This is like the other lectures: a rather straightforward treatment. Of the concept of probability amplitudes, and the related math and physics¾this time.

Lectures on Physics I : Quantum behavior

I appreciate this paper in the same vein: quite straightforward and to the point. It explains the basic ‘mysteries’ which are usually presented in the first course on quantum mechanics at any university in terms that are readily understandable, and shows these are not ‘mysteries’ after all!

Principles of Quantum Physics

For some weird reason, this is a much better ‘summary’ paper than the ones I wrote later (see, for example, my remarks on my Feb 2020 papers).

Matter-waves, amplitudes and signals

This paper further expands on what I consider to be my best paper of all, which is the next one (on de Broglie’s matter-wave). It gets a fair amount of downloads, and so I am happy about that.

De Broglie’s matter-wave: concept and issues

Of all papers, definitely the one I would recommend reading if you have time for only one. See my general remarks on why mainstream QED/QFT does not work. The only thing I should have added are the remarks on Dirac’s equation (this paper has an Annex on wave equations, and so I should have talked about Dirac’s too). But so I did that in the introductory section with general remarks on all of my papers above.

A brief history of quantum-mechanical ideas

I like this paper too. It is not so technical as all of the others, so the ‘lay’ reader may want to go through this. It traces a rather ‘bad’ history of ideas that led nowhere¾but so that is useful to see what should work, and does work, in the field of quantum physics!

The difference between a theory, a calculation, and an explanation

I like this one too. It should probably be read in combination with the above-mentioned paper on the bad ideas in the history of quantum physics.

It is fifty (50!) pages, though. But it has some really interesting things, such as much more consistent presentation of why Mach-Zehnder interference (‘one-photon’ diffraction, or the so-called ‘interference with a photon with itself’) is not so mysterious as it appears to be. It surely should not be explained in terms of nonsensical concepts such as non-locality, entanglement and what have you in modern-day gibberish.

An alternative Theory of Everything: Classical Quantum Physics

This was my very first ‘entry’ on ResearchGate. It is based on the 60-odd papers and the hundreds of blog posts I had published in the decades before, on sites such as viXra.org that are not considered to be mainstream and, therefore, shunned by most. In fact, in the very beginning, I copied my papers on three sites: ResearchGate, viXra.org and academia.org. I stopped doing that when things picked up on RG. I do think of it as the more serious site of the three. 😊

[…]

Well… That is it! If you got here, congratulations for your perseverance!

Jean Louis Van Belle, 6 December 2021


[1] I downloaded the image from a website selling Christmas presents long time ago, and I have not been able to trace back from where I have got it. If someone recognizes this as their picture, please let us know and we will acknowledge the source or remove it.

[2] Particles are small – very small – but not infinitesimally small: they have a non-zero spatial dimension, and structure! Only light-like particles – photons and neutrinos – are truly pointlike, but even they do have a structure as they propagate in relativistic spacetime.

[3] I got the label of ‘crackpot theorist’ or the reproach of ‘not understanding the basics’ a bit all too often, and too often from people who do have better academic credentials in the field, but a publication record which is far less impressive¾or in an unrelated field.

[4] See: John Stewart Bell, Speakable and unspeakable in quantum mechanics, pp. 169–172, Cambridge University Press, 1987 (quoted from Wikipedia). J.S. Bell died from a cerebral hemorrhage in 1990 – the year he was nominated for the Nobel Prize in Physics and which he, therefore, did not receive (Nobel Prizes are not awarded posthumously). He was just 62 years old then.

[5] We think the latest revision of SI units (2019) consecrates that: that revision completes physics. It defines a very precise number of constants in Nature, and simplifies the system such that the system is complete without redundancy. It, therefore, respects Occam’s Razor Principle: the number of degrees of freedom in the description matches that which we find in Nature. Besides prof. dr. Pohl’s contributions to solving the proton radius puzzle, his role in the relevant committees on this revision probably also make him one of the truly great scientists of our era.

[6] We contacted both. Ms. Hossenfelder never reacted to our emails. Mr. Carroll quoted some lines from John Baez’ ‘crackpot index’. I had heard such jokes before so I did not find them so amusing anymore.

[7] Sometimes I find an error even in a formula. That is annoying, but then it is also good: it makes readers double-check and look at the material more carefully. It makes them think for themselves, which is what they should do.

[8] Dirac basically expands this basic energy-momentum relation into a series, but the mathematical conditions for which such expansion is valid are, apparently, not there. The first-, second-, third-, fourth-, etc.-order terms do not converge, and one gets those ‘infinities’ which blow it all up¾which is why Dirac, nearing the end of his life, got so critical and annoyed by the very theory his wave equation led to: quantum field theory. Reading between the lines, a number of Nobel Prize winners in physics do seem to reject some of the theories for which they got the award. W.E. Lamb is one of them: he wrote a highly critical paper of the concept of a photon at rather old age, despite the fact that his contributions to this field of study had yielded him a Nobel Prize! Richard Feynman is another example: he got a Nobel Prize for a number of modern contributions, but his analysis of ‘properties’ such as ‘ strangeness’ in his 1963 Lectures on Physics can be read as being highly critical of the ‘ontologizing’ of concepts such as quarks and gluons, which he seems to think of as being mathematical concepts only. I talk a bit about that in my paper on the alternative to modern-day QED and QFT (a new S-matrix programme), so I will not say more about this here.

[9] Protons are ‘nuclear’ particles.

[10] I think I do a much better job at explaining interference and/or diffraction of electrons in the mentioned papers, although the reader may also be hungry for more detail there.

[11] The reader should note that, although the mass of an electron is only about 1/2000 of that of a proton, the radius of a (free) electron is actually much larger than the radius of a proton. That is a strange thing but it is what it is: a proton is very massive because of that very strong (nuclear) force inside. Hence, when trying to visualize these n = p + e models, one should think of something like an electron cloud with a massive positive charge whirling around in it¾rather than the other way around.

[12] The interested reader can google what this is about.

[13] It is a weird coincidence of history that the proceedings of the Solvay Conferences are publicly available in French, even if many papers must have been written in English. The young Louis de Broglie was one of those young secretaries tasked with translations in what was then a very prominent scientific language: French. It got him hooked, obviously.

[14] When reading modern-day articles in journals, one gets the impression a lot of people theorize an awful lot about very little empirical or experimental data.

[15] The idea is that the pointlike charge itself has no inertial mass. It, therefore, goes round and round at the speed of light. However, while doing so, it acquires an effective mass, which is (usually) half of the total mass of the particle as a whole. This ½ factor confuses many, but should not do so. It comes directly out of the energy equipartition principle, and can also be derived from rather straightforward relativistically correct oscillator energy calculations (see p. 9 of our paper on the meaning of the wavefunction).

[17] We get value that is twice as large as the usual 2.8 fm range. By the way, we think of the latter value as being ‘rather random’ because it is just the deuteron radius. Indeed, if, as a nuclear scientist, you do not have any idea about what range to use for a nuclear scale factor (which is pretty much the case), then that is surely a number that would come in handy, because it is empirical rather than theoretical. We honestly think there is nothing more to it, but I think academics will probably cry wolf and say that their models are much more sophisticated than what I suggest here. I will be frank: can you show me why and how, not approximately but exactly?

[18] If you click on the link, you will see my blog post on it, which also thinks of the Higgs particle – a ‘scalar’ particle, really? – as a figment of the mind. My criticism on these theories which can never really be proven goes back years ago, but has not softened. On the contrary.

[19] This is also a paper with a fair amount of types. On page 36, I talk of the prediction of the proton, for example. Of course, I meant to say: the prediction of the existence of the positron. Such typos are bad. I am ashamed.

[20] Some of these ‘sidekicks’ do get more attention in later papers (e.g. this paper has the early thinking on using orbital energy equations to model orbitals of pointlike charges instead of masses), but they come across as rather chaotic and not well thought-through in this paper, because they were chaotic and not well thought-through at that point in time.

[21] We quote from the Wikipedia article on aether theories here.

Extreme views: enthusiasts versus relativity doubters

As mentioned in my previous post, I did pick up a few discussion threads again – on email and on ResearchGate. It led to some more enthusiastic responses and more readings of some of my papers. More substantially, I updated my paper on electron-positron pair production with a discussion on SLAC’s famous 1997 E144 experiment, and my views on it (I do not think matter/antimatter comes out of photons – the experiment does not keep track of the incoming electrons, and what happens to them), and that was an important question which had lingered in my mind and on which I did not have much of an answer (my answer now is not ‘definite’ in any way, but I think it is logical and, therefore, I do not think of the experiment as invalidating the ‘realist’ interpretation of quantum physics that I have been pursuing.

However, the renewed engagement in RG discussions also attracted rather mindboggling interventions of a whole range of new ‘nay-sayers’ who – for some reason I do not understand – doubt relativity theory. I think one can doubt a lot in quantum physics (if you have read any of my papers, you will see I do doubt quite a few things), but not relativity. It pervades each and every equation we use, and those equations have proven to work. Frankly, it is discouraging to see such intelligent people saying such stupid things. I copy one exchange below to highlight the nature of these exchanges, which made me ‘switch off’ again: there are more important things in life than trying to make a blind man see something he just cannot.

I must admit I hate to hear from people who truly seem to doubt that SRT and/or GRT theory is valid that I ‘do not understand the basics’. Pretty incredible, really. It does make one leave the discussion at where it stands – which is at a pretty miserable state. :-/

Deep electron orbitals and the essence of quantum physics

After a long break (more than six months), I have started to engage again in a few conversations. I also looked at the 29 papers on my ResearchGate page, and I realize some of them would need to be re-written or re-packaged so as to ensure a good flow. Also, some of the approaches were more productive than others (some did not lead anywhere at all, actually), and I would need to point those out. I have been thinking about how to approach this, and I think I am going to produce an annotated version of these papers, with comments and corrections as mark-ups. Re-writing or re-structuring all of them would require to much work.

The mark-up of those papers is probably going to be based on some ‘quick-fire’ remarks (a succession of thoughts triggered by one and the same question) which come out of the conversation below, so I thank these thinkers for having kept me in the loop of a discussion I had followed but not reacted to. It is an interesting one – on the question of ‘deep electron orbitals’ (read: the orbitals of negative charge inside of a nucleus exist and, if so, how one can model them. If one could solve that question, one would have a theoretical basis for what is referred to as low-energy nuclear reactions. That was known formerly as cold fusion, but that got a bit of a bad name because of a number of crooks spoiling the field, unfortunately.

PS: I leave the family names of my correspondents in the exchange below out so they cannot be bothered. One of them, Jerry, is a former American researcher at SLAC. Andrew – the key researcher on DEPs – is a Canadian astrophysicist, and the third one – Jean-Luc – is a rather prominent French scientist in LENR.]

From: Jean Louis Van Belle
Sent: 18 November 2021 22:51
Subject: Staying engaged (5)

Oh – and needless to say, Dirac’s basic equation can, of course, be expanded using the binomial expansion – just like the relativistic energy-momentum relation, and then one can ‘cut off’ the third-, fourth-, etc-order terms and keep the first and second-order terms only. Perhaps it is equations like that kept you puzzled (I should check your original emails). In any case, this way of going about energy equations for elementary particles is a bit the same as those used in perturbation equations in which – as Dirac complained – one randomly selects terms that seem to make sense and discard others because they do not seem to make sense. Of course, Dirac criticized perturbation theory much more severely than this – and rightly so. 😊 😊 JL

From: Jean Louis Van Belle
Sent: 18 November 2021 22:10
Subject: Staying engaged (4)

Also – I remember you had some questions on an energy equation – not sure which one – but so I found Dirac’s basic equation (based on which he derives the ‘Dirac’ wave equation) is essentially useless because it incorporates linear momentum only. As such, it repeats de Broglie’s mistake, and that is to interpret the ‘de Broglie’ wavelength as something linear. It is not: frequencies, wavelengths are orbital frequencies and orbital circumferences. So anything you would want to do with energy equations that are based on that, lead nowhere – in my not-so-humble opinion, of course. To illustrate the point, compare the relativistic energy-momentum relation and Dirac’s basic equation in his Nobel Prize lecture (I hope the subscripts/superscripts get through your email system so they display correctly):

m02c4 = E2 – p2c2 (see, for example, Feynman-I-16, formula 16-3)

Divide the above by c2 and re-arrange and you get Dirac’s equation: W2/c2 – pr2 – m2/c2 = 0 (see his 1933 Nobel Prize Lecture)

So that cannot lead anywhere. It’s why I totally discard Dirac’s wave equation (it has never yielded any practical explanation of a real-life phenomenon anyway, if I am not mistaken).

Cheers – JL

From: Jean Louis Van Belle
Sent: 18 November 2021 21:49
Subject: Staying engaged (3)

Just on ‘retarded sources’ and ‘retarded fields’ – I have actually tried to think of the ‘force mechanism’ inside of an electron or a proton (what keeps the pointlike charge in this geometric orbit around a center of mass?). I thought long and hard about some kind of model in which we have the charge radiate out a sub-Planck field, and that its ‘retarded effects’ might arrive ‘just in time’ to the other side of the orbital (or whatever other point on the orbital) so as to produce the desired ‘course correction’ might explain it. I discarded it completely: I am now just happy that we have ‘reduced’ the mystery to this ‘Planck-scale quantum-mechanical oscillation’ (in 2D or 3D orbitals) without the need for an ‘aether’, or quantized spacetime, or ‘virtual particles’ actually ‘holding the thing together’.

Also, a description in terms of four-vectors (scalar and vector potential) does not immediately call for ‘retarded time’ variables and all that, so that is another reason why I think one should somehow make the jump from E-B fields to scalar and vector potential, even if the math is hard to visualize. If we want to ‘visualize’ things, Feynman’s discussion of the ‘energy’ and ‘momentum’ flow in https://www.feynmanlectures.caltech.edu/II_27.html might make sense, because I think analyses in terms of Poynting vectors are relativistically current, aren’t they? It is just an intuitive idea…

Cheers – JL

From: Jean Louis Van Belle
Sent: 18 November 2021 21:28
Subject: Staying engaged (2)

But so – in the shorter run – say, the next three-six months, I want to sort out those papers on ResearchGate. The one on the de Broglie’s matter-wave (interpreting the de Broglie wavelength as the circumference of a loop rather than as a linear wavelength) is the one that gets most downloads, and rightly so. The rest is a bit of a mess – mixing all kinds of things I tried, some of which worked, but other things did not. So I want to ‘clean’ that up… 😊 JL

From: Jean Louis Van Belle
Sent: 18 November 2021 21:21
Subject: Staying engaged…

Please do include me in the exchanges, Andrew – even if I do not react, I do read them because I do need some temptation and distraction. As mentioned, I wanted to focus on building a credible n = p + e model (for free neutrons but probably more focused on a Schrodinger-like D = p + e + p Platzwechsel model, because the deuteron nucleus is stable). But so I will not do that the way I studied the zbw model of the electron and proton (I believe that is sound now) – so that’s with not putting in enough sleep. I want to do it slowly now. I find a lot of satisfaction in the fact that I think there is no need for complicated quantum field theories (fields are quantized, but in a rather obvious way: field oscillations – just like matter-particles – pack Planck’s quantum of (physical) action which – depending on whether you freeze time or positions as a variable, expresses itself as a discrete amount of energy or, alternatively, as a discrete amount of momentum), nor is there any need for this ‘ontologization’ of virtual field interactions (sub-Planck scale) – the quark-gluon nonsense.

Also, it makes sense to distinguish between an electromagnetic and a ‘strong’ or ‘nuclear’ force: the electron and proton have different form factors (2D versus 3D oscillations, but that is a bit of a non-relativistic shorthand for what might be the case) but, in addition, there is clearly a much stronger force at play within the proton – whose strength is the same kind of ‘scale’ as the force that gives the muon-electron its rather enormous mass. So that is my ‘belief’ and the ‘heuristic’ models I build (a bit of ‘numerology’ according to Dr Pohl’s rather off-hand remarks) support it sufficiently for me to make me feel at peace about all these ‘Big Questions’.

I am also happy I figured out these inconsistencies around 720-degree symmetries (just the result of a non-rigorous application of Occam’s Razor: if you use all possible ‘signs’ in the wavefunction, then the wavefunction may represent matter as well as anti-matter particles, and these 720-degree weirdness dissolves). Finally, the kind of ‘renewed’ S-matrix programme for analyzing unstable particles (adding a transient factor to wavefunctions) makes sense to me, but even the easiest set of equations look impossible to solve – so I may want to dig into the math of that if I feel like having endless amounts of time and energy (which I do not – but, after this cancer surgery, I know I will only die on some ‘moral’ or ‘mental’ battlefield twenty or thirty years from now – so I am optimistic).

So, in short, the DEP question does intrigue me – and you should keep me posted, but I will only look at it to see if it can help me on that deuteron model. 😊 That is the only ‘deep electron orbital’ I actually believe in. Sorry for the latter note.

Cheers – JL   

From: Andrew
Sent: 16 November 2021 19:05
To: Jean-Luc; Jerry; Jean Louis
Subject: Re: retarded potential?

Dear Jean-Louis,

Congratulations on your new position. I understand your present limitations, despite your incredible ability to be productive. They must be even worse than those imposed by my young kids and my age. Do you wish for us to not include you in our exchanges on our topic? Even with no expectation of your contributing at this point, such emails might be an unwanted temptation and distraction.

Dear Jean-Luc,

Thank you for the Wiki-Links. They are useful. I agree that the 4-vector potential should be considered. Since I am now considering the nuclear potentials as well as the deep orbits, it makes sense to consider the nuclear vector potentials to have an origin in the relativistic Coulomb potentials. I am facing this in my attempts to calculate the deep orbits from contributions to the potential energies that have a vector component, which non-rel Coulomb potentials do not have.

For examples: do we include the losses in Vcb (e.g., from the binding energy BE) when we make the relativistic correction to the potential; or, how do we relativistically treat pseudo potentials such as that of centrifugal force? We know that for equilibrium, the average forces must cancel. However, I’m not sure that it is possible to write out a proper expression for “A” to fit such cases.

Best regards to all,

Andrew

_ _ _

On Fri, Nov 12, 2021 at 1:42 PM Jean-Luc wrote:

Dear all,

I totally agree with the sentence of Jean-Louis, which I put in bold in his message, about vector potential and scalar potential, combined into a 4-vector
potential A
, for representing EM field in covariant formulation. So EM representation by 4-vector A has been very developed, as wished by JL,
in the framework of QED.

We can note the simplicity of Lorentz gauge written by using A.
   https://en.wikipedia.org/wiki/Lorenz_gauge_condition

We can see the reality of vector potential
in the Aharonov-Bohm effect:
    https://en.wikipedia.org/wiki/Aharonov-Bohm_effect.
In fact, we can see that vector potential contains more information than E,B fields.
Best regards

   Jean-Luc
Le 12/11/2021 à 05:43, Jean Louis Van Belle a écrit :

Hi All – I’ve been absent in the discussion, and will remain absent for a while. I’ve been juggling a lot of work – my regular job at the Ministry of Interior (I got an internal promotion/transfer, and am working now on police and security sector reform) plus consultancies on upcoming projects in Nepal. In addition, I am still recovering from my surgery – I got a bad flue (not C19, fortunately) and it set back my auto-immune system, I feel. I have a bit of a holiday break now (combining the public holidays of 11 and 15 November in Belgium with some days off to bridge so I have a rather nice super-long weekend – three in one, so to speak).

As for this thread, I feel like it is not ‘phrasing’ the discussion in the right ‘language’. Thinking of E-fields and retarded potential is thinking in terms of 3D potential, separating out space and time variables without using the ‘power’ of four-vectors (four-vector potential, and four-vector space-time). It is important to remind ourselves that we are measuring fields in continuous space and time (but, again, this is relativistic space-time – so us visualizing a 3D potential at some point in space is what it is: we visualize something because our mind needs that – wants that). The fields are discrete, however: a field oscillation packs one unit of Planck – always – and Planck’s quantum of action combines energy and momentum: we should not think of energy and momentum as truly ‘separate’ (discrete) variables, just like we should not think of space and time as truly ‘separate’ (continuous) variables.

I do not quite know what I want to say here – or how I should further work it out. I am going to re-read my papers. I think I should further develop the last one (https://www.researchgate.net/publication/351097421_The_concepts_of_charge_elementary_ring_currents_potential_potential_energy_and_field_oscillations), in which I write that the vector potential is more real than the electric field and the scalar potential should be further developed, and probably it is the combined scalar and vector potential that are the ’real’ things. Not the electric and magnetic field. Hence, illustrations like below – in terms of discs and cones in space – do probably not go all that far in terms of ‘understanding’ what it is going on… It’s just an intuition…

Cheers – JL

From: Andrew
Sent: 23 September 2021 17:17
To: Jean-Luc; Jerry; Jean Louis
Subject: retarded potential?

Dear Jean-Luc,

Becasue of the claim that gluons are tubal, I have been looking at the disk-shaped E-field lines of the highly-relativistic electron and comparing it to the retarded potential, which, based on timing, would seem to give a cone rather than a disk (see figure). This makes a difference when we consider a deep-orbiting electron. It even impacts selection of the model for impact of an electron when considering diffraction and interference.

Even if the field appears to be spreading out as a cone, the direction of the field lines are that of a disk from the retarded source. However, how does it interact with the radial field of a stationary charge?

Do you have any thoughts on the matter.

Best regards,

Andrew

_ _ _

On Thu, Sep 23, 2021 at 5:05 AM Jean-Luc wrote:

Dear Andrew, Thank you for the references. Best regards, Jean-Luc

Le 18/09/2021 à 17:32, Andrew a écrit :
> This might have useful thoughts concerning the question of radiation
> decay to/from EDOs.
>
> Quantum Optics Electrons see the quantum nature of light
> Ian S. Osborne
> We know that light is both a wave and a particle, and this duality
> arises from the classical and quantum nature of electromagnetic
> excitations. Dahan et al. observed that all experiments to date in
> which light interacts with free electrons have been described with
> light considered as a wave (see the Perspective by Carbone). The
> authors present experimental evidence revealing the quantum nature of
> the interaction between photons and free electrons. They combine an
> ultrafast transmission electron microscope with a silicon-photonic
> nanostructure that confines and strengthens the interaction between
> the light and the electrons. The “quantum” statistics of the photons
> are imprints onto the propagating electrons and are seen directly in
> their energy spectrum.
> Science, abj7128, this issue p. 1324; see also abl6366, p. 1309

Physical humbug

A good thing and a bad thing today:

1. The good thing is: I expanded my paper which deals with more advanced questions on this realist interpretation of QM (based on mass-without-mass models of elementary particles that I have been pursuing). I think I see everything clearly now: Maxwell’s equations only make sense as soon as the concepts of charge densities (expressed in coulomb per volume or area unit: C/m3 or C/m2) and currents (expressed in C/s) start making sense, which is only above the threshold of Planck’s quantum of action and within the quantization limits set by the Planck-Einstein relation. So, yes, we can, finally, confidently write this:

Quantum Mechanics = All of Physics = Maxwell’s equations + Planck-Einstein relation

2. The bad thing: I had an annoying discussion on ResearchGate on the consistency of quantum physics with one of those people who still seem to doubt both special as well as general relativity theory.

To get my frustration out, I copy the exchange below – as it might be informative when you are confronted with weirdos on some scientific forum too! It starts with a rather non-sensical remark on the reality of infinities, and an equally non-sensical question on how we get quantization from classical equations (Maxwell’s equations and then Gauss and Stokes theorem), to which the answer has to be: we do not, of course! For that, you need to combine them with the Planck-Einstein relation!

Start of the conversation: Jean Louis Van Belle, I found Maxwell quite consistent with, for instance Stokes aether model. Can you explain how he ‘threw it out‘. It was a firm paradigm until Einstein removed it’s power to ‘change‘ light speed, yet said “space without aether is unthinkable.” (Leiden ’21). He then mostly re-instated it in his ’52 paper correcting 1905 interpretations in bounded ‘spaces in motion within spaces) completed in the DFM. ‘QM’ then emerges.

My answer: Dear Peter – As you seem to believe zero-dimensional objects can have properties and, therefore, exist, and also seem to believe infinity is also real (not just a mathematical idealization), then we’re finished talking, because – for example – no sensible interpretation of the Planck-Einstein relation is possible in such circumstances. Also, all of physics revolves around conjugate variables, and these combine in products or product sums that have very small but finite values (think of typical canonic commutator relations, for example): products of infinity and zero are undefined – in mathematics too, by the way! I attach a ‘typically Feynman’ explanation of one of these commutator relations, which talks about the topic rather well. I could also refer to Dirac’s definition of the Dirac function (real probability functions do not collapse into an infinite probability density), or his comments on the infinities appearing in the perturbation theory he himself had developed, and which he then distanced himself from exactly because it generated infinities, which could not be ‘real’ according to him. I’ve got the feeling you’re stuck in 19th century classical physics. Perhaps you missed one or two other points from Einstein as well (apart from the references you give).To relate this discussion to the original question of this thread, I’d say: physicists who mistake mathematical idealizations for reality do obviously not understand quantum mechanics. Cheers – JL

PS: We may, of course, in our private lives believe that God ‘exists’ and that he is infinite and whatever, but that’s personal conviction or opinion: it is not science, nothing empirical that has been verified and can be verified again at any time. Oh – and to answer your specific question on Maxwell’s equations and vector algebra (Gauss and Stokes theorem), they do not incorporate the Planck-Einstein relation. That’s all. Planck-Einstein (quantization of reality) + Maxwell (classical EM) = quantum physics.

Immediate reply: Jean Louis Van Belle , I don’t invoke either zero dimensional objects, infinity or God! Neither the Planck length or Wolframs brilliant 10-93 is ‘zero’. Fermion pair scale is the smallest ‘Condensed Matter‘ but I suggest we must think beyond that to the condensate & ‘vacuum energy’ scales to advance understanding. More 22nd than 19th century! Einstein is easy to ‘cherry pick’ but his search for SR’s ‘physical’ state bore fruit in 1952!

[This Peter actually did refer to infinities and zeroes in math as being more than mathematical idealizations, but then edited out these specific stupidities.]

My answer: Dear Peter – I really cannot understand why you want to disprove SRT. SRT (or, at least, the absoluteness of lightspeed) comes out of Maxwell’s equations. Einstein just provided a rather heuristic argument to ‘prove’ it. Maxwell’s equations are the more ‘real thing’ – so to speak. And then GRT just comes from combining SRT and Mach’s principle. What problem are you trying to solve? I understand that, somehow, QM does NOT come across as ‘consistent’ to you (so I do not suffer from that: all equations look good to me – I just have my own ‘interpretation’ of it, but I do not question their validity). You seem to suspect something is wrong with quantum physics somewhere, but I don’t see exactly where.

Also, can you explain in a few words what you find brilliant about Wolfram’s number? I find the f/m = c2/h = 1.35639248965213E50 number brilliant, because it gives us a frequency per unit mass which is valid for all kinds of mass (electron, proton, or whatever combination of charged and neutral matter you may think of), but so that comes out of the E = mc2 and E = hf, and so it is not some new ‘God-given’ number or something ‘very special’: it is just a straight combination of two fundamental constants of Nature that we already know. I also find the fine-structure constant (and the electric/magnetic constants) ‘brilliant numbers’ but, again, I don’t think they are something mysterious. So what is Wolfram’s number about? What kind of ratio or combination of functions or unexplained explanation or new undiscovered simplification of existing mainstream explanations does it bring? Is it a new proportionality constant – some elasticity of spacetime, perhaps? A combination of Planck-scale units? Does it connect g and the electric constant? An update of (the inverse of) Eddington’s estimate of the number of protons in the Universe based on latest measurements of the cosmological constant? Boltzmann’s number and Avogadro’s constant (or, in light of the negative exponent, their inverse) – through the golden ratio or a whole new ‘holographic’ theory? New numbers are usually easy to explain in terms of existing theory – or in terms of what they propose to change to existing theory, no?

Perhaps an easy start is to give us a physical dimension for Wolfram’s number. My 1.35639248965213E50 number is the (exact) number of oscillations per kg, for example – not oscillations of ‘aether’ or something, but of charge in motion. Except for the fine-structure constant, all numbers in physics have a physical dimension (except if they’re scaling or coupling constants, such as the fine-structure constant), even if it’s only a scalar (plain number), it’s a number describing x units of something) or a density (then it is x per m3 or m2, per J, per kg, per coulomb, per ampere, etcetera – whatever SI unit or combination of SI units you want to choose).

On a very different note, I think that invoking some statement or a late paper of Einstein in an attempt to add ‘authority’ to some kind of disproof of SRT invokes the wrong kind of authority. 🙂 If you would say Heisenberg or Bohr or Dirac or Feynman or Oppenheimer started doubting SRT near the end of their lives, I’d look up and say: what? Now, no. Einstein had the intellectual honesty to speak up, and speak up rather loudly (cf. him persuading the US President to build the bomb).

As for the compatibility between SRT and GRT and quantum mechanics, the relativistically invariant argument of the wavefunction shows no such incompatibility is there (see Annex II and III of The Zitterbewegung hypothesis and the scattering matrix). Cheers – JL

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Personal conclusion: I think I’ll just stay away from ResearchGate discussions for a while. They are not always good for one’s peace of mind. :-/