New kaon decay modes?

As an amateur physicist, I get a regular stream of email updates from Science, Nature and Phys.org on new discoveries and new theories in quantum physics. I usually have no idea what to do with them. However, I want to single out two recent updates on the state of affairs of research which these channels report on. The first one is reflected in the title of this post. It’s on a very rare decay mode of kaons: see https://phys.org/news/2024-09-ultra-rare-particle-decay-uncover.html.

Something inside of me says this may lead to a review of all these newly invented conservation laws – combined with new ideas on symmetry breaking too – and/or new ‘quantum numbers’ that are associated with the quark hypothesis: I think everyone has already forgotten about ‘baryon conservation’, so other simplifications based on, yes, simpler Zitterbewegung models of particles may be possible.

The historical background to this is well described by Richard Feynman in his discussion of how these new quantum numbers – strangeness, specifically – were invented to deal with the observation that certain decay reactions were not being observed (see: Feynman’s Lectures, III-11-5, the (neutral) K-meson). So now it turns that certain decay reactions are being observed! Shouldn’t that lead to (future) scientists revisiting the quark/gluon hypothesis itself?

Of course, that would call into question several Nobel Prize awards, so we think it won’t happen any time soon. 🙂 This brings me to the second update from the field. Indeed, a more recent Nobel Prize in Physics which should, perhaps, be questioned in light of more recent measurements questioning old(er) ones (and the theories that are based on them) is the Nobel Prize in 2011 for work on the cosmological constant. Why? Because… Well… New measurements on the rate of expansion of the Universe as reported by Phys.org last month question the measurements which led to that 2011 Prize. Is anyone bothered by that? No. Except me, perhaps, because I am old-fashioned and wonder what is going on.

I get asked about gravity, and some people push particle theories to me talking about gravity. I am, quite simply, not interested. This ‘coming and going’ of the “cosmological constant hypothesis” over the past decades – or, should we say, the past 80 years or so – makes me stay away from GUTs and anything that is related to it. If scientists cannot even agree on these measurements, it is of not much use to invent new modified gravity theories fitting into ever-expanding grand unification schemes based on mathematical frameworks that can only be understood by the conoscienti, isn’t it?

It is tough: I am not the only one (and definitely not the best placed one) to see a lot of researchers – both amateur as well as professional – “getting lost in math” (cf. the title of Hossenfelder’s best-seller). Will there be an end to this, one day?

I am optimistic and so I think: yes. One of the recurring principles that guides some of the critical physicists I greatly admire is Occam’s Razor Principle: keep it simple! Make sure the degrees of freedom in your mathematical scheme match those of the physics you are trying to describe. That requires a lot of rigor in the use of concepts: perhaps we should add concepts to those that, say, Schrödinger and Einstein used 100 years ago. However, my own pet theories and recycling of their ideas do not suggest that. And so I really just can’t get myself to read up on Clifford algebras and other mathematical constructs I am told to study – simply because this or that person tells me I should think in terms of spinors rather than in terms of currents (to just give one specific example here).

I can only hope that more and more academics will come to see this, and that the Nobel Prize committee may think some more about rewarding more conservative approaches rather than the next cargo cult science idea.

OK. I should stop rambling. The musings above do not answer the question we all have: what about gravity, then? My take on that is this: I am fine with Einstein’s idea of gravity just being a reflection of the distribution of energy/mass in the Universe. Whether or not the Universe expands at an ever-faster-accelerating pace must, first, be firmly established by measurements and then, secondly, even then there may be no need for invoking a cosmological constant or other elements of a new “aetherial” theory of space and time.

Indeed, Einstein thought that his first hypothesis on a possible cosmological constant was “his biggest blunder ever.” While I know nothing of the nitty-gritty, I think it is important to listen to “good ol’ Einstein” – especially when he talked about what he ‘trusted’ or not in terms of physical explanations. Einstein’s rejection of the idea of a cosmological constant – after first coming up with it himself and, therefore, having probably having the best grasp of its implications – suggests the cosmological constant is just yet another non-justifiable metaphysical construct in physics and astronomy.

So, let us wrap up this post: is or is there not a need for ‘modified gravity’ theories? I will let you think about that. I am fine with Einstein’s ‘geometric’ explanation of it.

Post scriptum: While I think quite a few of these new quantum numbers related to quarks and – most probably – the quark hypothesis itself will be forgotten in, say, 50 or 100 years from now, the idea of some ‘triadic’ structure to explain the three generations of particles and strange decay modes, is – essentially – sound. Some kind of ‘color’ scheme (I call, rather jokingly, an “RGB scheme” – referring to the color scheme used in video/image processing) should be very useful: an electron annihilates a positron but an electron combines with a proton to form an atom, so there’s something different about these two charges. Likewise, if we think of a neutron as neutral neutronic current, the two charges “inside” must be very different… See pp. 7 ff. on this in my recent paper on multi-charge zbw models.

I was sceptical before – and I am still not a believer in the quark hypothesis – but I do think physicists – or, more likely, future generations of physicists – should get a better “grip” on these three different ‘types’ of electric charge as part of a more realist explanation of what second- or third-generation “versions” of elementary particles might actually be. Such explanation will then probably also explain these “unstable states” (not quite respecting the Planck-Einstein relation) or “exotic” particles. Indeed, I do not see much of a distinction between stable and unstable particle states in current physics. But that’s a remark that’s probably not essential to the discussion here… 🙂

One final remark, perhaps: my first instinct when looking at particle physics, was actually very much inspired by the idea that the quantum-mechanical wavefunction might be something else than just an EM oscillation. When I first calculated force fields in a Zitter electron, and then in the muon-electron and proton, I was rather shocked (see pp. 16 ff. of one of my early papers) and thought: wow! Are we modelling tiny black holes here? But then I quickly came to terms with it. Small massive things must come with such huge field strengths, and all particle radius formulas have mass (or energy) in the denominator: so more mass/energy means smaller scale, indeed! And I also quickly calculated the Schwarzschild radius for these elementary particles, and that is A WHOLE LOT smaller than the radius I get from my simple electromagnetic equations and the Planck-Einstein relation. So I see absolutely no reason whatsoever to think gravitational effects might take over from plain EM fields when you look at things at the smallest of scales.

But, then, who am I? I like to think I am not inventing anything new. I just enjoy playing with old ideas to see if something new comes out of it. I think I am fortunate because I do see a lot of new things coming out of the old ideas, even if there is little or nothing we can add to them: the old Masters have already written it all out. So, now I should stop chewing on these old ideas as well and conclude: if you want to read something, don’t read me or anything contemporary. Just read the classics! Many modern minds – often great mathematicians – tried or try to be smarter than Einstein, Lorentz, de Broglie or Schrödinger (I am deliberately not mentioning other great names): I think the more recent discoveries in physics and cosmology show they are not. 🙂

Note: Despite my recommendation not to read me, I did write another – probably more accessible – paper on a classical and straightforward geometrical explanation of the anomaly in the electron’s magnetic moment. Even if you do not like the explanation, I think it has a few interesting references to papers by contemporary academics that I find really interesting. 🙂

The ultimate zbw electron model

Just after finishing a rather sober and, probably, overly pessimistic reflection on where the Zitterbewegung interpretation of quantum theory stands, I am excited to see a superbly written article by Dr. Kovacs and Dr. Vassallo on what I now think of as the ultimate electron model: Rethinking electron statistics rules (10 September 2024). I think it is great because it addresses several points in my rather depressing description of the state of zbw theory:

  1. Multiple Zitterbewegung interpretations of what an electron actually is, currently coexist. Indeed, both mainstream and non-mainstream physicists have now been going back and forth for about 100 years on this or that electron model: the referenced Kovacs/Vassallo article effectively appeared in a special journal issue titled: “100 Years of Quantum Matter Waves: Celebrating the Work of Louis De Broglie.” 100+ years of discussion have basically led us back to Parson’s 1915 ring current model, which Joseph Larmor presented so well at the 1921 Solvay Conference. We do not think that is a good situation: it looks a bit like 100 years of re-inventing the wheel – or, perhaps, I should say: wheels within wheels. 🙂 I could write more about this but I am happy to see the discussion on – just one example of differing views here – whether or not there should be a 1/2 factor in the electron’s frequency may be considered to be finally solved: de Broglie’s matter-wave frequency is just the same as the Planck-Einstein frequency in this paper. This factor 2 or 1/2 pops up when considering ideas such as the effective mass of the zbw charge or – in the context of Schrödinger’s equation – because we’re modeling the motion of electron pairs rather than electrons (see the annexes to my paper on de Broglie’s matter-wave concept). In short: great! Now we can, finally, leave those 100+ years of discussions behind us. 🙂
  2. Dr. Kovacs and Dr. Vassallo also explore the nature of superconductivity and Bose-Einstein statistics, and not only does their analysis away with the rather mystical explanation in Feynman’s last and final chapter of his lectures on quantum mechanics but it also offers a very fine treatment of n-electron systems. Their comments on ‘bosonic’ and ‘fermionic’ properties of matter-particles also tie in with my early assessment that the boson-fermion dichotomy has no ontological basis.

The hundreds of downloads of their article since it was published just two weeks ago also shows new and old ways of thinking and modelling apparently come nicely together in this article: if your articles get hundreds of reads as soon as published, then you are definitely not non-mainstream any more: both Dr. Kovacs and Dr. Vassallo have an extraordinary talent for rephrasing old questions in the new “language” of modern quantum theory. That is to be lauded. Hopefully, work on a proton and a neutron model will now complement what I think of as the ultimate electron model based on a local and realist interpretation of what de Broglie’s matter-wave actually is. Indeed, critics of modern quantum theory often quote the following line from Philip Pearle’s Classical Electron Models [1]:

The state of the classical electron theory reminds one of a house under construction that was abandoned by its workmen upon receiving news of an approaching plague. The plague in this case, of course, was quantum theory. As a result, classical electron theory stands with many interesting unsolved or partially solved problems.”

I think Dr. Kovacs and Dr. Vassallo may have managed to finish this “abandoned construction” – albeit with an approach which differs significantly from that of Pearle: that is good because I think there were good reasons for the “workmen” to leave the construction site (see footnote [1]). 🙂 So, yes, I hope they will be able – a few years from now – to also solve the questions related to a Zitterbewegung proton and neutron model.

In fact, they already have a consistent proton model (see: the proton and Occam’s Razor, May 2023), but something inside of me says that they should also explore different topologies, such as this Lissajous-like trajectory which intrigues me more than helical/toroidal approaches – but then who am I? I am the first to recognize my limitations as an amateur and it is, therefore, great to see professionals such as Dr. Kovacs and Dr. Vassallo applying their formidable skills and intuition to the problem. 🙂


[1] Pearle’s paper is the seventh in a volume of eight chapters. The book’s title is, quite simply, titled Electromagnetism (1982), and it was put together and edited by Doris Teplitz (1982). Few who quote this famous line, bother to read the Philip Pearle paper itself. This paper effectively presents what Pearle refers to as classical electron models: all of them are based on “rigid or flexible shell surfaces” of charge, which is why we think they did not “cut it” for the many “workmen” (read: the mainstream scientists who thought the Bohr-Heisenberg amplitude math and the probability theory that comes with it) who left the then unfinished construction.

We think the approach taken by Dr. Kovacs and Dr. Vassallo is more productive when it comes to bringing mainstream and Zitterbewegung theorists together around a productive mathematical framework in which the probabibilities are explained based on a plain interpretation of Schrödinger’s ‘discovery’ – which is that the elementary wavefunction represents a real equation of motion of a pointlike but not infinitesimally charge inside of an electron.

As for trying out different topologies, we understand Dr. Kovacs and Dr. Vassallo are working very hard on that, so all we can do is to wish them the best of luck. Godspeed! 🙂