Antimatter, dark matter and cosmogenesis

I used ChatGPT to push the math and logic of my ‘realist’ interpretation of (1) matter-antimatter annihilation and creation (the Dirac and Breit-Wheeler processes, respectively) and (2) dark matter and dark energy to its logical and philosophical limits. For those who do not like to read, I made two short audio videos as well: the one on my “mirror force” idea is here, and from there you can go to the other video(s) in the playlist. 🙂 The implications for cosmogenesis models are rather profound – it calls for another approach to explain any “Big Bang” that may or may not have occurred when our Universe was born – so that is something to explore in the future, perhaps.

The metaphysics of physics: final thoughts

I wrote my last post here two months ago and so, yes, I feel I have done a good job of ‘switching off’. I have to: I’ve started a new and pretty consuming job as ICT project manager. 🙂

Before starting work, I did take a relaxing break: I went to Barcelona and read quite a few books and, no, no books on quantum physics. Historical and other things are more fun and give you less of a headache.

However, having said that, the peace and quiet did lead to some kind of ‘final thoughts’ on the ‘metaphysics of physics’, and I also did what I never did in regard to my intuition that dark matter/energy might be explained by some kind of ‘mirror force’: the electromagnetic force as it appears in a mirror image. Not much change in the math, but physical left- and right-hand rules for magnetic effects that just swap for each other.

You can find the results of that in a very concise (four pages only) paper on my ResearchGate site, and also in two lectures (each a bit more than one hour) on my YouTube channel. The first video focuses on ‘big questions’, while the second one talks about this ‘mirror’ force (I previously referred to it as a ‘anti-force’ but I realize that’s not a good term), and on how that would fit with Maxwell’s equations (including Maxwell’s equation written in four-vector algebra).

Have fun and keep thinking. Most importantly: keep thinking for yourself ! Do not take anything for granted in this brave new world. 🙂

Epilogue: an Easter podcast

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

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

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

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

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

Bring forward what is true.

Write it so that it is clear.

Defend it to your last breath.”

Ludwig Boltzmann (1844 – 1906)

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

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

An antiforce to explain dark matter?

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

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

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

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

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

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

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

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


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

The Nature of Antimatter (dark matter)

The electromagnetic force has an asymmetry: the magnetic field lags the electric field. The phase shift is 90 degrees. We can use complex notation to write the E and B vectors as functions of each other. Indeed, the Lorentz force on a charge is equal to: F = qE + q(v×B). Hence, if we know the (electric field) E, then we know the (magnetic field) B: B is perpendicular to E, and its magnitude is 1/c times the magnitude of E. We may, therefore, write:

B = –iE/c

The minus sign in the B = –iE/c expression is there because we need to combine several conventions here. Of course, there is the classical (physical) right-hand rule for E and B, but we also need to combine the right-hand rule for the coordinate system with the convention that multiplication with the imaginary unit amounts to a counterclockwise rotation by 90 degrees. Hence, the minus sign is necessary for the consistency of the description. It ensures that we can associate the aeiEt/ħ and aeiEt/ħ functions with left and right-handed spin (angular momentum), respectively.

Now, we can easily imagine a antiforce: an electromagnetic antiforce would have a magnetic field which precedes the electric field by 90 degrees, and we can do the same for the nuclear force (EM and nuclear oscillations are 2D and 3D oscillations respectively). It is just an application of Occam’s Razor principle: the mathematical possibilities in the description (notations and equations) must correspond to physical realities, and vice versa (one-on-one). Hence, to describe antimatter, all we have to do is to put a minus sign in front of the wavefunction. [Of course, we should also take the opposite of the charge(s) of its antimatter counterpart, and please note we have a possible plural here (charges) because we think of neutral particles (e.g. neutrons, or neutral mesons) as consisting of opposite charges.] This is just the principle which we already applied when working out the equation for the neutral antikaon (see Annex IV and V of the above-referenced paper):

Don’t worry if you do not understand too much of the equations: we just put them there to impress the professionals. 🙂 The point is this: matter and antimatter are each other opposite, literally: the wavefunctions aeiEt/ħ and –aeiEt/ħ add up to zero, and they correspond to opposite forces too! Of course, we also have lightparticles, so we have antiphotons and antineutrinos too.

We think this explains the rather enormous amount of so-called dark matter and dark energy in the Universe (the Wikipedia article on dark matter says it accounts for about 85% of the total mass/energy of the Universe, while the article on the observable Universe puts it at about 95%!). We did not say much about this in our YouTube talk about the Universe, but we think we understand things now. Dark matter is called dark because it does not appear to interact with the electromagnetic field: it does not seem to absorb, reflect or emit electromagnetic radiation, and is, therefore, difficult to detect. That should not be a surprise: antiphotons would not be absorbed or emitted by ordinary matter. Only anti-atoms (i.e. think of a antihydrogen atom as a antiproton and a positron here) would do so.

So did we explain the mystery? We think so. 🙂

We will conclude with a final remark/question. The opposite spacetime signature of antimatter is, obviously, equivalent to a swap of the real and imaginary axes. This begs the question: can we, perhaps, dispense with the concept of charge altogether? Is geometry enough to understand everything? We are not quite sure how to answer this question but we do not think so: a positron is a positron, and an electron is an electron¾the sign of the charge (positive and negative, respectively) is what distinguishes them! We also think charge is conserved, at the level of the charges themselves (see our paper on matter/antimatter pair production and annihilation).

We, therefore, think of charge as the essence of the Universe. But, yes, everything else is sheer geometry! 🙂