Beyond the Textbook: Why You (Yes, You!) Can Help Rewrite Nuclear Physics

The standard textbook story of the atomic nucleus feels complete. We are told nucleons are bound by a complex “strong force” inside abstract quantum shells. But if you look under the hood, this narrative relies on highly tuned parameters and force models that feel more like mathematical patchwork than fundamental truth.

Recently, a quiet revolution has been brewing over at readingfeynman.org. We have been documenting a clean alternative: the RealQM synchronization framework.

We just launched the next major phase of this initiative on ResearchGate: The RealQM Nuclear Program: Strategic Architecture.

The most exciting part? This program is designed for curious minds, independent thinkers, and amateur physicists to actively co-create.

Building on a Rock-Solid Foundation

This new architecture did not appear out of thin air. It is the logical next step in a rigorous, bottom-up derivation of matter that we have been tracking across previous papers:

The Single-Particle Baseline: We began by modeling the internal clockwork of the electron, proton, and neutron.
The Deuteron Breakthrough: We scaled this to the simplest nuclear bond, treating the deuteron as a two-body phase-locked system.

Before moving a single step further, these solutions were subjected to intense stress-testing. We pushed the models to their limits to see if they could truly resolve longstanding sub-nuclear anomalies. The framework held firm. The deuteron’s binding energy was derived with an error of less than 0.3%.

With that baseline verified, we knew the foundation was secure enough to build a bridge toward the rest of the periodic table.

No “New Physics” Required

When people try to solve mysteries in modern physics, they usually invent a new hypothetical particle, an undiscovered force, or a hidden dimension.

RealQM does the exact opposite. This is not about inventing new physics.

Instead, it relies entirely on physical quantities we already know, measure, and accept, and those are – quite simply – the physical constants as defined in the 2019 revision of SI units combined with Maxwell’s equations (electromagnetism as the only force), Einstein’s mass-energy-equivalance relation (incorporating relativity and giving rise to a ‘mass-without-mass’ explanation), and the Planck-Einstein law (embodying the quantization of Nature).

By looking at these established quantities through the lens of non-linear network dynamics, complex forces disappear. They are replaced by a simple rule: nucleons bind because their internal electromagnetic clocks sync up.

From Helium to the Magic Numbers

Our latest paper takes this stress-tested deuteron model and applies it directly to Helium-3 and Helium-4.

Helium-4 emerges as a flawless, symmetric four-body network. Its four internal clocks lock together perfectly, quenching all phase drift in a tiny fraction of a second. This perfect geometric harmony explains its massive binding energy.
Helium-3 forms an asymmetric triad. Because three nodes cannot pack with the same perfect symmetry, it suffers from structural frustration. This leaves a residual phase drift, explaining why it is much less stable than its heavier sibling.

This comparative look proves something profound: nuclear stability is governed by geometric network capacities, not abstract quantum shells. This gives us a direct roadmap to explain all of nuclear physics’ famous “magic numbers” (2, 8, 20, 28…) as deterministic, packed geometric shapes.

A Call to Action for Independent Thinkers

Rome wasn’t built in a day, and a universal theory of the nucleus cannot be written by a single person. This is where you come in.

The RealQM program is deliberately open and accessible. Because it discards dense quantum abstractions in favor of spatial geometry and network resonance, you don’t need a supercomputer to explore its next steps. You just need a passion for tracking patterns and structural consistency.

As we map the next milestones, there are two fascinating, competing pathways that need to be explored and stress-tested side-by-side:

The Cluster Pathway (Lithium): How do extra nucleons arrange themselves as “satellite nodes” orbiting a rigid Helium-4 core?
The Monolithic Pathway (Oxygen-16): How do larger numbers of nucleons pack directly into higher-order geometric shapes?

We need independent minds to look at these two paths, test them for mathematical consistency, and find where they harmonize or conflict.

You don’t need permission from an academic institution to think deeply about the universe. Read the Strategic Architecture on ResearchGate, look over the helium matrices, and start sketching the geometry of the next elements yourself.

The baseline is locked in. The roadmap is clear. The next breakthrough could easily be yours.

Revisiting the Neutron and Deuteron puzzle

My previous note on the proton model utilized radically simplified semi-classical reasoning to recover empirical metrics without introducing free parameters.

This new paper scales that exact framework up into the multi-body nuclear domain, treating the neutron and deuteron not as static configurations bound by unobservable “glue” forces, but as an elegant, non-linear synchronization problem involving coupled electromagnetic phase clocks.

Oddly enough, by shifting the ontology away from isolated particles toward relational, phase-locked coherence, the math naturally operates within realistic nuclear regimes—generating an internal neutron magnetic radius of 0.81-0.93 fm, a finite spatial interaction boundary of about 2 fm, and a near-field locking energy of about 2 MeV. These values all closely match experimentally observed ranges.

We, therefore, think this is quite significant. If anything, it shows, perhaps, that progress sometimes does not come from adding more parameters to describe some ‘black box’, but from acknowledging that stable matter may correspond to highly constrained, coherent oscillatory organization.

Read the paper here: “Relational Stability and Synchronization Geometry in the Neutron–Deuteron System”

Post Scriptum (23 May 2026):
A subsequent multi‑stage sanity check, involving adversarial cross‑checking between DeepSeek, ChatGPT, and Google Gemini, resulted in three companion pieces that should be read alongside the main paper (click on ‘public files’ on the above‑referenced RG page).

“On the Factor 2 in the Electron’s Ring‑Current Model: A Clarification of Scales” resolves a long‑standing confusion about the electron’s Compton radius and the equipartition of energy, showing that the model is internally consistent.
“On the Binding Energy of the Deuteron: A Correction and Reinterpretation” corrects a numerical error in the static magnetic dipole‑dipole calculation (the correct value is ~15 keV, not 2.2 MeV) and reinterprets the deuteron binding energy as a non‑linear phase‑locking energy.
“The Fine‑Structure Constant and the Deuteron Binding Energy” (with an appended sanity check by Gemini) completes the arc: from the heuristic proposal $η \cdot α \cdot (m_{p} c^{2} / 2) \approx 2.31$ η⋅α⋅(mpc2/2)≈2.31 MeV (4% error) to the logically and numerically superior expression $(1 - η) \cdot α \cdot m_{p} c^{2} \approx 2.22$ (1−η)⋅α⋅mpc2≈2.22 MeV (error <0.3%), using only the incoherent neutron deficit $(1 - η)$ (1−η) and the full proton rest energy. The fine‑structure constant $α$ α enters naturally as the electromagnetic coupling strength.

All notes are available on the ResearchGate page. I thank DeepSeek for its careful analytical assistance and for helping to turn an initial overreach into a refined, honest, and testable hypothesis.

The electromagnetic deuteron model

In my ‘signing off’ post, I wrote I had enough of physics but that my last(?) ambition was to “contribute to an intuitive, realist and mathematically correct model of the deuteron nucleus.” Well… The paper is there. And I am extremely pleased with the result. Thank you, Mr. Meulenberg. You sure have good intuition.

I took the opportunity to revisit Yukawa’s nuclear potential and demolish his modeling of a new nuclear force without a charge to act on. Looking back at the past 100 years of physics history, I now start to think that was the decisive destructive moment in physics: that 1935 paper, which started off all of the hype on virtual particles, quantum field theory, and a nuclear force that could not possibly be electromagnetic plus – totally not done, of course ! – utter disregard for physical dimensions and the physical geometry of fields in 3D space or – taking retardation effects into account – 4D spacetime. Fortunately, we have hope: the 2019 fixing of SI units puts physics firmly back onto the road to reality – or so we hope.

Paolo Di Sia‘s and my paper show one gets very reasonable energy and separation distances for nuclear bonds and inter-nucleon distances when assuming the presence of magnetic and/or electric dipole fields arising from deep electron orbitals. The model shows one of the protons pulling the ‘electron blanket’ from another proton (the neutron) towards its own side so as to create an electric dipole moment. So it is just like a valence electron in a chemical bond. So it is like water, then? Water is a polar molecule but we do not necessarily need to start with polar configurations when trying to expand this model so as to inject some dynamics into it (spherically symmetric orbitals are probably easier to model). Hmm… Perhaps I need to look at the thermodynamical equations for dry versus wet water once again… Phew ! Where to start?

I have no experience – I have very little math, actually – with modeling molecular orbitals. So I should, perhaps, contact a friend from a few years ago now – living in Hawaii and pursuing more spiritual matters too – who did just that long time ago: orbitals using Schroedinger’s wave equation (I think Schroedinger’s equation is relativistically correct – just a misinterpretation of the concept of ‘effective mass’ by the naysayers). What kind of wave equation are we looking at? One that integrates inverse square and inverse cube force field laws arising from charges and the dipole moments they create while moving. [Hey! Perhaps we can relate these inverse square and cube fields to the second- and third-order terms in the binomial development of the relativistic mass formula (see the section on kinetic energy in my paper on one of Feynman’s more original renderings of Maxwell’s equations) but… Well… Probably best to start by seeing how Feynman got those field equations out of Maxwell’s equations. It is a bit buried in his development of the Liénard and Wiechert equations, which are written in terms of the scalar and vector potentials φ and A instead of E and B vectors, but it should all work out.]

If the nuclear force is electromagnetic, then these ‘nuclear orbitals’ should respect the Planck-Einstein relation. So then we can calculate frequencies and radii of orbitals now, right? The use of natural units and imaginary units to represent rotations/orthogonality in space might make calculations easy (B = iE). Indeed, with the 2019 revision of SI units, I might need to re-evaluate the usefulness of natural units (I always stayed away from it because it ‘hides’ the physics in the math as it makes abstraction of their physical dimension).

Hey ! Perhaps we can model everything with quaternions, using imaginary units (i and j) to represent rotations in 3D space so as to ensure consistent application of the appropriate right-hand rules always (special relativity gets added to the mix so we probably need to relate the (ds)² = (dx)² + (dy)² + (dz)² – (dct)² to the modified Hamilton’s q = a + ib + jc – kd expression then). Using vector equations throughout and thinking of h as a vector when using the E = hf and h = pλ Planck-Einstein relation (something with a magnitude and a direction) should do the trick, right? [In case you wonder how we can write f as a vector: angular frequency is a vector too. The Planck-Einstein relation is valid for both linear as well as circular oscillations: see our paper on the interpretation of de Broglie wavelength.]

Oh – and while special relativity is there because of Maxwell’s equation, gravity (general relativity) should be left out of the picture. Why? Because we would like to explain gravity as a residual very-far-field force. And trying to integrate gravity inevitable leads one to analyze particles as ‘black holes.’ Not nice, philosophically speaking. In fact, any 1/rⁿ field inevitably leads one to think of some kind of black hole at the center, which is why thinking of fundamental particles in terms ring currents and dipole moments makes so much sense! [We need nothingness and infinity as mathematical concepts (limits, really) but they cannot possibly represent anything real, right?]

The consistent use of the Planck-Einstein law to model these nuclear electron orbitals should probably involve multiples of h to explain their size and energy: E = nhf rather than E = hf. For example, when calculating the radius of an orbital of a pointlike charge with the energy of a proton, one gets a radius that is only 1/4 of the proton radius (0.21 fm instead of 0.82 fm, approximately). To make the radius fit that of a proton, one has to use the E = 4hf relation. Indeed, for the time being, we should probably continue to reject the idea of using fractions of h to model deep electron orbitals. I also think we should avoid superluminal velocity concepts.

[…]

This post sounds like madness? Yes. And then, no! To be honest, I think of it as one of the better Aha! moments in my life. 🙂

Brussels, 30 December 2020

Post scriptum (1 January 2021): Lots of stuff coming together here ! 2021 will definitely see the Grand Unified Theory of Classical Physics becoming somewhat more real. It looks like Mills is going to make a major addition/correction to his electron orbital modeling work and, hopefully, manage to publish the gist of it in the eminent mainstream Nature journal. That makes a lot of sense: to move from an atom to an analysis of nuclei or complex three-particle systems, one should combine singlet and doublet energy states – if only to avoid reduce three-body problems to two-body problems. 🙂 I still do not buy the fractional use of Planck’s quantum of action, though. Especially now that we got rid of the concept of a separate ‘nuclear’ charge (there is only one charge: the electric charge, and it comes in two ‘colors’): if Planck’s quantum of action is electromagnetic, then it comes in wholes or multiples. No fractions. Fractional powers of distance functions in field or potential formulas are OK, however. 🙂

Neutrons as composite particles and electrons as gluons?

Neutrons as composite particles

In our rather particular conception of the world, we think of photons, electrons, and protons – and neutrinos – as elementary particles. Elementary particles are, obviously, stable: they would not be elementary, otherwise. The difference between photons and neutrinos on the one hand, and electrons, protons, and other matter-particles on the other, is that we think all matter-particles carry charge—even if they are neutral.

Of course, to be neutral, one must combine positive and negative charge: neutral particles can, therefore, not be elementary—unless we accept the quark hypothesis, which we do not like to do (not now, at least). A neutron must, therefore, be an example of a neutral (composite) matter-particle. We know it is unstable outside of the nucleus but its longevity – as compared to other non-stable particles – is quite remarkable: it survives about 15 minutes—for other unstable particles, we usually talk about micro- or nano-seconds, or worse!

Let us explore what the neutron might be—if only to provide some kind of model for analyzing other unstable particle, perhaps. We should first note that the neutron radius is about the same as that of a proton. How do we know this? NIST only gives the rms charge radius for a proton based on the various proton radius measurements. We, therefore, only have a CODATA value for the Compton wavelength for a neutron, which is more or less the same as that for the proton. To be precise, the two values are this:

λ_neutron = 1.31959090581(75)10^-15 m

λ_proton = 1.32140985539(40)×10^-15 m

These values are just mechanical calculations based on the mass or energy of protons and neutrons respectively: the Compton wavelength is, effectively, calculated as λ = h/mc.[1] However, you should, of course, not only rely on CODATA values only: you should google for experiments measuring the size of a neutron directly or indirectly to get an idea of what is going on here.

Let us look at the energies. The neutron’s energy is about 939,565,420 eV. The proton energy is about 938,272,088 eV. Hence, the difference is about 1,293,332 eV. This mass difference, combined with the fact that neutrons spontaneously decay into protons but – conversely – there is no such thing as spontaneous proton decay[2], confirms we are probably justified in thinking that a neutron must, somehow, combine a proton and an electron. The mass of an electron is 0.511 MeV/c², so that is only about 40% of the energy difference, but the kinetic and binding energy could make up for the remainder.[3]

So, yes, we will want to think of a neutron as carrying both positive and negative charge inside. These charges balance each other out (there is no net electric charge) but their respective motion still yields a small magnetic moment, which we think of as some net result from the motion of the positive and negative charge inside.

Let us now move to the next grand idea which emerges here.

Electrons as gluons?

The negative charge inside of a neutron may help to keep the nucleus together. We can, therefore, think of this charge as some kind of nuclear glue. We tentatively explored this idea in a paper: Electrons as gluons? The basic idea is this: the electromagnetic force keeps electrons close to the positively charged nucleus and we should, therefore, not exclude that a similar arrangement of positive and negative charges – but one involving some strong(er) force to explain the difference in scale – might exist within the nucleus.

Nonsense? We don’t think so. Consider this: one never finds a proton pair without one or more neutrons. The main isotope of helium (⁴He), for example, has a nucleus consisting of two protons and two neutrons, while a helium-3 (³He) nucleus consists of two protons and one neutron. When we find a pair of nucleons, like in deuterium (²H), this will always consist of a proton and a neutron. The idea of a negative charge acting as an in-between to keep two positive charges together is, therefore, quite logical. Think of it as the opposite of a positively charged nucleus keeping electrons together in a multi-electron atom.

Does this make sense to you? It does to me, so I’d appreciate any converging or diverging thoughts you might have on this. 🙂

[1] The reader should note that the Compton wavelength and, therefore, the Compton radius is inversely proportional to the mass: a more massive particle is, therefore, associated with a smaller radius. This is somewhat counterintuitive but it is what it is.

[2] None of the experiments (think of the Super-Kamiokande detector here) found any evidence of proton decay so far.

[3] The reader should note that the mass of a proton and an electron add up to less than the mass of a neutron, which is why it is only logical that a neutron should decay into a proton and an electron. Binding energies – think of Feynman’s calculations of the radius of the hydrogen atom, for example – are usually negative.