I just produced a first draft of the Metaphysics page of my new physics site. It does not only deal with the fundamental concepts we have been developing but – as importantly, if not more – it also offers some thoughts on all of the unanswered questions which, when trying to do science and be logical, are at least as important as the questions we do consider to be solved. Click the link or the tab. Enjoy ! 🙂 As usual, feedback is more than welcome!

# Category: Mathematics

# New physics…

In my previous post, I wrote about the End of Physics. Of course, we need to replace the Old Physics by the new. I have structured a new website (ideez.org), and created the very first page for it. It is probably the most fundamental one, as it deals with all of the matter-particles: it uses the ring current model to explain their geometry which – in turn – explains all of their intrinsic properties. No magic here ! Or… Well… Maybe it’s the *right *kind of magic ! No Bright Shining Lies, in any case ! Enjoy ! JL

# The End of Physics?

I just uploaded an update of my 10-page summary of what—paraphrasing Wittgenstein—I think might be the case. 🙂 So what’s that? It’s a basic description of what I think of as reality—at the most fundamental level, that is—in terms of a concise set of (classical) equations that speak to us (or to *me*, I should say). Needless to say, that set of classical equations includes an interpretation of the Planck-Einstein relation: E = *h*·*f* or E·T = *h*, in which T is interpreted as the cycle time of a particle.

The reader who hasn’t read me before will probably raise his (or her?) eyebrows here: the *cycle time of a particle*? **Seriously? What do you mean by that?**

Well… I won’t try to explain, really. The gist of it is this: think of it as a clock. The frequency of that clock is either *on* or *off—*relative to what we may refer to as some *fundamental* frequency of spacetime. If it’s *on* (the same frequency), our particle will be stable. If not, it will disintegrate into stable(r) constituents—electrons, protons, photons or neutrinos. Or—if we’re talking much larger conglomerates falling apart—some stable *configuration *of them: think of a neutron inside a nucleus, a hydrogen atom, a simple naked nucleus, or an actual atom (but here we’re entering the realm of chemistry—as opposed to elementary physics).

As a result, the paper has become a bit longer. Well… More than a bit, perhaps: it’s 20-25 pages now. The point is this: I feel it’s pretty complete, but I am left with the following issues and questions—or ‘clusters of analysis’ as I’d say in my line of business (which is finance and project management—not QM!):

- Is the (electric) charge inside an electron – and a proton—any matter-particle, really – a fractal structure or not?
- What is the
*nature*of the ‘stronger’ force inside of the proton: I vaguely distinguish between the fundamental frequency and one or more higher*modes*of spacetime – but that needs to be ‘translated’ into a better ‘visual’ image of what might or might not be going on. - Electron-positron pair creation/annihilation. Or—more generally speaking—the question of the fundamental
*nature*of anti-matter in general.

I have a few preliminary thoughts on that, but I’d like to invite comments—because I am really puzzled by the above and talking about it surely helps! My guts instinct tells me this:

**1.** The idea of the *zbw *charge inside matter-particles being some fractal structure is appealing and not. It’s appealing because the radius of the zbw charge inside a proton must be smaller than the classical electron radius – so some fractal structure (to explain the origin of mass) is definitely something to consider.

—But then it’s also *not *appealing because it keeps that ambiguity: is Nature continuous or not? Is a charge some *finite *structure or not? Perhaps we should just accept the idea of a charge combines all of our concepts: force, mass—and the idea of (in)definiteness? 🙂

[I am joking and then I am not: I often feel the Uncertainty Principle is where the Pope thinks God might be hiding, so if we abolish that, the Vatican will need something else, right?]

**2.** The idea of the ‘strong’ (or ‘stronger’) force grabbing onto the same charge (i.e. the electric charge) is great because it greatly simplifies the analysis. The idea of a strong force grabbing onto a strong charge is appealing (we had already invented a unit for the strong charge) but it hugely complicates our thinking of the proton as some *unitary *particle. Why? Think of this question: what force grabs on what charge, and how exactly, and how do the two charges then relate to each other? – no strong charge needed! I really must thank Giorgio Vassallo here for pointing out I should try to simplify as much as possible when thinking about the QCD sector. [I hope Dr. Vassallo appreciates the compliment—can’t be sure of that coz he’s rather taciturn. :-)]

**3.** The third of the three questions is the most difficult one. From all of Dirac’s formal or informal remarks on the *state *of our knowledge, it’s clear he struggled very much with that too. The gist of the matter is this: our world could be an anti-matter world. We may think of that as a mathematical fiction: who cares if we write q or −q in our equations? No one, right? It’s just a convention, and so we can just swap signs, right?

Well… No. Dirac had noticed the *mathematical *possibility early on—in 1928, to be precise, as soon as he had published his equation for the free electron. He said this about it in his 1933 Nobel Prize Lecture:

“If we accept the view of complete symmetry between positive and negative electric charge so far as concerns the fundamental laws of Nature, we must regard it rather as an accident that the Earth (and presumably the whole solar system), contains a preponderance of negative electrons and positive protons.”

The carefully chosen ‘preponderance’ term shows he actually did imagine some stars could possibly be made of anti-matter, and he said as much in the very same lecture:

“It is quite possible that for some of the stars it is the other way about, these stars being built up mainly of positrons and negative protons. […] The two kinds of stars would both show exactly the same spectra, and there would be no way of distinguishing them by present astronomical methods.”

Strangely enough, he doesn’t mention Carl D. Anderson who – just the previous year (1932) – had actually found the trace of an *actual *positron on one of his cloud chamber pictures of what happens to cosmic radiation when it enters… Well… Anderson’s cloud chamber. 🙂 Anderson got his own Nobel Prize for it – and one that’s very well deserved (the reader who’s read our previous posts will know we have serious doubts on the merit of some (other) Nobel Prizes).

The point is this: we should not think of matter and anti-matter as being ‘separate worlds’ (theoretical and/or physical). No. Pair creation/annihilation should be part and parcel of our ‘world view’ (read: our classical explanation of quantum physics). So what can/should we do with this?

[…]

Nothing at all, perhaps. If we stare at the equations long enough, they all start making sense after a while, don’t they? Especially when enjoying a Belgian beer or a good glass of wine. Feynman quoted an unknown poet in one of his introductory lectures to his *Lectures*:

“The whole universe is in a glass of wine.”

Again, after having deified Feynman for decades, I regret to say that I now have to think of Richard Feynman as being a very complicated personality *defending mainstream thought rather than trying to revolutionize scientific thought*. Having said that, I still fully agree with most of his metaphorical statements, and the one above surely tops *my* list. 🙂

# Freeman Dyson’s death

As we are doing stupid stuff anyway – like writing to the Nobel Prize Committee – I thought I should just go all the way, and finally contact the man who must know the truth on whether or not mainstream QM is just a gigantic hoax: a sophisticated mass deception effort—think of it as a PR stunt to keep big tech projects going!

The name of the man is Freeman Dyson. He’s the last man standing of the post-WW II generation which I now refer to as the *Mystery Wallahs*. He’s 96, I think.

[…]

*Oh hell !* I just checked: he passed away too. Just 10 days ago, on 28 February 2020. He died, apparently, from the complications from a fall in the cafeteria in Princeton’s Institute for Advanced Studies, from which I got his email address. This is plain *eerie*: I was writing to a dead man !

I did not receive any error or other message. I guess they haven’t deactivated his email account yet.

[…]

**Post scriptum**—or my obituary, I guess: Despite the rather romantic image of Freeman Dyson as the crazy iconoclastic or ‘heretic’ scientist (he never bothered to get a PhD, for example), I do *not* associate him with anything good—if only because of his stance on climate change, and I thank the NY Times journalist who wrote his obituary for writing what should be written here:

“He doubted the veracity of the climate models, and he exasperated experts with sanguine predictions they found rooted less in science than in wishfulness: Excess carbon in the air is good for plants, and global warming might forestall another ice age.”

That should generate enough dislike, I’d think. However, I don’t like him because of an entirely different: the reason why I finally wrote him that email he now can’t read. Perhaps it’s better this way: I hope he takes what I now think of as a Bright Shining Lie to the grave.

It’s probably a futile hope: editorial lines of scientific journals will probably not change any time soon. Sayre’s Law: “Academic politics is much more vicious than real politics.” Sayre thought it was “because the stakes are so small.”

I agree with Oliver Consa here: the latter probably isn’t true. US$600 m projects do warrant a decent PR fight, don’t they? I, therefore, suspect the *Mystery Wallahs *will prevail. As most – if not all of them – also said they do believe in God, I guess that suits everyone then.

**From:** Jean Louis Van Belle

**Sent:** Monday, March 9, 2020 7:09 AM

**To:** ‘dyson@ias.edu’ <dyson@ias.edu>

**Subject:** Last man standing…

Dear Professor – I hope this email reaches you. I’ve been thinking of writing you for many years, as you are the ‘last man standing’ of a incredibly smart group of people who basically developed what we now refer to as the Standard Model of physics.

As I am reaching a rather ripe old age myself now – but still trying to establish what, in my world (which is consulting and finance), is referred to as some kind of ‘basic version of truth’ – there are many topics and questions I would want to ask, but I’ll reduce them to one very simple question on the enclosed paper, which was written by a very smart young man: Dr. Oliver Consa (*Something is rotten in the state of QED*, Feb 2020).

The question is this: what do you think of Dr. Consa’s ‘version of truth’?

Kindest regards – Jean Louis

Jean Louis Van Belle

Phone: +32 (0)471 079 892

Skype ID: jean.louis.van.belle

Email: jeanlouisvanbelle@outlook.com

LinkedIn: https://www.linkedin.com/in/jean-louis-van-belle-85b74b7a/

Blog: https://readingfeynman.org/

viXra org: https://vixra.org/author/jean_louis_van_belle

Academia.edu: https://independent.academia.edu/JeanLouisVanBelle

“*None of us is as smart as all of us*.” (Kenneth Blanchard)

# Another catastrophe in the making?

It’s funny, but I feel the scientific atmosphere may resemble that of the end of the 19th century: what was supposed to be the triumph of classical physics (with Maxwell publishing his famous equations of electromagnetism) suddenly turned into a catastrophe: the ultraviolet catastrophe, to be precise. And it required an Einstein to publish a radical theory altering the world view (relativity theory). I feel a similar catastrophe – and a better theory of quantum mechanics as well, of course! – may be in the making. Hence, I couldn’t restrain myself and thought it’s time for some fun. So I wrote the following letter to the Nobel Prize Committee.

Let’s see if they react. I don’t think so, but then one never knows, right? 🙂

QUOTE

Dear Sir/Madam – I am just an amateur physicist but, having followed the popular physics scene for many years now, I feel I must alert you to a growing feeling that the Nobel Prize Committee may have been awarded to some rather ‘non-productive forms of atomic theory’ lately.

The mainstream interpretation of quantum physics has been criticized severely, both by professional as well as amateur physicists (for a very professional critique, see – for example – the latest article by Dr. Consa: https://vixra.org/pdf/2002.0011v1.pdf).

Also, awarding a Nobel Prize because experiments reveal ‘signature signals’ of the hypothesized W/Z bosons, quarks and/or Higgs particles do not confirm these ‘intermediate vector bosons’ or these (virtual and non-virtual) quarks and gluons actually exist. There are also other credible ‘mechanisms’ explaining mass and/or the anomalous magnetic moment (the ring current model of electrons and protons, on which I publish myself (see: https://vixra.org/pdf/2002.0160v1.pdf and https://vixra.org/pdf/2003.0094v1.pdf) is just one example of what I think of as credible alternative explanations).

To many of my colleagues – amateur physicists just like me – it feels like the Nobel Prize Committee has really been in a hurry to ‘consecrate’ the Standard Model asap. If this is to confirm the ‘triumph’ of the mainstream interpretation of physics, then I am afraid the effect is just the opposite.

This is just an opinion, of course – but I just wanted to alert you to it – because the unease with the ‘Standard Model’ seems to be spreading quite rapidly lately and has become very palpable, I would think. In this regard, I refer to books such as Hossenfelder’s ‘Lost in Math?’ and other ‘mainstream researchers challenging other mainstream researchers.’

Kindest regards – Jean Louis

Jean Louis Van Belle

Phone: +32 (0)471 079 892

Skype ID: jean.louis.van.belle

Email: jeanlouisvanbelle@outlook.com

LinkedIn: https://www.linkedin.com/in/jean-louis-van-belle-85b74b7a/

Blog: https://readingfeynman.org/

viXra org: https://vixra.org/author/jean_louis_van_belle

Academia.edu: https://independent.academia.edu/JeanLouisVanBelle

“*None of us is as smart as all of us*.” (Kenneth Blanchard)

UNQUOTE

# Mainstream QM: A Bright Shining Lie

Yesterday night, I got this email from a very bright young physicist: Dr. Oliver Consa. He is someone who – unlike me – does have the required *Dr *and *PhD* credentials in physics (I have a *drs. *title in economics) – and the patience that goes with it – to make some more authoritative statements in the weird world of quantum mechanics. I recommend you click the link in the email (copied below) and read the paper. *Please do it! *

It is just 12 pages, and it is all extremely revealing. Very discomforting, actually, in light of all the other revelations on fake news in other spheres of life.

Many of us – and, here, I just refer to those who are reading my post – all sort of suspected that some ‘inner circle’ in the academic circuit had cooked things up:the *Mystery Wallahs*, as I refer to them now. Dr. Consa’s paper shows our suspicion is well-founded.

QUOTE

Dear fellow scientist,

I send you this mail because you have been skeptical about Foundations of Physics. I think that this new paper will be of your interest. Feel free to share it with your colleagues or publish it on the web. I consider it important that this paper serves to open a public debate on this subject.

**Something is Rotten in the State of QED**

https://vixra.org/pdf/2002.0011v1.pdf

Abstract

*“Quantum electrodynamics (QED) is considered the most accurate theory in the history of science. However, this precision is based on a single experimental value: the anomalous magnetic moment of the electron (g-factor). An examination of QED history reveals that this value was obtained using illegitimate mathematical traps, manipulations and tricks. These traps included the fraud of Kroll & Karplus, who acknowledged that they lied in their presentation of the most relevant calculation in QED history. As we will demonstrate in this paper, the Kroll & Karplus scandal was not a unique event. Instead, the scandal represented the fraudulent manner in which physics has been conducted from the creation of QED through today.” (12 pag.)*

Best Regards,

Oliver Consa

oliver.consa@gmail.com

UNQUOTE

# A theory of matter-particles

**Pre-scriptum (PS)**, added on 6 March 2020: The ideas below also naturally lead to a theory about what a neutrino might actually be. As such, it’s a complete ‘alternative’ Theory of Everything. I uploaded the basics of such theory on my academia.edu site. For those who do not want to log on to academia.edu, you can also find the paper on my author’s page on Phil Gibb’s site.

**Text:**

We were rather tame in our last paper on the oscillator model of an electron. We basically took some philosophical distance from it by stating we should probably only think of it as a *mathematical equivalent *to Hestenes’ concept of the electron as a superconducting loop. However, deep inside, we feel we should *not *be invoking Maxwell’s laws of electrodynamics to explain what a proton and an electron might actually *be*. The basics of the ring current model can be summed up in one simple equation:

*c* = *a*·ω

This is the formula for the tangential velocity. Einstein’s mass-energy equivalence relation and the Planck-Einstein relation explain everything else[1], as evidenced by the fact that we can immediately derive the Compton radius of an electron from these three equations, as shown below:The reader might think we are just ‘casually connecting formulas’ here[2] but we feel we have a full-blown theory of the electron here: simple and consistent. The geometry of the model is visualized below. We think of an electron (and a proton) as consisting of a pointlike elementary charge – pointlike but *not* *dimensionless***[3]** – moving about at (*nearly*) the speed of light around the center of its motion.

The relation works perfectly well for the electron. However, when applying the *a* = *ħ*/m*c* radius formula to a proton, we get a value which is about 1/4 of the *measured *proton radius: about 0.21 fm, as opposed to the 0.83-0.84 fm charge radius which was established by Professors Pohl, Gasparan and others over the past decade.[4] In our papers on the proton radius[5], we motivated the 1/4 factor by referring to the energy equipartition theorem and assuming energy is, somehow, equally split over electromagnetic field energy and the kinetic energy in the motion of the *zbw *charge. However, the reader must have had the same feeling as we had: these assumptions are rather *ad hoc*. We, therefore, propose something more radical:

When considering systems (e.g. electron orbitals) and excited states of particles, angular momentum comes in units (nearly) equal to *ħ*, but when considering the internal structure of elementary particles, (orbital) angular momentum comes in an integer fraction of ħ. This fraction is 1/2 for the electron[6] and 1/4 for the proton.

Let us write this out for the proton radius:What are the implications for the assumed centripetal force keeping the elementary charge in motion? The centripetal acceleration is equal to *a*_{c} = *v*_{t}^{2}/*a* = *a*·ω^{2}. It is probably useful to remind ourselves how we get this result so as to make sure our calculations are relativistically correct. The position vector ** r** (which describes the position of the

*zbw*charge) has a horizontal and a vertical component:

*x*=

*a*·cos(ωt) and

*y*=

*a*·sin(ωt). We can now calculate the two components of the (tangential) velocity vector

**= d**

*v***/dt as**

*r**v*

_{x}= –

*a*·ω·sin(ωt) and

*v*

_{y}

*y*= –

*a*· ω·cos(ωt) and, in the next step, the components of the (centripetal) acceleration vector

**:**

*a*_{c}*a*

_{x}= –

*a*·ω

^{2}·cos(ωt) and

*a*

_{y}= –

*a*·ω

^{2}·sin(ωt). The magnitude of this vector is then calculated as follows:

*a*_{c}^{2} = *a _{x}*

^{2}+

*a*

_{y}^{2}=

*a*

^{2}·ω

^{4}·cos

^{2}(ωt) +

*a*

^{2}·ω

^{4}·sin

^{2}(ωt) =

*a*

^{2}·ω

^{4}⇔

*a*

_{c}=

*a*·ω

^{2}=

*v*

_{t}

^{2}/

*a*

Now, Newton’s force law tells us that the magnitude of the centripetal force will be equal to:

F = m_{γ}·*a*_{c} = m_{γ}·*a*·ω^{2}

As usual, the m_{γ} factor is, once again, the *effective mass *of the *zbw *charge as it *zitters *around the center of its motion at (nearly) the speed of light: it is *half *the electron mass.[7] If we denote the centripetal force inside the electron as F_{e}, we can relate it to the electron mass m_{e} as follows:Assuming our logic in regard to the *effective *mass of the *zbw *charge inside a proton is also valid – and using the 4E = *ħ*ω and *a *= ħ/4m*c* relations – we get the following equation for the centripetal force inside of a proton:

How should we think of this? In our oscillator model, we think of the centripetal force as a restoring force. This force depends linearly on the displacement from the center and the (linear) proportionality constant is usually written as k. Hence, we can write F_{e} and F_{p} as F_{e} = -k_{e}*x* and F_{p} = -k_{p}*x* respectively. Taking the ratio of both so as to have an idea of the respective strength of both forces, we get this:

The ** a_{p}** and

**are acceleration vectors – not the radius. The equation above seems to tell us that the centripetal force inside of a proton gives the**

*a*_{e}*zbw*charge inside – which is nothing but the elementary charge, of course – an acceleration that is

*four*times that of what might be going on inside the electron.

Nice, but how meaningful are these relations, really? If we would be thinking of the centripetal or restoring force as modeling some *elasticity *of spacetime – the *guts *intuition behind far more complicated string theories of matter – then we may think of distinguishing between a *fundamental *frequency and higher-level harmonics or overtones.[8] We will leave our reflections at that for the time being.

We should add one more note, however. We only talked about the electron and the proton here. What about other particles, such as neutrons or mesons? We do *not *consider these to be elementary because they are not stable: we think they are not stable because the Planck-Einstein relation is slightly *off*, which causes them to disintegrate into what we’ve been trying to model here: stable stuff. As for the process of their disintegration, we think the approach that was taken by Gell-Man and others[9] is not productive: inventing new quantities that are supposedly being conserved – such as strangeness – is… Well… As strange as it sounds. We, therefore, think the concept of quarks confuses rather than illuminates the search for a truthful theory of matter.

Jean Louis Van Belle, 6 March 2020

[1] In this paper, we make abstraction of the anomaly, which is related to the *zbw *charge having a (tiny) spatial dimension.

[2] We had a signed contract with the IOP and WSP scientific publishing houses for our manuscript on a realist interpretation of quantum mechanics (https://vixra.org/abs/1901.0105) which was shot down by this simple comment. We have basically stopped tried convincing mainstream academics from that point onwards.

[3] See footnote 1.

[4] See our paper on the proton radius (https://vixra.org/abs/2002.0160).

[5] See reference above.

[6] The reader may wonder why we did not present the ½ fraction is the first set of equations (calculation of the electron radius). We refer him or her to our previous paper on the effective mass of the *zbw *charge (https://vixra.org/abs/2003.0094). The 1/2 factor appears when considering *orbital *angular momentum only.

[7] The reader may not be familiar with the concept of the effective mass of an electron but it pops up very naturally in the quantum-mechanical analysis of the linear motion of electrons. Feynman, for example, gets the equation out of a quantum-mechanical analysis of how an electron could move along a line of atoms in a crystal lattice. See: Feynman’s *Lectures*, Vol. III, Chapter 16: *The Dependence of Amplitudes on Position *(https://www.feynmanlectures.caltech.edu/III_16.html). We think of the effective mass of the electron as the relativistic mass of the *zbw *charge as it whizzes about at nearly the speed of light. The rest mass of the *zbw *charge itself is close to – but also not quite equal to – zero. Indeed, based on the measured anomalous magnetic moment, we calculated the *rest *mass of the *zbw *charge as being equal to about 3.4% of the electron rest mass (https://vixra.org/abs/2002.0315).

[8] For a basic introduction, see my blog posts on *modes *or on music and physics (e.g. https://readingfeynman.org/2015/08/08/modes-and-music/).

[9] See, for example, the analysis of kaons (K-mesons) in Feynman’s *Lectures*, Vol. III, Chapter 11, section 5 (https://www.feynmanlectures.caltech.edu/III_11.html#Ch11-S5).

# Mr. Feynman and boson-fermion theory

I’ve been looking at chapter 4 of Feynman’s *Lectures* on Quantum Mechanics (the chapter on identical particles) for at least a dozen times now—probably more. This and the following chapters spell out the mathematical framework and foundations of mainstream quantum mechanics: the grand distinction between fermions and bosons, symmetric and asymmetric wavefunctions, Bose-Einstein versus Maxwell-Boltzmann statistics, and whatever else comes out of that—including the weird idea that (force) fields should also come in lumps (think of quantum field theory here). These ‘field lumps’ are then thought of as ‘virtual’ particles that, somehow, ‘mediate’ the force.

The idea that (kinetic and/or potential) *energy* and (linear and/or angular) *momentum* are being continually transferred – somehow, and all over space – by these ‘messenger’ particles sounds like medieval philosophy to me. However, to be fair, Feynman does actually *not *present these more advanced medieval ideas in his *Lectures on Quantum Physics*. I have always found that somewhat strange: he was about to receive a Nobel Prize for his path integral formulation of quantum mechanics and other contributions to what has now become the mainstream interpretation of quantum mechanics, so why wouldn’t he talk about it to his students, for which he wrote these lectures? In contrast, he does include a preview of Gell-Mann’s quark theory, although he does say – in a footnote – that “the material of this section is longer and harder than is appropriate at this point” and he, therefore, suggests to skip it and move to the next chapter.

[As for the path integral formulation of QM, I would think the mere fact that we have three alternative formulations of QM (matrix, wave-mechanical and path integral) would be sufficient there’s something wrong with these theories: reality is *one*, so we should have one *unique* (mathematical) description of it).]

Any case. I am probably doing too much *Hineininterpretierung *here. Let us return to the basic stuff that Feynman wanted his students to accept as a truthful description of reality: *two kinds of statistics*. Two different ways of interaction. Two kinds of particles. That’s what post-WW II gurus such as Feynman – all very much inspired by the ‘Club of Copenhagen’—aka known as the ‘Solvay Conference Club‘ – want us to believe: interactions with ‘Bose particles’ – this is the term Feynman uses in this text of 1963 – involve adding amplitudes with a + (plus) sign. In contrast, interactions between ‘Fermi particles’ involve a minus (−) sign when ‘adding’ the amplitudes.

The confusion starts early on: Feynman makes it clear he actually talks about the amplitude for an *event *to happen or not. Two possibilities are there: two ‘identical’ particles either get ‘swapped’ after the collision or, else, they don’t. However, in the next sections of this chapter – where he ‘proves’ or ‘explains’ the principle of Bose condensation for bosons and then the Pauli exclusion principle for fermions – it is very clear the amplitudes are actually associated with the particles themselves.

So his argument starts rather messily—conceptually, that is. Feynman also conveniently skips the most basic ontological or epistemological question here: how would a particle ‘*know*‘ how to choose between this or that kind of statistics? In other words, how does it know it should pick the plus or the minus sign when combining its amplitude with the amplitude of the other particle? It makes one think of Feynman’s story of the Martian in his *Lecture* on symmetries in Nature: what handshake are we going to do here? Left or right? And who sticks out his hand first? The Martian or the Earthian? A diplomat would ask: who has precedence when the two particles meet?

The question also relates to the nature of the wavefunction: if it doesn’t describe anything *real*, then where is it? In our mind only? But if it’s in our mind only, how comes we get real-life probabilities out of them, and real-life energy levels, or real-life momenta, etcetera? The core question (physical, epistemological, philosophical, esoterical or whatever you’d want to label it) is this: *what’s the connection between these concepts and whatever it is that we are trying to describe? *The only answer mainstream physicists can provide here is blabber. That’s why the mainstream interpretation of physics may be acceptable to physicists, but not to the general public. That’s why the debate continues to rage: no one believes the Standard Model. Full stop. The intuition of the masses here is very basic and, therefore, probably correct: if you cannot explain something in clear and unambiguous terms, then you probably do not understand it.

Hence, I suspect mainstream academic physicists probably do not understand whatever it is they are talking about. Feynman, by the way, admitted as much when writing – in the very first lines of the introduction to his *Lectures on Quantum Mechanics *– that “even the experts do not understand it the way they would like to.”

I am actually appalled by all of this. Worse, I am close to even stop talking or writing about it. I only kept going because a handful of readers send me a message of sympathy from time to time. I then feel I am actually *not *alone in what often feels like a lonely search in what a friend of mine refers to as ‘a basic version of truth.’ I realize I am getting a bit emotional here – or should I say: upset? – so let us get back to Feynman’s argument again.

Feynman starts by introducing the idea of a ‘particle’—a concept he does *not* define – not at all, really – but, as the story unfolds, we understand this concept somehow combines the idea of a boson *and* a fermion. He doesn’t motivate why he feels like he should lump photons and electrons together in some more general category, which he labels as ‘particles’. Personally, I really do *not* see the need to do that: I am fine with thinking of a photon as an electromagnetic oscillation (a traveling *field*, that is), and of electrons, protons, neutrons and whatever *composite *particle out there that is some combination of the latter as matter-particles. Matter-particles carry charge: electric charge and – who knows – perhaps some strong charge too. Photons don’t. So they’re different. Full stop. Why do we want to label everything out there as a ‘particle’?

Indeed, when everything is said and done, there is no definition of fermions and bosons beyond this magical spin-1/2 and spin-1 property. That property is something we can*not* measure: we can only measure the magnetic moment of a particle: any assumption on their angular momentum assumes you know the mass (or energy) distribution of the particle. To put it more plainly: do you think of a particle as a sphere, a disk, or what? Mainstream physicists will tell you that you shouldn’t think that way: particles are just pointlike. They have no dimension whatsoever – in their mathematical models, that is – because all what experimentalists is measuring scattering or charge radii, and these show the assumption of an electron or a proton being pointlike is plain nonsensical.

Needless to say, besides the perfect scattering angle, Feynman also assumes his ‘particles’ have no spatial dimension whatsoever: he’s just thinking in terms of mathematical lines and points—in terms of *mathematical limits*, not in terms of the *physicality *of the situation.

Hence, Feynman just buries us under a bunch of tautologies here: weird words are used interchangeably without explaining what they actually mean. In everyday language and conversation, we’d think of that as ‘babble’. The only difference between physicists and us commoners is that physicists babble using mathematical language.

[…]

I am digressing again. Let us get back to Feynman’s argument. So he tells us we should just accept this theoretical ‘particle’, which he doesn’t define: he just thinks about two of these discrete ‘things’ going into some ‘exchange’ or ‘interaction’ and then coming out of it and going into one of the two detectors. The question he seeks to answer is this: can we still distinguish what is what after the ‘interaction’?

The level of abstraction here is mind-boggling. Sadly, it is actually worse than that: it is also completely *random*. Indeed, the only property of this mystical ‘particle’ in this equally mystical thought experiment of Mr. Feynman is that it scatters elastically with some other particle. However, that ‘other’ particle is ‘of the same kind’—so it also has no other property than that it scatters equally elastically from the first particle. Hence, I would think the question of whether the two particles are identical or not is philosophically empty.

To be rude, I actually wonder *what Mr. Feynman is actually talking about here. *Every other line in the argument triggers another question. One should also note, for example, that this elastic scattering happens in a perfect angle: the whole argument of adding or subtracting amplitudes effectively depends on the idea of a perfectly measurable angle here. *So where is the Uncertainty Principle here, Mr. Feynman?* It all makes me think that Mr. Feynman’s seminal lecture may well be the perfect example of what Prof. Dr. John P. Ralston wrote about his own profession:

“Quantum mechanics is the only subject in physics where teachers traditionally present haywire axioms they don’t really believe, and regularly violate in research.” (1)

Let us continue exposing Mr. Feynman’s argument. After this introduction of this ‘particle’ and the set-up with the detectors and other preconditions, we then get two or three paragraphs of weird abstract reasoning. Please don’t get me wrong: I am *not *saying the reasoning is difficult (it is *not*, actually): it is just weird and abstract because it uses complex number logic. Hence, Feynman implicitly requests the reader to believe that complex numbers adequately describes whatever it is that he is thinking of (I hope – but I am not so sure – he was trying to describe reality). In fact, this is the one point I’d agree with him: I do believe Euler’s function adequately describes the reality of both photons and electrons (see our photon and electron models), but then I also think +*i* and −*i* are two very different things. Feynman doesn’t, clearly.

It is, in fact, very hard to challenge Feynman’s weird abstract reasoning here because it all appears to be mathematically consistent—and it is, up to the point of the tricky physical meaning of the imaginary unit: Feynman conveniently forgets the imaginary unit represents a rotation of 180 degrees and that we, therefore, need to distinguish between these two directions so as to include the idea of spin. However, that is *my *interpretation of the wavefunction, of course, and I cannot use it against Mr. Feynman’s interpretation because his and mine are equally subjective. One can, therefore, only credibly challenge Mr. Feynman’s argument by pointing out what I am trying to point out here: the basic concepts don’t make any sense—*none at all! *

Indeed, if I were a student of Mr. Feynman, I would have asked him questions like this:

“Mr. Feynman, I understand your thought experiment applies to electrons as well as to photons. In fact, the argument is all about the *difference* between these two very different ‘types’ of ‘particles’. Can you please tell us how you’d imagine two photons scattering off each other elastically? Photons just pile on top of each other, don’t they? In fact, that’s what you prove next. So they don’t scatter off each other, do they? Your thought experiment, therefore, seems to apply to fermions only. Hence, it would seem we should not use it to derive properties for bosons, isn’t it?”

“Mr. Feynman, how should an electron (a fermion – so you say we should ‘add’ amplitudes using a minus sign) ‘think’ about what sign to use for interaction when a photon is going to hit it? A photon is a boson – so its sign for exchange is positive – so should we have an ‘exchange’ or ‘interaction’ with the plus or the minus sign then? More generally, who takes the ‘decisions’ here? Do we expect God – or Maxwell’s demon – to be involved in every single quantum-mechanical event?”

Of course, Mr. Feynman might have had trouble answering the first question, but he’d probably would not hesitate to produce some kind of rubbish answer to the second: “*Mr. Van Belle, we are thinking of identical particles here. Particles of the same kind, if you understand what I mean*.”

Of course, I obviously don’t understand what he means but so I can’t tell him that. So I’d just ask the next logical question to try to corner him:

“Of course, Mr. Feynman. Identical particles. Yes. So, when thinking of fermion-on-fermion scattering, what *mechanism* do you have in mind? At the very least, we should be mindful of the difference between Compton versus Thomson scattering, shouldn’t we? How does your ‘elastic’ scattering relate to these two very different types of scattering? What is your theoretical interaction *mechanism* here?”

I can actually think of some more questions, but I’ll leave it at this. Well… No… Let me add another one:

“Mr. Feynman, this theory of interaction between ‘identical’ or ‘like’ particles (fermions and bosons) looks great but, in reality, we will also have non-identical particles interacting with each other—or, more generally speaking, particles that are not ‘of the same kind’. To be very specific, reality sees many electrons and many photons interacting with each other—not just once, at the occasion of some elastic collision, but *all of the time*, really. So could we, perhaps, generalize this to some kind of ‘three- or n-particle problem’?”

This sounds like a *very *weird question, which even Mr. Feynman might not immediately understand. So, if he didn’t shut me up already, he may have asked me to elaborate: “*What do you mean, Mr. Van Belle? What kind of three- or n-particle problem are you talking about?*” I guess I’d say something like this:

“Well… Already in classical physics, we do not have an analytical solution for the ‘three-body problem’, but at least we have the equations. So we have the underlying *mechanism*. What are the equations here? I don’t see any. Let us suppose we have three particles colliding or scattering or interacting or whatever it is we are trying to think of. How does any of the three particles know what the other two particles are going to be: a boson or a fermion? And what sign should they then use for the interaction? In fact, I understand you are talking amplitudes of *events *here. If three particles collide, how many events do you count: one, two, three, or six?”

One, two, three or six? Yes. Do we think of the interaction between three particles as one event, or do we split it up as a triangular thing? Or is it one particle interacting, somehow, with the two other, in which case we’re having two events, taking into account this weird plus or minus sign rule for interaction.

Crazy? Yes. Of course. But the questions are logical, aren’t they? I can think of some more. Here is one that, in my not-so-humble view, shows how empty these discussions on the theoretical properties of theoretical bosons and theoretical fermions actually are:

“Mr. Feynman, you say a photon is a boson—a spin-one particle, so its spin state is either 1, 0 or −1. How comes photons – the only boson that we actually *know* to exist from real-life experiments – do *not *have a spin-zero state? Their spin is always up or down. It’s never zero. So why are we actually even talking about spin-one particles, *if the only boson we know – the photon – does not behave like it should behave according to your boson-fermion theory?*” (2)

Am I joking? I am not. I like to think I am just asking very reasonable questions here—even if all of this may sound like a bit of a rant. In fact, it probably is, but so that’s why I am writing this up in a blog rather than in a paper. Let’s continue.

The subsequent chapters are about the magical spin-1/2 and spin-1 properties of fermions and bosons respectively. I call them magical, because – as mentioned above – all we can measure is the magnetic moment. Any assumption that the *angular momentum* of a particle – a ‘boson’ or a ‘fermion’, whatever it is – is ±1 or ±1/2, assumes we have knowledge of some *form factor, *which is determined by the *shape *of that particle and which tells us how the mass (or the energy) of a particle is distributed in space.

Again, that may sound sacrilegious: according to mainstream physicists, particles are supposed to be pointlike—which they interpret as having *no spatial dimension whatsoever*. However, as I mentioned above, that sounds like a very obvious oxymoron *to me*.

Of course, I know I would never have gotten my degree. When I did the online MIT course, the assistants of Prof. Dr. Zwieback also told me I asked too many questions: I should just “shut up and calculate.” You may think I’m joking again but, no: that’s the feedback I got. Needless to say, I went through the course and did all of the stupid exercises, but I didn’t bother doing the exams. I don’t mind calculating. I do a lot of calculations as a finance consultant. However, I do mind mindless calculations. Things need to make sense to me. So, yes, I will always be an ‘amateur physicist’ and a ‘blogger’—read: someone whom you shouldn’t take very seriously. I just hope my jokes are better than Feynman’s.

I’ve actually been thinking that getting a proper advanced degree in physics might impede understanding, so it’s good I don’t have one. I feel these mainstream courses do try to ‘brainwash’ you. They do *not *encourage you to challenge received wisdom. On the contrary, it all very much resembles *rote learning*: memorization based on repetition. Indeed, more modern textbooks – I looked at the one of my son, for example – immediately dive into the hocus-pocus—totally shamelessly. They literally start by saying you should not try to understand and that you just get through the math and accept the quantum-mechanical dogmas and axioms! Despite the appalling logic in the introductory chapters, Mr. Feynman, in contrast, at least has the decency to *try *to come up with some classical arguments here and there (although he also constantly adds that the student should just accept the hocus-pocus approach and the quantum-mechanical dogmas and not think too much about what it might or might not represent).

My son got high marks on his quantum mechanics exam: a 19/20, to be precise, and so I am really proud of him—and I also feel our short discussions on this or that may have helped him to get through it. Fortunately, he was doing it as part of getting a civil engineering degree (Bachelor’s level), and he was (also) relieved he would never have to study the subject-matter again. Indeed, we had a few discussions and, while he (also) thinks I am a bit of a crackpot theorist, he does agree “the math must describe something real” and that “therefore, something doesn’t feel right in all of that math.” I told him that I’ve got this funny feeling that, 10 or 20 years from now, 75% (more?) of post-WW II research in quantum physics – most of the *theoretical *research, at least (3) – may be dismissed as some kind of collective psychosis or, worse, as ‘a bright shining lie’ (title of a book I warmly recommend – albeit on an entirely different topic). Frankly, I think many academics completely forgot Boltzmann’s motto for the physicist:

“Bring forward what is true. Write it so that it is clear. Defend it to your last breath.”

[…]

OK, you’ll say: get real! So what *is *the difference between bosons and fermions, then? I told you already: I think it’s a useless distinction. Worse, I think it’s not only useless but it’s also untruthful. It has, therefore, *hampered* rather than promoted creative thinking. I distinguish matter-particles – electrons, protons, neutrons – from photons (and neutrinos). Matter-particles carry charge. Photons (and neutrinos) do not. (4) Needless to say, I obviously don’t believe in ‘messenger particles’ and/or ‘Higgs’ or other ‘mechanisms’ (such as the ‘weak force’ mechanism). That sounds too much like believing in God or some other non-scientific concept. [I don’t mind you believing in God or some other non-scientific concept – I actually do myself – but we should not confuse it with doing physics.]

And as for the question on what would be *my* theory of interaction? It’s just the classical theory: charges attract or repel, and one can add electromagnetic fields—all in respect of the Planck-Einstein law, of course. Charges have some dimension (and some mass), so they can’t take up the same space. And electrons, protons and neutrons have some *structure*, and physicists should focus on modeling those structures, so as to explain the so-called intrinsic properties of these matter-particles. As for photons, I think of them as an oscillating electromagnetic field (respecting the Planck-Einstein law, of course), and so we can simply add them. What causes them to lump together? Not sure: the Planck-Einstein law (being in some joint excited state, in other words) or gravity, perhaps. In any case: I am confident it is something real—i.e. *not* Feynman’s weird addition or subtraction rules for amplitudes.

However, this is not the place to re-summarize all of my papers. I’d just sum them up by saying this: not many physicists seem to understand Planck’s constant or, what amounts to the same, the concept of an elementary cycle. And their unwillingness to even *think *about the possible structure of photons, electrons and protons is… Well… I’d call it criminal.

[…]

I will now conclude my rant with another down-to-earth question: would I recommend reading Feynman’s *Lectures*? Or recommend youngsters to take up physics as a study subject?

My answer in regard to the first question is ambiguous: yes, and no. When you’d push me on this, I’d say: more yes than no. I do believe Feynman’s *Lectures* are much better than the modern-day textbook that was imposed on my son during his engineering studies and so, yes, I do recommend the older textbooks. But *please be critical as you go through them*: do ask yourself the same kind of questions that I’ve been asking myself while building up this blog: **think for yourself. Don’t go by ‘authority’.** Why not? Because the possibility that a lot of what labels itself as science may be nonsensical. As nonsensical as… Well… All what goes on in national and international politics for the moment, I guess. 🙂

In regard to the second question – should youngsters be encouraged to study physics? – I’d say what my father told me when I was hesitating to pick a subject for study: “Do what earns respect and feeds your family. You can do philosophy and other theoretical things on the side.”

With the benefit of hindsight, I can say he was right. I’ve done the stuff I wanted to do—on the side, indeed. So I told my son to go for engineering – rather than pure math or pure physics. 🙂 And he’s doing great, fortunately !

Jean Louis Van Belle

**Notes:**

(1) Dr. Ralston’s *How To Understand Quantum Mechanics *is fun for the first 10 pages or so, but I would not recommend it. We exchanged some messages, but then concluded that our respective interpretations of quantum mechanics are very different (I feel he replaces hocus-pocus by other hocus-pocus) and, hence, that we should not “waste any electrons” (his expression) on trying to convince each other.

(2) It is really one of the most ridiculous things ever. Feynman spends several chapters on explaining spin-one particles to, then, in some obscure footnote, suddenly write this: “The photon is a spin-one particle which has, however, no “zero” state.” From all of his jokes, I think this is his worst. It just shows how ‘rotten’ or ‘random’ the whole conceptual framework of mainstream QM really is. There is, in fact, another glaring inconsistency in Feynman’s *Lectures*: in the first three chapters of Volume III, he talks about adding wavefunctions and the basic rules of quantum mechanics, and it all happens with a plus sign. In this chapter, he suddenly says the amplitudes of fermions combine with a minus sign. If you happen to know a physicist who can babble his way of out this inconsistency, please let me know.

(3) There are exceptions, of course. I mentioned very exciting research in various posts, but most of it is *non*-mainstream. The group around Herman Batalaan at the University of Nebraska and various ‘electron modellers’ are just one of the many examples. I contacted a number of these ‘particle modellers’. They’re all happy I show interest, but puzzled themselves as to why their research doesn’t get all that much attention. If it’s a ‘historical accident’ in mankind’s progress towards truth, then it’s a sad one.

(4) We believe a neutron is neutral because it has both positive and negative charge in it (see our paper on protons and neutrons). as for neutrinos, we have no idea what they are, but our wild guess is that they may be the ‘photons’ of the strong force: if a photon is nothing but an oscillating electromagnetic field traveling in space, then a neutrino might be an oscillating strong field traveling in space, right? To me, it sounds like a reasonable hypothesis, but who am I, right? 🙂 If I’d have to define myself, it would be as one of Feynman’s ideal students: someone who thinks for himself. In fact, perhaps I would have been able to entertain him as much as he entertained me— and so, who knows, I like to think he might actually have given me some kind of degree for joking too ! 🙂

(5) There is no (5) in the text of my blog post, but I just thought I would add one extra note here. 🙂 Herman Batelaan and some other physicists wrote a *Letter *to the Physical Review Journal back in 1997. I like Batelaan’s research group because – unlike what you might think – most of Feynman’s thought experiments have actually never been done. So Batelaan – and some others – actually *did* the double-slit experiment with electrons, and they are doing very interesting follow-on research on it.

However, let me come to the point I want to mention here. When I read these lines in that very serious *Letter*, I didn’t know whether to laugh or to cry:

“Bohr’s assertion (on the impossibility of doing a Stern-Gerlach experiment on electrons or charged particles in general) is thus based on taking the classical limit for *ħ* going to 0. For this limit not only the blurring, but also the Stern-Gerlach splitting vanishes. However, Dehmelt argues that *ħ* is a nonzero constant of nature.”

I mean… What do you make of this? ** Of course, ħ is a nonzero constant, right? **If it was zero, the Planck-Einstein relation wouldn’t make any sense, would it? What world were Bohr, Heisenberg, Pauli and others living in? A different one than ours, I guess. But that’s OK. What is

*not*OK, is that these guys were ignoring some very basic physical laws and just dreamt up – I am paraphrasing Ralston here –

**“haywire axioms they did not really believe in, and regularly violated themselves.”**And they didn’t know how to

*physically*interpret the Planck-Einstein relation and/or the mass-energy equivalence relation. Sabine Hossenfelder would say they were completely lost in math. 🙂

# The Mystery Wallahs

I’ve been working across Asia – mainly South Asia – for over 25 years now. You will google the exact meaning but my definition of a *wallah *is a someone who deals in something: it may be a street vendor, or a handyman, or anyone who brings something new. I remember I was one of the first to bring modern mountain bikes to India, and they called me a *gear wallah*—because they were absolute fascinated with the number of gears I had. [Mountain bikes are now back to a 2 by 10 or even a 1 by 11 set-up, but I still like those three *plateaux *in front on my older bikes—and, yes, my collection is becoming way too large but I just can’t do away with it.]

Any case, let me explain the title of this post. I stumbled on the work of the research group around Herman Batelaan in Nebraska. *Absolutely fascinating !* Not only did they actually do the electron double-slit experiment, but their ideas on an actual Stern-Gerlach experiment with electrons are quite interesting: https://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1031&context=physicsgay

I also want to look at their calculations on momentum exchange between electrons in a beam: https://iopscience.iop.org/article/10.1088/1742-6596/701/1/012007.

Outright fascinating. Brilliant ! […]

It just makes me wonder: why is the outcome of this 100-year old battle between mainstream hocus-pocus and real physics so undecided?

I’ve come to think of mainstream physicists as peddlers in mysteries—whence the title of my post. It’s a tough conclusion. Physics is supposed to be the King of Science, right? Hence, we shouldn’t doubt it. At the same time, it is kinda comforting to know the battle between truth and lies rages everywhere—including inside of the King of Science.

JL

# The proton radius puzzle solved

I thought I’d stop blogging, but I can’t help it: I think you’d find this topic interesting – and my comments are actually too short for a paper or article, so I thought it would be good to throw it out here.

If you follow the weird world of quantum mechanics with some interest, you will have heard the latest news: the ‘puzzle’ of the charge radius of the proton has been solved. To be precise, a more precise electron-proton scattering experiment by the PRad (proton radius) team using the Continuous Electron Beam Accelerator Facility (CEBAF) at Jefferson Lab has now measured the *root mean square *(rms) charge radius of the proton as[1]:

*r*_{p} = 0.831 ± 0.007_{stat} ± 0.012_{syst} fm

If a proton would, somehow, have a pointlike elementary (electric) charge in it, and if it it is in some kind of circular motion (as we presume in *Zitterbewegung *models of elementary particles), then we can establish a simple relation between the magnetic moment (μ) and the radius (*a*) of the circular current.

Indeed, the magnetic moment is the current (I) times the surface area of the loop (π*a*^{2}), and the current is just the product of the elementary charge (q_{e}) and the frequency (*f*), which we can calculate as *f *= *c*/2π*a*, i.e. the velocity of the charge[2] divided by the circumference of the loop. We write:Using the Compton radius of an electron (*a*_{e} = ħ/m_{e}*c*), this yields the correct magnetic moment for the electron[3]:What radius do we get when applying the *a *= μ/0.24…´10^{–10} relation to the (experimentally measured) magnetic moment of a proton? I invite the reader to verify the next calculation using CODATA values:When I first calculated this, I thought: that’s not good enough. I only have the *order of magnitude *right. However, when multiplying this with √2, we get a value which fits into the 0.831 ± 0.007 interval. To be precise, we get this:

Of course, you will wonder: how can we justify the √2 factor? I am not sure. It is a *charge *radius. Hence, the electrons will bounce off because of the electromagnetic fields. The magnetic field of the current ring will be some envelope to the current ring itself. We would, therefore, expect the measured charge radius to be larger than the radius of the current ring (*a*). There are also the intricacies related to the definition of a *root mean square* (rms) radius.

I feel this can*not *be a coincidence: the difference between our ‘theoretical’ value (0.83065 fm) and the last precision measurement (0.831 fm) is only 0.00035 fm, which is only 5% of the statistical standard deviation (0.007 fm). Proton radius solved?

Maybe. Maybe not. The concluding comments of *Physics Today *were this: “The PRad radius result, about 0.83 fm, agrees with the smaller value from muonic and now electronic hydrogen spectroscopy measurements. With that, it seems the puzzle is resolved, and the discrepancy was likely due to measurement errors. *Unfortunately, the conclusion requires no new physics*.” (my italics)

I wonder what kind of new physics they are talking about.

Jean Louis Van Belle, 24 January 2020

PS: I did make a paper out of this (see my academia.edu or viXra.org publications), and I shared it with the PRad team at JLAB. Prof. Dr. Ashot Gasparian was kind enough to acknowledge my email and thought “the approach and numbers are interesting.” Let us see what comes out of it. I need to get back to my day job. 🙂

[1] See: https://www.nature.com/articles/s41586-019-1721-2. See also: https://www.jlab.org/prad/collaboration.html and https://www.jlab.org/experiment-research.

[2] *Zitterbewegung *models assume an electron consists of a pointlike charge whizzing around some center. The *rest *mass of the pointlike charge is zero, which is why its velocity is equal to the speed of light. However, because of its motion, it acquires an *effective *mass – pretty much like a photon, which has mass because of its motion. One can show the effective mass of the pointlike charge – which is a relativistic mass concept – is half the rest mass of the electron: m_{γ} = m_{e}/2.

[3] The calculations do away with the niceties of the + or – sign conventions as they focus on the *values *only. We also invite the reader to add the SI units so as to make sure all equations are consistent from a *dimensional *point of view. For the values themselves, see the CODATA values on the NIST website (https://physics.nist.gov/cuu/Constants/index.html).

# Signing off…

For my followers, I should note I’ve published a few more papers on viXra.org as well as on the academia.edu site. My thoughts and reflections need a bit more space than a blog post now! Enjoy! Kindest regards, Jean Louis Van Belle

# The End of Physics

A young researcher, Oliver Consa, managed to solve a complicated integral: he gave us an *accurate *calculation of the anomalous magnetic moment based on a (semi-)classical model. Here is the link to his paper, and this is the link to my first-order approach. I admit: he was first. Truth doesn’t need an author. 🙂

This is a great achievement. We now have an electron model that explains all of the mysterious ‘intrinsic’ properties of the electron. It also explains the interference of an electron with itself. Most importantly, the so-called ‘precision test of QED’ (the theoretical and experimental value of the anomalous magnetic moment) also gets a ‘common-sense’ interpretation now. *Bye-bye QFT!*

So now it’s time for the next step(s). If you have followed this blog, then you know I have a decent photon model too – and other researchers – most are small names but there are one or two big names as well 🙂 – are working to refine it.

The End of Physics is near. Mankind knows everything now. Sadly, this doesn’t solve any of the major issues mankind is struggling with (think of inequality and climate change here).

**Post scriptum**: When you check the references, it would seem that Consa borrowed a lot of material from the 1990 article he mentions as a reference: David L. Bergman and J. Paul Wesley, *Spinning Charged Ring Model of Electron Yielding Anomalous Magnetic Moment*, Galilean Electrodynamics, Vol. 1, Sept-Oct 1990, pp. 63–67). It is strange that David Hestenes hadn’t noted this article, because it goes back to the same era during which he tried to launch the *Zitterbewegung *interpretation of quantum physics ! I really find it very bizarre to see how all these elements for a realist interpretation of quantum physics have been lying around for many decades now. I guess it’s got to do with what Sean Carroll suggested in his 7 Sept 2019 opinion article in the NY Times: mainstream physicists do not *want *to understand quantum mechanics.

# Wikipedia censorship

I started to edit and add to the rather useless Wikipedia article on the Zitterbewegung. No mention of Hestenes or more recent electron models (e.g. Burinskii’s Kerr-Newman geometries. No mention that the model only works for electrons or leptons in general – not for non-leptonic fermions. It’s plain useless. But all the edits/changes/additions were erased by some self-appointed ‘censor’. I protested but then I got reported to the administrator ! What can I say? Don’t trust Wikipedia. Don’t trust any ‘authority’. We live in weird times. The mindset of most professional physicists seems to be governed by ego and the Bohr-Heisenberg *Diktatur*.

For the record, these are the changes and edits I tried to make. You can compare and judge for yourself. Needless to say, I told them I wouldn’t bother to even try to contribute any more. I published my own article on the Vixrapedia e-encyclopedia. Also, as Vixrapedia did not have an entry on realist interpretations of quantum mechanics, I created one: have a look and let me know what you think. 🙂

**Zitterbewegung** (“trembling” or “shaking” motion in German) – usually abbreviated as *zbw* – is a hypothetical rapid oscillatory motion of elementary particles that obey relativistic wave equations. The existence of such motion was first proposed by Erwin Schrödinger in 1930 as a result of his analysis of the wave packet solutions of the Dirac equation for relativistic electrons in free space, in which an interference between positive and negative energy states produces what appears to be a fluctuation (up to the speed of light) of the position of an electron around the median, with an angular frequency of ω = 2m*c*^{2}/*ħ*, or approximately 1.5527×10^{21} radians per second. Paul Dirac was initially intrigued by it, as evidenced by his rather prominent mention of it in his 1933 Nobel Prize Lecture (it may be usefully mentioned he shared this Nobel Prize with Schrödinger):

“The variables give rise to some rather unexpected phenomena concerning the motion of the electron. These have been fully worked out by Schrödinger. It is found that an electron which seems to us to be moving slowly, must actually have a very high frequency oscillatory motion of small amplitude superposed on the regular motion which appears to us. As a result of this oscillatory motion, the velocity of the electron at any time equals the velocity of light. This is a prediction which cannot be directly verified by experiment, since the frequency of the oscillatory motion is so high and its amplitude is so small. But one must believe in this consequence of the theory, since other consequences of the theory which are inseparably bound up with this one, such as the law of scattering of light by an electron, are confirmed by experiment.”

^{[1]}

In light of Dirac’s later comments on modern quantum theory, it is rather puzzling that he did not pursue the idea of trying to understand charged particles in terms of the motion of a pointlike charge, which is what the Zitterbewegung hypothesis seems to offer. Dirac’s views on non-leptonic fermions – which were then (1950s and 1960s) being analyzed in an effort to explain the ‘particle zoo‘ in terms of decay reactions conserving newly invented or *ad hoc* quantum numbers such as *strangeness*^{[2]} – may be summed up by quoting the last paragraph in the last edition of his *Principles of Quantum Mechanics*:

“Now there are other kinds of interactions, which are revealed in high-energy physics. […] These interactions are not at present sufficiently well understood to be incorporated into

a system of equations of motion.”^{[3]}

Indeed, in light of this stated preference for kinematic models, it is somewhat baffling that Dirac did not follow up on this or any of the other implications of the Zitterbewegung hypothesis, especially because it should be noted that a reexamination of Dirac theory shows that interference between positive and negative energy states is not a necessary ingredient of Zitterbewegung theories.^{[4]} The Zitterbewegung hypothesis also seems to offer interesting *shortcuts* to key results of mainstream quantum theory. For example, one can show that, for the hydrogen atom, the Zitterbewegung produces the Darwin term which plays the role in the fine structure as a small correction of the energy level of the s-orbitals.^{[5]} This is why authors such as Hestenes refers to it as a possible alternative interpretation of mainstream quantum mechanics, which may be an exaggerated claim in light of the fact that the *zbw* hypothesis results from the study of electron behavior only.

Zitterbewegung models have mushroomed^{[6]} and it is, therefore, increasingly difficult to distinguish between them. The key to understanding and distinguishing the various Zitterbewegung models may well be Wheeler‘s ‘mass without mass’ idea, which implies a distinction between the idea of (i) a pointlike electric charge (i.e. the idea of a charge *only*, with zero rest mass) and (ii) the idea of an electron as an elementary particle whose equivalent mass is the energy of the *zbw* oscillation of the pointlike charge.^{[7]} The ‘mass without mass’ concept requires a force to act on a charge – and a *charge* only – to explain why a force changes the state of motion of an object – its momentum **p** = m_{γ}·* v*(with γ referring to the Lorentz factor) – in accordance with the (relativistically correct)

**F**= d

**p**/dt force law.

## Contents

## History

As mentioned above, the *zbw* hypothesis goes back to Schrödinger’s and Dirac’s efforts to try to explain what an electron actually *is*. Unfortunately, both interpreted the electron as a pointlike particle with no ‘internal structure’.David Hestenes is to be credited with reviving the Zitterbewegung hypothesis in the early 1990s. While acknowledging its origin as a (trivial) solution to Dirac’s equation for electrons, Hestenes argues the Zitterbewegung should be related to the intrinsic properties of the electron (charge, spin and magnetic moment). He argues that the Zitterbewegung hypothesis amounts to a physical interpretation of the elementary wavefunction or – more boldly – to a possible physical interpretation of all of quantum mechanics: “Spin and phase [of the wavefunction] are inseparably related — spin is not simply an add-on, but an essential feature of quantum mechanics. […] A standard observable in Dirac theory is the Dirac current, which doubles as a probability current and a charge current. However, this does not account for the magnetic moment of the electron, which many investigators conjecture is due to a circulation of charge. But what is the nature of this circulation? […] Spin and phase must be kinematical features of electron motion. The charge circulation that generates the magnetic moment can then be identified with the Zitterbewegung of Schrödinger “^{[8]} Hestenes’ interpretation amounts to an kinematic model of an electron which can be described in terms of John Wheeler‘s mass without mass concept.^{[9]} The rest mass of the electron is analyzed as the equivalent energy of an orbital motion of a pointlike charge. This pointlike charge has no rest mass and must, therefore, move at the speed of light (which confirms Dirac’s en Schrödinger’s remarks on the nature of the Zitterbewegung). Hestenes summarizes his interpretation as follows: “The electron is nature’s most fundamental superconducting current loop. Electron spin designates the orientation of the loop in space. The electron loop is a superconducting LC circuit. The mass of the electron is the energy in the electron’s electromagnetic field. Half of it is magnetic potential energy and half is kinetic.”^{[10]}

Hestenes‘ articles and papers on the Zitterbewegung discuss the electron only. The interpretation of an electron as a superconducting ring of current (or as a (two-dimensional) oscillator) also works for the muon electron: its theoretical Compton radius *r*_{C} *= ħ*/m_{μ}*c* ≈ 1.87 fm falls within the CODATA confidence interval for the experimentally determined charge radius.^{[11]} Hence, the theory seems to offer a remarkably and intuitive model of leptons. However, the model cannot be generalized to non-leptonic fermions (spin-1/2 particles). Its application to protons or neutrons, for example, is problematic: when inserting the energy of a proton or a neutron into the formula for the Compton radius (the *r*_{C} *= ħ*/m*c* formula follows from the kinematic model), we get a radius of the order of *r*_{C} *= ħ*/m_{p}*c* ≈ 0.21 fm, which is about 1/4 of the measured value (0.84184(67) fm to 0.897(18) fm). A radius of the order of 0.2 fm is also inconsistent with the presumed radius of the pointlike charge itself. Indeed, while the pointlike charge is supposed to be pointlike, pointlike needs to be interpreted as ‘having no internal structure’: it does *not* imply the pointlike charge has no (small) radius itself. The classical electron radius is a likely candidate for the radius of the pointlike charge because it emerges from low-energy (Thomson) scattering experiments (elastic scattering of photons, as opposed to inelastic Compton scattering). The assumption of a pointlike charge with radius *r*_{e} *=* α·*ħ*/m_{p}*c*) may also offer a geometric explanation of the anomalous magnetic moment.^{[12]}

In any case, the remarks above show that a Zitterbewegung model for non-leptonic fermions is likely to be somewhat problematic: a proton, for example, cannot be explained in terms of the Zitterbewegung of a positron (or a heavier variant of it, such as the muon- or tau-positron).^{[13]} This is why it is generally assumed the large energy (and the small size) of nucleons is to be explained by another force – a strong force which acts on a strong charge instead of an electric charge. One should note that both color and/or flavor in the standard quark–gluon model of the strong force may be thought of as zero-mass charges in ‘mass without mass’ kinematic models and, hence, the acknowledgment of this problem does *not* generally lead *zbw* theorists to abandon the quest for an alternative realist interpretation of quantum mechanics.

While Hestenes‘ *zbw* interpretation (and the geometric calculus approach he developed) is elegant and attractive, he did not seem to have managed to convincingly explain an obvious question of critics of the model: what keeps the pointlike charge in the *zbw* electron in its circular orbit? To put it simply: one may think of the electron as a superconducting ring but there is no *material* ring to hold and guide the charge. Of course, one may argue that the electromotive force explains the motion but this raises the fine-tuning problem: the slightest deviation of the pointlike charge from its circular orbit would yield disequilibrium and, therefore, non-stability. [One should note the fine-tuning problem is also present in mainstream quantum mechanics. See, for example, the discussion in *Feynman’s* *Lectures on Physics*.] The lack of a convincing answer to these and other questions (e.g. on the distribution of (magnetic) energy *within* the superconducting ring) led several theorists working on electron models (e.g. Alexander Burinskii^{[14]}^{[15]}) to move on and explore alternative geometric approaches, including Kerr-Newman geometries. Burinskii summarizes his model as follows: “The electron is a superconducting *disk* defined by an over-rotating black hole geometry. The charge emerges from the Möbius structure of the Kerr geometry.”^{[16]} His advanced modelling of the electron also allows for a conceptual bridge with mainstream quantum mechanics, grand unification theories and string theory: “[…] Compatibility between gravity and quantum theory can be achieved without modifications of Einstein-Maxwell equations, by coupling to a supersymmetric Higgs model of symmetry breaking and forming a nonperturbative super-bag solution, which generates a gravity-free Compton zone necessary for consistent work of quantum theory. Super-bag is naturally upgraded to Wess-Zumino supersymmetric QED model, forming a bridge to perturbative formalism of conventional QED.”^{[17]}

The various geometric approaches (Hestenes’ geometric calculus, Burinskii’s Kerr-Newman model, oscillator models) yield the same results (the intrinsic properties of the electron are derived from what may be referred to as kinematic equations or classical (but relativistically correct) equations) – except for a factor 2 or 1/2 or the inclusion (or not) of variable tuning parameters (Burinskii’s model, for example, allows for a variable geometry) – but the equivalence of the various models that may or may not explain the hypothetical Zitterbewegung still needs to be established.

The continued interest in *zbw* models may be explained because Zitterbewegung models – in particular Hestenes’ model and the oscillator model – are intuitive and, therefore, attractive. They are intuitive because they combine the Planck-Einstein relation (E = h*f*) and Einstein’s mass-energy equivalence (E = m*c*^{2}): each cycle of the *Zitterbewegung *electron effectively packs (i) the unit of physical action (*h*) and (ii) the electron’s energy. This allows one to understand Planck’s quantum of action as the product of the electron’s energy and the cycle time: *h* = E·T = h·*f*·T = h·*f*/*f* = *h.* In addition, the idea of a centripetal force keeping some zero-mass pointlike charge in a circular orbit also offers a geometric explanation of Einstein’s mass-energy equivalence relation: this equation, therefore, is no longer a rather inexplicable consequence of special relativity theory.

The section below offers a general overview of the original discovery of Schrödinger and Dirac. It is followed by further analysis which may or may not help the reader to judge whether the *Zitterbewegung* hypothesis might, effectively, amount to what David Hestenes claims it actually is: an alternative interpretation of quantum mechanics.

## Theory for a free fermion

[See the article: the author of this section does not seem to know – or does not mention, at least – that the *Zitterbewegung *hypothesis only applies to leptons (no strong charge).]

## Experimental evidence

The Zitterbewegung may remain theoretical because, as Dirac notes, the frequency may be too high to be observable: it is the same frequency as that of a 0.511 MeV gamma-ray. However, some experiments may offer indirect evidence. Dirac’s reference to electron scattering experiments is also quite relevant because such experiments yield two radii: a radius for elastic scattering (the classical electron radius) and a radius for inelastic scattering (the Compton radius). Zittebewegung theorists think Compton scattering involves electron-photon interference: the energy of the high-energy photon (X- or gamma-ray photons) is briefly absorbed before the electron comes back to its equilibrium situation by emitting another (lower-energy) photon (the difference in the energy of the incoming and the outgoing photon gives the electron some extra momentum). Because of this presumed interference effect, Compton scattering is referred to as inelastic. In contrast, low-energy photons scatter elastically: they seem to bounce off some hard core inside of the electron (no interference).

Some experiments also claim they amount to a simulation of the Zitterbewegung of a free relativistic particle. First, with a trapped ion, by putting it in an environment such that the non-relativistic Schrödinger equation for the ion has the same mathematical form as the Dirac equation (although the physical situation is different).^{[18]}^{[19]} Then, in 2013, it was simulated in a setup with Bose–Einstein condensates.^{[20]}

## The effective mass of the electric charge

The 2m factor in the formula for the *zbw* frequency and the interpretation of the Zitterbewegung in terms of a centripetal force acting on a pointlike charge with zero rest mass leads one to re-explore the concept of the effective mass of an electron. Indeed, if we write the *effective* mass of the pointlike charge as m_{γ} = γm_{0} then we can derive its value from the angular momentum of the electron (L = ħ/2) using the general angular momentum formula **L** = * r* ×

**p**and equating

*r*to the Compton radius:

This explains the 1/2 factor in the frequency formula for the Zitterbewegung. Substituting m for m_{γ} in the ω = 2m*c*^{2}/*ħ* yields an equivalence with the Planck-Einstein relation ω = m_{γ}*c*^{2}/*ħ*. The electron can then be described as an oscillator (in two dimensions) whose natural frequency is given by the Planck-Einstein relation.^{[21]}

# The Emperor Has No Clothes

I am going to re-work my manuscript. I am going to restructure it, and also add the QCD analyses I did in recent posts. This is the first draft of the foreword. Let me know what you think of it. 🙂

[…] I had various working titles for this publication. I liked ‘*A Bright Shining Lie*’ but that title is already taken. The *‘History of a Bad Idea’ *was another possibility, but my partner doesn’t like negative words. When I first talked to my new partner about my realist interpretation of quantum mechanics, she spontaneously referred to a story of that wonderful Danish storyteller, Hans Christian Andersen: *The Emperor’s New Clothes*. She was very surprised to hear I had actually produced a draft manuscript with the above-mentioned title (*The Emperor Has No Clothes*) on quantum electrodynamics which – after initially positive reactions – got turned down by two major publishers.[1] She advised me to stick to the original title and just give it another go. I might as well because the title is, obviously, also a bit of a naughty wink to one of Roger Penrose’s book.[2]

The ideas in this book are *not *all that easy to grasp – but they do amount to a full-blown realist interpretation of quantum mechanics, including both quantum electrodynamics (the theory of electrons and photons, and their interactions) and quantum chromodynamics – the theory of what goes on inside of a nucleus.[3] Where is gravity? And what about the weak force, and the new Higgs sector of what is commonly referred to as the Standard Model of physics? Don’t worry. We will talk about these too. Not to make any definite statements because we think science isn’t ready to make any definite statements about them. Why? Because we think it doesn’t make sense to analyze the weak force as a force. It’s just a different beast. Gravity is a different beast too: we will explore Einstein’s geometric interpretation of spacetime. As for the Higgs field, we think it is just an ugly placeholder in an equally ugly theory.

What ugly theory? Isn’t the Standard Model supposed to be beautiful? Sabine Hossenfelder[4] – writes the following about it in her latest book: “The Standard Model, despite its success, doesn’t get much love from physicists. Michio Kaku calls it “ugly and contrived,” Stephen Hawking says it’s “ugly and ad hoc,” Matt Strassler disparages it as “ugly and baroque,” Brian Greene complains that the standard model is “too flexible”, and Paul Davies thinks it “has the air of unfinished business” because “the tentative way in which it bundles together the electroweak and strong forces” is an “ugly feature.” I yet have to find someone who actually likes the standard model.”[5]

You may know Hossenfelder’s name. She recently highlighted work that doubts the rigor of the LIGO detections of gravitational waves.[6] I like it when scientists dare to question the award of a Nobel Prize. If any of what I write is true, then the Nobel Prize Committee has made a few premature awards over the past decades. Hossenfelder’s book explores the discontent with the Standard Model *within* the scientific community. Of course, the question is: what’s the alternative? That’s what this book is all about. You will be happy to hear that. You will be unhappy to hear that I am not to shy away from formulas and math. However, you should not worry: I am not going to pester you with gauge theory, renormalization, perturbation theory, transformations and what have you. Elementary high-school math is all you need. Reality is beautiful and complicated – but not *that *complicated: we can all understand it. 😊

[1] The pre-publication versions of this manuscript are date-stamped on http://vixra.org/abs/1901.0105.

[2] Roger Penrose, The Emperor’s New Mind, 1989.

[3] Physicists will note this is a rather limited definition of quantum chromodynamics. We will expand on it later.

[4] You may know her name. She recently highlighted work that doubs the rigor of the LIGO detections of gravitational waves. See: https://www.forbes.com/sites/startswithabang/2017/06/16/was-it-all-just-noise-independent-analysis-casts-doubt-on-ligos-detections. I like it when scientists dare to question a Nobel Prize. If any of what I write is true, then it’s obvious that it wouldn’t be the first time that the Nobel Prize Committee makes a premature award.

[5] Sabine Hossenfelder, *Lost in Math: How Beauty Leads Physics Astray*, 2018.

[6] See: https://www.forbes.com/sites/startswithabang/2017/06/16/was-it-all-just-noise-independent-analysis-casts-doubt-on-ligos-detections.

# The Charge Conservation Principle and Pair Production

The creation of an electron-positron pair out of a highly energetic photon – the most common example of pair production – is often presented as an example of how energy can be converted into *matter*. Vice versa, electron-positron annihilation then amounts to the *destruction *of matter. However, if John Wheeler’s concept of ‘mass without mass’ is correct – or if Schrödinger’s trivial solution to Dirac’s equation for an electron in free space (the *Zitterbewegung *interpretation of an electron) is correct – then what might actually be happening is probably simpler—but also far more intriguing.

John Wheeler’s intuitive ‘mass without mass’ idea is that matter and energy are just two sides of the same coin. That was Einstein’s intuition too: mass is just a measure of inertia—a measure of the resistance to a change in the state of motion. Energy itself is motion: the motion of a *charge*. Some force over some distance, and we associate a force with a *charge*. Not with mass. In this interpretation of physics, an electron is nothing but a pointlike charge whizzing about some center. It’s a charge caught in an electromagnetic oscillation. The pointlike charge itself has zero rest mass, which is why it moves about at the speed of light.[1]

This electron model is easy and intuitive. Developing a similar model for a *nucleon *– a proton or a neutron – is much more complicated because nucleons are held together by another force, which we commonly refer to as the strong force.

In regard to the latter, the reader should note that I am very hesitant to take the quark-gluon model of this strong force seriously. I entirely subscribe to Dirac’s rather skeptical evaluation of it:

“Now there are other kinds of interactions, which are revealed in high-energy physics and are important for the description of atomic nuclei. These interactions are not at present sufficiently well understood to be incorporated into a system of equations of motion. Theories of them have been set up and much developed and useful results obtained from them. But in the absence of equations of motion these theories cannot be presented as a logical development of the principles set up in this book. We are effectively in the *pre-Bohr era* with regard to these other interactions.”[2]

I readily admit he wrote this in 1967 (so that’s a *very *long time ago). He was reacting, most probably, to the invention of a new conservation law (the conservation of *strangeness*, as proposed by Gell-Mann, Nishijima, Pais and others) and the introduction of many other *ad hoc* QCD quantum numbers to explain why this or that disintegration path does or does not occur. It was all part of the Great Sense-Making Exercise at the time: how to explain the particle zoo?[3] In short, I am very reluctant to take the quark-gluon model of the strong force seriously.

However, I do acknowledge the experimental discovery of the fact that pairs of matter and anti-matter particles could be created out of highly energetic photons may well be the most significant discovery in post-WW II physics. Dirac’s preface to the 4th edition of the *Principles of Quantum Mechanics* summarized this as follows:

“In present-day high-energy physics, the creation and annihilation of charged particles is a frequent occurrence. A quantum electrodynamics which demands conservation of the number of charged particles is, therefore, out of touch with physical reality. So I have replaced it by a quantum electrodynamics which includes creation and annihilation of electron-positron pairs. […] It seems that the classical concept of an electron is no longer a useful model in physics, except possibly for elementary theories that are restricted to low-energy phenomena.”

Having said this, I think it’s useful to downplay Dr. Dirac’s excitement somewhat. Our world is governed by low-energy phenomena: if our Universe was created in a Big Bang – some extremely high-energy environment – then it happened 14 billion years or so ago, and the Universe has *cooled down* since. Hence, these high-energy experiments in labs and colliders are what they are: high-energy collisions followed by disintegration processes. They emulate the conditions of what might have happened in the first second – or the first minute, perhaps (surely *not *the first day or week or so) – after Creation.[4]

I am, therefore, a bit puzzled by Dr. Dirac’s sentiment. Why would he think the classical concept of an electron is no longer useful? An electron is a permanent fixture. We can create and destroy it in our high-energy colliders, but that doesn’t mean it’s no longer useful as a concept.

Pair production only happens when the photon is fired into a nucleus, and the generalization to ‘other’ bosons ‘spontaneously’ disintegrating into a particle and an anti-particle is outright pathetic. What happens is this: we fire an enormous amount of electromagnetic energy into a nucleus (the equivalent mass of the photon has to match the mass of the electron and the positron that’s being produced) and, hence, we destabilize the stable nucleus. However, Nature is strong. The strong force is strong. Some intermediate *energy state *emerges but Nature throws out the spanner in the works. The end result is that all can be analyzed, once again, in terms of the Planck-Einstein relation: we have stable particles, once again. [Of course, the positron finds itself in the anti-Universe and will, therefore, quickly disappear in the reverse process: electron-positron annihilation.]

No magic here. And – surely – no need for strange QCD quantum numbers.

Jean Louis Van Belle, 28 July 2019

[1] Erwin Schrödinger stumbled upon the *Zitterbewegung *interpretation of an electron when he was exploring solutions to Dirac’s wave equation for free electrons. It’s worth quoting Dirac’s summary of it: “The variables give rise to some rather unexpected phenomena concerning the motion of the electron. These have been fully worked out by Schrödinger. It is found that an electron which seems to us to be moving slowly, must actually have a very high frequency oscillatory motion of small amplitude superposed on the regular motion which appears to us. As a result of this oscillatory motion, the velocity of the electron at any time equals the velocity of light. This is a prediction which cannot be directly verified by experiment, since the frequency of the oscillatory motion is so high and its amplitude is so small. But one must believe in this consequence of the theory, since other consequences of the theory which are inseparably bound up with this one, such as the law of scattering of light by an electron, are confirmed by experiment.” (Paul A.M. Dirac, *Theory of Electrons and Positrons*, Nobel Lecture, December 12, 1933)

[2] P. A. M. Dirac, *The Principles of Quantum Mechanics*, Oxford University Press, 4th revised edition, Chapter XII (Quantum Electrodynamics), p. 312.

[3] Feynman’s 1963 *Lecture* on K-mesons (http://www.feynmanlectures.caltech.edu/III_11.html#Ch11-S5) is an excellent summary of the *state of affairs *at the time. The new colliders had, effectively, generated a ‘particle zoo’, and it had to be explained. We think physicists should first have acknowledged that these short-lived particles should, perhaps, not be associated with the idea of a (fundamental) particle: they’re unstable. Transients, at best. Many of them are just resonances.

[4] I use the term ‘Creation’ as an absolutely non-religious concept here: it’s just a synonym of the presumed ‘Big Bang’. To be very clear on this, I am rather appalled by semi-scientific accounts of the creation of our world in terms of the biblical week.

# The oscillator model, excited states, and electron-photon interactions

# Smoking Gun Physics

### The nature of the Higgs particle

The images below visualize what is generally referred to as the first ‘evidence’ for the Higgs boson: (1) two gamma rays emerging from the CERN LHC CMS detector, and (2) the tracks of four muons in the CERN LHC ATLAS detector. These tracks result from the collision between two protons that hit each other at a velocity of 99.99999 per cent of the speed of light – which corresponds to a combined energy of about 7 to 8 TeV.[1] That’s huge. After the ‘discovery’ of the Higgs particle, the LHC was shut down for maintenance and an upgrade, and the protons in the LHC can now be accelerated to energies up to 7 TeV – which amounts to 14 TeV when they crash into each other. However, the higher energy level only produced more of the same so far.[2]

We put ‘evidence’ and ‘discovery’ between inverted commas because the Higgs particle is (and, rest assured, will *forever* remain) a *ghost* particle only: we cannot* directly* observe it. Theoretical physicists and experimentalists agree these traces are just *signatures *of the long-awaited God particle. It was long-awaited indeed: the title of the six-page ‘leaflet’ explaining the award of the 2013 Nobel Prize in Physics to François Englert and Peter Higgs is: “*Here, at last!*”[3] The long wait for it – and CERN’s excellent media team – may explain why the Nobel Physics Committee and the Royal Swedish Academy of Sciences were so eager to award a Nobel Prize for this ! So we should ask ourselves: what’s the hype, and what are the physics? And do the physics warrant the hype?

The facts are rather simple. We cannot directly observe the Higgs particle because it is just like all of the other ‘particles’ that come out of these collisions: they are too short-lived to leave a* permanent* trace. Indeed, when two protons hit each other at these incredible velocities, then all that’s left is *debris* flying around. This debris quickly disintegrates into other more debris – until we’re left with what we’re used: *real *particles, like electrons or protons. Things that don’t disintegrate.

The energy of the *debris *(the gamma rays or the muons) coming out of ‘Higgs events’ tells us the energy of the Higgs particle must be about 125 GeV. Besides its mass, it does not seem to have any other properties: no spin, no electric charge. It is, therefore, known as a *scalar *boson. In everyday language, that means it is just some (real) number. Newton had already told us that mass, as a *measure of inertia*, is just some real positive number—and Einstein taught us energy and mass are equivalent.

Interpreting the facts is tough. I am just an amateur physicists and so my opinion won’t count for much. However, I can’t help feeling Higg’s theory just confirms the obvious. For starters, we should be very hesitant to use the term ‘particle’ for the Higgs boson because its lifetime is of the order of 10^{-22} s. Think of it as the time an electron needs to go from electron orbital to another. Even at the speed of light – which an object with a rest mass of 125 GeV/*c*^{2} cannot aspire to attain – a particle with such lifetime cannot travel more than a few *tenths *of a femtometer: about 0.3´10^{-15} m, to be precise. That’s not something you would associate it with the idea of a particle: a *resonance *in particle physics has the same lifetime.

That’s why we’ll never *see *the Higgs boson—just like we’ll never *see *the W^{±} and Z bosons whose mass it’s supposed to explain. Neither will none of us ever *see *a quark or a gluon: physicists tell us the *signals *that come out of colliders such as the LHC or, in the 1970s and 1980s, that came out of the PETRA accelerator in Hamburg, the Positron-Electron Project (PEP) at the Stanford National Accelerator Laboratory (SLAC), and the Super Proton-Antiproton Synchrotron at CERN, are *consistent *with the hypothesis that the strong and weak forces are *mediated *through particles known as bosons (force carriers) but – truth be told – the whole idea of forces being *mediated *by bosons is just what it is: a weird theory.

### Are virtual particles the successor to the *aether *theory?

Maybe we should first discuss the most obvious of all bosons: the photon. Photons are real. Of course, they are. They are, effectively, the particles of light. They are, in fact, the only bosons we can effectively *observe*. In fact, we’ve got a problem here: the only bosons we can effectively *observe* – photons – do *not *have all of the theoretical properties of a boson: as a spin-1 particle, the theoretical values for its angular momentum are ± *ħ* or 0. However, photons don’t have a zero-spin state. Never. This is one of the things in mainstream quantum mechanics that has always irked me. All courses in quantum mechanics spend like two or three chapters on why bosons and fermions are different (spin-one versus spin-1/2), but when it comes to the specifics – real-life stuff – then the only boson we actually know (the photon) turns out to *not *be a typical boson because it can’t have zero spin. [Physicists will, of course, say the most important property of bosons is that they you can keep piling bosons on top of bosons, and you can do that with photons. Bosons are supposed to like to be together, because we want to keep adding to the force without limit. But… Well… I have another explanation for that. It’s got to do with the fact that bosons don’t – or shouldn’t – carry charge. But I don’t want to start another digression on that. Not here.]

So photons – the only *real-life *bosons we’ve ever observed – aren’t typical bosons. More importantly, no course in physics has ever been able to explain why we’d need photons in the role of *virtual *particles. Why would an electron in some atomic orbital continuously exchange photons with the proton that holds it in its orbit? When you ask that question to a physicist, he or she will start blubbering about quantum field theory and other mathematical wizardry—but he or she will never give you a clear answer. I’ll come back to this in the next section of this paper.

I don’t think there is a clear answer. Worse, I’ve started to think the whole idea of some particle *mediating *a force is nonsense. It’s like the 19^{th}-century *aether *theory: we don’t need it. We don’t need it in electromagnetic theory: Maxwell’s Laws – augmented with the Planck-Einstein relation – will do. We also don’t need it to model the strong force. The *quark*–*gluon *model – according to which quarks change color all of the time – does *not *come with any simplification as compared to a simpler *parton *model:

- The quark-gluon model gives us (at least) two quarks[4], two anti-quarks and nine gluons, so that adds up to 13 different objects.
- If we just combine the idea of a parton – a pointlike carrier of
*properties*– with… Well… Its properties – the possible electric charges (±2/3 and ±1/3) and the possible color charges (red, green and blue) – we’ve got 12 partons, and such ‘parton model’ explains just as much.[5]

I also don’t think we need it to model the weak force. Let me be *very *clear about my intuition/sentiment/appreciation—whatever you want to call it:

**We don’t need a Higgs theory to explain why W/Z bosons have mass because I think W/Z bosons don’t exist: they’re a figment of our imagination.**

Why do we even need the concept of a *force *to explain why things fall apart? The world of unstable particles – *transient *particles as I call them – is a different realm altogether. Physicists will cry wolf here: CERN’s Super Proton-Antiproton Synchrotron produced evidence for W^{+}, W^{–} and Z bosons back in 1983, didn’t it?

No. The evidence is just the same as the ‘evidence’ for the Higgs boson: we produce a short-lived blob of energy which disintegrates in no time (10^{-22} s or 10^{-23} s is no time, really) and, for some reason no one really understands, we think of it as a force carrier: something that’s supposed to be very different from the other blobs of energy that emerge while it disintegrates into *jets *made up of other transients and/or resonances. The end result is always the same: the various blobs of energy further dis- and reintegrate as stable particles (think of protons, electrons and neutrinos[6]). There is no good reason to introduce a bunch of weird *flavor *quantum numbers to think of how such processes might actually occur. In reality, we have a very limited number of permanent fixtures (electrons, protons and photons), hundreds of *transients *(particles that fall apart) and thousands of resonances (excited states of the transient and non-transient stuff).

You’ll ask me: so what’s the difference between them then?

Stable particles respect the E = h·*f* = ħ·ω relation—and they do so *exactly*. For non-stable particles – transients – that relation is slightly off, and so they die. They die by falling apart in more stable configurations, until we are left with stable particles only. As for resonances, they are just that: some excited state of a stable or a non-stable particle. Full stop. No magic needed.[7]

### Photons as bosons

Photons are real and, yes, they carry energy. When an electron goes from one state to another (read: from one electron orbital to another), it will absorb or emit a photon. Photons make up light: visible light, low-energy radio waves, or high-energy X- and γ-rays. These waves carry energy and – when we look real close – they are made up of photons. So, yes, it’s the photons that carry the energy.

Saying they carry electromagnetic energy is something else than saying they carry electromagnetic *force* itself. A force acts on a charge: a photon carries no charge. If photons carry no charge, then why would we think of them as carrying the force?

I wrote I’ve always been irked by the fact that photons – again, the only *real-life *bosons we’ve ever observed – don’t have all of the required properties of the theoretical force-carrying particle physicists invented: the ‘boson’. If bosons exist, then the bosons we associate with the strong and weak force should also not carry any charge: color charge or… Well… What’s the ‘weak’ charge? Flavor? *Come on guys ! *Give us something we can believe in.

That’s one reason – for me, at least – why the idea of gluons and W/Z bosons is non-sensical. Gluons carry color charge, and W/Z bosons carry electric charge (except for the Z boson – but we may think of it as carrying both positive and negative charge). They shouldn’t. Let us quickly review what I refer to as a ‘classical’ quantum theory of light.[8]

If there is one quantum-mechanical rule that no one never doubts, it is that angular momentum comes in units of *ħ*: Planck’s (reduced) constant. When analyzing the electron orbitals for the simplest of atoms (the one-proton hydrogen atom), this rule amounts to saying the electron orbitals are separated by a amount of *physical* *action *that is equal to *h* = 2π·*ħ*. Hence, when an electron jumps from one level to the next – say from the second to the first – then the atom will lose one unit of *h*. The photon that is emitted or absorbed will have to pack that somehow. It will also have to pack the related energy, which is given by the Rydberg formula:To focus our thinking, let us consider the transition from the second to the first level, for which the 1/1^{2} – 1/2^{2} is equal 0.75. Hence, the photon energy should be equal to (0.75)·E* _{R}* ≈ 10.2 eV. Now, if the total action is equal to

*h*, then the cycle time T can be calculated as:

This corresponds to a wave train with a length of (3×10

^{8}m/s)·(0.4×10

^{-15}s) = 122 nm. That is the size of a large molecule and it is, therefore, much more reasonable than the length of the wave trains we get when thinking of transients using the supposed Q of an atomic oscillator.[9] In fact, this length is the wavelength of the light (λ =

*c*/

*f*=

*c*·T = h·

*c*/E) that we would associate with this photon energy.

We should quickly insert another calculation here. If we think of an electromagnetic oscillation – as a beam or, what we are trying to do here, as some *quantum* – then its energy is going to be proportional to (a) the square of the amplitude of the oscillation – and we are *not *thinking of a quantum-mechanical amplitude here: we are talking the amplitude of a *physical* wave here – and (b) the square of the frequency. Hence, if we write the amplitude as *a* and the frequency as ω, then the energy should be equal to E = k·*a*^{2}·ω^{2}, and the k in this equation is just a proportionality factor.

However, relativity theory tells us the energy will have some equivalent mass, which is given by Einstein’s mass-equivalence relation: E = m·*c*^{2}. This equation tells us the energy of a photon is proportional to its mass, and the proportionality factor is *c*^{2}. So we have two proportionality relations now, which (should) give us the same energy. Hence, k·*a*^{2}·ω^{2} must be equal to m·*c*^{2}, *somehow*.

How should we *interpret *this? It is, obviously, very tempting to equate k and m, but we can only do this if *c*^{2} is equal to *a*^{2}·ω^{2} or – what amounts to the same – if *c *= *a*·ω. You will recognize this as a tangential velocity formula. The question is: the tangential velocity of *what*? The *a *in the E = k·*a*^{2}·ω^{2} formula that we started off with is an amplitude: why would we suddenly think of it as a radius now? Because our photon is circularly polarized. To be precise, its angular momentum is +*ħ* or –*ħ*. There is no zero-spin state. Hence, if we think of this classically, then we will associate it with circular polarization.

However, these properties do not make it a *boson* or, let me be precise, these properties do not make it a *virtual *particle. Again, I’ve haven’t seen a textbook – advanced or intermediate level – that answers this simple question: why would an electron in some *stable *atomic orbital – it does not emit or absorb any energy – continuously exchange *virtual* photons with the proton that holds it in its orbit?

How would that photon look like? It would have to have some energy, right? And it would have to pack to physical action, right? Why and how would it take that energy – or that action (I like the German *Wirkung *much better in terms of capturing that concept) – away from the electron orbital? In fact, the *idea *of an electron orbital combines the idea of the electron and the proton—and their mutual attraction. The physicists who imagine those virtual photons are making a philosophical category mistake. We think they’re making a similar mistake when advancing the *hypothesis *of gluons and W/Z bosons.

# Conclusions

We think the idea of *virtual *particles, gauge bosons and/or force-carrying particles in general is superfluous. The whole idea of bosons mediating forces resembles 19th century *aether *theory: we don’t need it. The implication is clear: if that’s the case, then we also don’t need gauge theory and/or quantum field theory.

Jean Louis Van Belle, 21 July 2019

[1] We took this from the above-mentioned leaflet. A proton has a *rest* energy of 938,272 eV, more or less. An energy equal to 4 TeV (the *tera*– prefix implies 12 zeroes) implies a Lorentz factor that is equal to γ = E/E_{0} = 4´10^{12}/938,272 » 1´10^{6}. Now, we know that 1 – β^{2} = *c*^{2}/*c*^{2} – *v*^{2}/*c*^{2} = 1/γ^{2} = 1/γ^{2} » 1´10^{-12}. The square root of that is of the order of a *millionth*, so we get the same order of magnitude.

[2] To be fair, the high-energy collisions also resulted in the production of some more short-lived ‘particles’, such as new variants of *bottomonium*: mesons that are supposed to consist of a *bottom *quark and its anti-matter counterpart.

[3] See: https://www.nobelprize.org/uploads/2018/06/popular-physicsprize2013-1.pdf. Higgs’ theory itself – on how gauge bosons can acquire non-zero masses – goes back to 1964 and was put forward by three individual research groups. See: https://en.wikipedia.org/wiki/1964_PRL_symmetry_breaking_papers.

[4] We write *at least *because we are only considering *u* and *d* quarks here: the constituents of all stable or fairly stable matter (protons and neutrons, basically).

[5] See: Jean Louis Van Belle, *A Realist Interpretation of QCD*, 16 July 2019.

[6] If we think of energy as the *currency *of the Universe, then you should think of protons and electrons as bank notes, and neutrinos as the coins: they provide the *change*.

[7] See: Jean Louis Van Belle, *Is the Weak Force a Force?*, 19 July 2019.

[8] This is a very much abbreviated summary. For a more comprehensive analysis, see: Jean Louis Van Belle, *A Classical Quantum Theory of Light*, 13 June 2019.

[9] In one of his *Lectures* (I-32-3), Feynman thinks about the Q of a sodium atom, which emits and absorbs sodium light, of course. Based on various assumptions – assumption that make sense in the context of the blackbody radiation model but *not *in the context of the Bohr model – he gets a Q of about 5×10^{7}. Now, the frequency of sodium light is about 500 THz (500×10^{12 }oscillations per second). Hence, the *decay time *of the radiation is of the order of 10^{–}^{8} seconds. So that means that, after 5×10^{7} oscillations, the amplitude will have died by a factor 1/*e* ≈ 0.37. That seems to be very short, but it still makes for 5 million oscillations and, because the wavelength of sodium light is about 600 nm (600×10^{–9 }meter), we get a wave train with a considerable length: (5×10^{6})·(600×10^{–9 }meter) = 3 meter. *Surely You’re Joking, Mr. Feynman!* A photon with a length of 3 meter – or longer? While one might argue that relativity theory saves us here (relativistic length contraction should cause this length to reduce to zero as the wave train zips by at the speed of light), this just doesn’t feel right – especially when one takes a closer look at the assumptions behind.

# Is the weak force a force?

# The virtuality of virtual particles

I’ve did what I promised to do – and that is to start posting on my other blog. On quantum chromodynamics, that is. But I think this paper deserves wider distribution. 🙂

The paper below probably sort of sums up my views on quantum field theory. I am not sure if I am going to continue to blog. I moved my papers to an academia.edu site and… Well… I think that’s about it. 🙂

# Realist interpretations of QM…

One of the readers of this blog asked me what I thought of the following site: Rational Science (https://www.youtube.com/channel/UC_I_L6pPCwxTgAH7yutyxqA). I watched it – for a brief while – and I must admit I am thoroughly disappointed by it. I think it’s important enough to re-post what I posted on this YouTube channel itself:

“I do believe there is an element of irrationality in modern physics: a realist interpretation of quantum electrodynamics is possible but may not gain acceptance because religion and other factors may make scientists somewhat hesitant to accept a common-sense explanation of things. The mystery needs to be there, and it needs to be protected – somehow. Quantum mechanics may well be the only place where God can hide – in science, that is.

But – in his attempt to do away with the notion of God – Bill Gaede takes things way too far – and so I think he errs on the other side of the spectrum. Mass, energy and spacetime are essential categories of the mind (or concepts if you want) to explain the world. Mass is a measure of inertia to a change in the state of motion of an object, kinetic energy is the energy of motion, potential energy is energy because of an object’s position in spacetime, etcetera. So, yes, these are concepts – and we need these concepts to explain what we human beings refer to as ‘the World’. Space and time are categories of the mind as well – philosophical or mathematical concepts, in other words – but they are related and well-defined.

In fact, space and time define each other also because the primordial idea of motion implies both: the idea of motion implies we imagine something moving in space and in time. So that’s space-time, and it’s a useful idea. That also explains why time goes in one direction only. If we’d allow time to reverse, then we’d also an object to be in two places at the same time (if an object can go back in time, then it can also go back to some other place – and so then it’s in two places at the same time). This is just one example where math makes sense of physical realities – or where our mind meets ‘the World’.

When Bill Gaede quotes Wheeler and other physicists in an attempt to make you feel he’s on the right side of history, he quotes him very selectively. John Wheeler, for example, believed in the idea of ‘mass’ – but it was ‘mass without mass’ for him: the mass of an object was the equivalent mass of the object’s energy. The ideas of Wheeler have been taken forward by a minority of physicists, such as David Hestenes and Alexander Burinskii. They’ve developed a fully-fledged electron model that combines wave and particle characteristics. It effectively does away with all of the hocus-pocus in QED – which Bill Gaede criticizes, and rightly so.

In short, while it’s useful to criticize mainstream physics as hocus-pocus, Bill Gaede is taking it much too far and, unfortunately, gives too much ammunition to critics to think of people like us – amateur physicists or scientists who try to make sense of it all – as wackos or crackpots. Math is, effectively, descriptive but, just like anything else, we need a language to describe stuff, and math is the language in which we describe actual physics. Trying to discredit the mathematical approach to science is at least as bad – much worse, actually – than attaching too much importance to it. Yes, we need to remind ourselves constantly that we are describing something physical, but we need concepts for that – and these concepts are mathematical.

PS: Bill Gaede also has very poor credentials, but you may want to judge these for yourself: https://en.wikipedia.org/wiki/Bill_Gaede. These poor credentials do not imply that his views are automatically wrong, but it does introduce an element of insincerity. In short, watch what you’re watching and always check sources and backgrounds when googling for answers to questions, especially when you’re googling for answers to fundamental questions ! 🙂