From Subatomic Rings to Starquakes: A Saturday Morning Leap Into Relativistic Phase Space

If you have been following my recent papers, you know that the RealQM framework has spent a lot of time down in the subatomic dirt. We have been building computational models of neutrons, protons, and multi-alpha networks (like Carbon-12 and Oxygen-16) by ditching the abstract “strong nuclear force”. Instead, we have been calculating everything from first principles: classical electrodynamics, relativity, and non-linear phase-locking via the Neumann mutual inductance tensor.

Our open-source solver on GitHub has done an excellent job showing how a bound neutron stabilizes when a nearby proton locks its dynamic phase drift.

But this Saturday morning, over a cup of coffee and a cigarette, things took a rather unexpected turn. During a rapid brainstorming session with Gemini, we asked a wild question: What happens if we take this exact same electrodynamic phase-locking engine and scale it up from a 16-body atomic network to an astronomical $10^{57}$ -body network? In other words: can we use the new computational approach for modeling nucleons to model someting like a neutron star?

So we jumped straight from the micro-cosmos to the macro-cosmos—and the result is a brand-new paper on ResearchGate and a new functional 3D simulator: the RealQM Neutron Star Engine.

Embedding the Kuramoto Network into Schwarzschild Spacetime

In our nucleon models, the Zitterbewegung current loops spin at a bare intrinsic frequency $\omega _{0}$ . But when you pack $10^{57}$ nucleons into a city-sized sphere under extreme gravitational compression, General Relativity enters the chat.

According to the Schwarzschild metric, local proper time ticks slower the deeper you go into a gravity well. This means a neutron star is not a collection of identical clocks. Gravity introduces a steep radial frequency gradient:

$\omega _{i}(r)=\omega _{0}\sqrt{1-\frac{R_{s}}{r_{i}}}$

Our core engine couples this GRT time dilation directly into a macroscopic Kuramoto phase-velocity equation:

$\frac{d\theta _{i}}{dt}=\omega _{0}\sqrt{1-\frac{R_{s}}{r_{i}}}-\sum _{j=1}^{N}K_{ij}(|\vec{r}_{i}-\vec{r}_{j}|)\sin (\theta _{i}-\theta _{j}-\alpha _{ij})$

Where $K_{ij}$ is our cubic near-field coupling $1/r^3$ , and $\alpha _{ij}$ is a geometric phase-twist representing the intense internal magnetic fields of a magnetar.

The Ultimate Star Collapse Stop-Mechanism

This architecture yields a beautiful alternative to mainstream physics. Standard theory claims neutron stars are held up by abstract “quantum degeneracy pressure” born from the Pauli Exclusion Principle.

The RealQM math offers a cleaner, electrodynamic alternative: as gravity tries to crush the star, it forces the spatial separations to plummet. Because our coupling tensor has a cubic singularity, the phase-locking strength $K$ explodes non-linearly. It completely overpowers the desynchronizing effects of GRT time dilation.

The entire star is violently forced into a rigid, macroscopic quantum attractor basin. To crush the star a single millimeter further, gravity must supply enough mechanical work to overcome the absolute global phase entrainment of the entire unified macro-nucleon network. The collapse cleanly freezes without ever needing non-classical forces.

Renders and the Superfluid Decoupling Paradox

We wrote a vectorized Python engine to simulate this lattice and project the phase velocity variance across 10 concentric layers onto a 1D terminal map [Core --------> Surface].

When we run the simulation, the star handles the 60 Hz GRT time-dilation gradient through high-energy relativistic phase-sloshing (rendered as ~). But at Step 12, we trigger a Global Crust Snap—a starquake that mechanically severs the coupling across 168 nodes in the outermost shell.

You would expect chaos, right? Instead, the output map gives us this:

			
Step 11 | R: 0.0164     |  59.22     | [~~~~~~~~~~]
[GLOBAL CRUST SNAP] The entire outer layer has fractured! (168 nodes broken)
Step 12 | R: 0.0407     |  60.28     | [~~~~~~~~==]
Step 13 | R: 0.0277     |  59.16     | [~~~~~~~~==]

The outer shell instantly locks into a quiet, perfectly uniform state (==)!

Note: The bracketed output [Core --------> Surface] slices the star’s crust into 10 concentric layers, tracking phase velocity variance using three quick character markers: (1) = : Synchronized base. Perfect local phase-locking acting as a unified clock; (2) ~ : Relativistic sloshing. Normal active phase-waves managing the steep GRT gradient; (3) * : Topological avalanche. Catastrophic coupling failure and high-velocity phase chaos.

This is a gorgeous mathematical paradox. Because those fractured nodes sit in a thin concentric shell at an equal distance from the origin, they share the exact same GRT time-dilation factor. The moment the fracture cuts them loose from the internal, phase-twisted torques of the core, they drop their phase friction entirely. They surrender completely to their shared background metric clock, ticking at identical speeds. Their local velocity variance collapses to zero.

This gives us a first-principles computational analog for superfluid crust decoupling. Mechanics, geometry, and electrodynamics explain why layers slip past each other without friction.

Check out the Code

Of course, a toy model has limitations (like grid-binning symmetry and phase-frustration simplifications), which I have openly detailed in the paper’s Annex. But as a proof-of-concept, it shows that the RealQM framework scales beautifully from the smallest structures in the universe to the largest, densest clusters in deep space.

In any case, you can judge for yourself: the short working paper (4-5 pages only) is live on ResearchGate, and you can clone the GitHub repository, set the random seed, and watch the starquake decouple the outer atmosphere yourself.

Let me know your thoughts in the comments!

Post Scriptum on the Neutron Model itself:

— After wrapping up the neutron star paper and publishing it, I submitted the whole RealQM particle model to DeepSeek for a final sanity check. It singled out something that has bedevilled all recent papers, indeed: how to explain the neutron’s coherence fraction — or rather, its decoherence — from first principles?

The answer turned out to be surprisingly elegant. The neutron is not a mysterious object with a “magic number” $η = 0.676$ . It might just be a simple two-shell oscillator — an outer positive shell and an inner negative shell — whose geometry is determined by a variational principle. The free neutron minimizes its electromagnetic self-energy, which naturally places the inner shell at 0.478 fm and the outer shell at 0.841 fm. That ratio gives exactly $η = 0.676$ .

When a proton comes along, its field tilts the energy landscape, pulling the inner shell into full phase alignment. The energy released during that transition is the deuteron’s binding energy: 2.22 MeV, matching experiment to 0.3%.

No free parameters. No fitted constants. Just geometry, electrodynamics, and the variational principle. DeepSeek did the math; I provided the physical intuition. Gemini helped with visuals and critique. The result is a complete geometric model of the neutron — from its metastability to its binding energy.

The paper is now up on ResearchGate: A Variational Principle for Neutron Coherence. It closes a loop I’ve been chasing for months.

And yes — this is what a Saturday morning looks like when you’re deep in the RealQM rabbit hole: the morning becomes an afternoon—but I will not let it become an evening, too. 🙂

🧭 The Final Arc: Three Papers, One Question

Over the past years, I’ve been working — quietly but persistently — on a set of papers that circle one simple, impossible question:
What is the Universe really made of?

Not in the language of metaphors. Not in speculative fields.
But in terms of geometry, charge, and the strange clarity of equations that actually work.

Here are the three pieces of that arc:

🌀 1. Radial Genesis
Radial Genesis: A Finite Universe with Emergent Spacetime Geometry
This is the cosmological capstone. It presents the idea that space is not a stage, but an outcome — generated radially by mass–energy events, limited by time and light. It’s an intuitive, equation-free narrative grounded in general relativity and Occam’s Razor.

⚛️ 2. Lectures on Physics: On General Relativity (2)
Lectures on GRT (2)
This one is for the mathematically inclined. It builds from the ground up: tensors, geodesics, curvature. If Radial Genesis is the metaphor, this is the machinery. Co-written with AI, but line by line, and verified by hand.

🌑 3. The Vanishing Charge
The Vanishing Charge: What Happens in Matter–Antimatter Annihilation?
This paper is where the mystery remains. It presents two possible views of annihilation:
(1) as a collapse of field geometry into free radiation,
(2) or as the erasure of charge — with geometry as the by-product.
We didn’t choose between them. We just asked the question honestly.

Why This Arc Matters

These three papers don’t offer a Theory of Everything. But they do something that matters more right now:
They strip away the fog — the inflation of terms, the myth of complexity for complexity’s sake — and try to draw what is already known in clearer, more beautiful lines.

This is not a simulation of thinking.
This is thinking — with AI as a partner, not a prophet.

So if you’re tired of being told that the Universe is beyond your grasp…
Start here.
You might find that it isn’t.

—JL

🌀 Radial Genesis: A Universe That Grows from Within

What if space isn’t a container — but a consequence?

That’s the question I explore in my latest paper, Radial Genesis: A Finite Universe with Emergent Spacetime Geometry, now available on ResearchGate.

The core idea is surprisingly simple — and deeply rooted in general relativity: matter and energy don’t just move through space. They define it. Every object with mass–energy generates its own curved, local geometry. If we take that seriously, then maybe the Universe itself isn’t expanding into something. Maybe it’s unfolding from within — one energy event, one radial patch of space at a time.

This new paper builds on two earlier lecture-style essays on general relativity. But unlike those, this one has no equations — just plain language and geometric reasoning. It’s written for thinkers, not specialists. And yes, co-written with GPT-4 again — in what I call a “creative but critical spirit.”

We also explore:

Why the Universe might be finite and still expanding;
How a mirror version of electromagnetism could explain dark matter;
Why the so-called cosmological constant may be a placeholder for our conceptual gaps;
And whether our cosmos is just one region in a greater, radially unfolding whole — with no center, and no edge.

If you like cosmology grounded in Einstein, Dirac, and Feynman — but with fresh eyes and minimal metaphysics — this one’s for you.

🧠 Read it here:
Radial Genesis on ResearchGate

👁️‍🗨️ For context, you might also want to check out the earlier lecture papers:

—JL

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. 🙂