A nucleus is a tiny ball of positively charged protons packed together. Like charges repel — fiercely, at these distances. So the first question of nuclear physics is simply: why doesn't the nucleus blow itself apart? The textbook answer, since the 1930s, is a new fundamental force — the strong nuclear force — that acts only at very short range and glues the protons together against their electric repulsion.
Before the neutron was discovered in 1932, physicists pictured the nucleus differently: as a mix of protons and electrons. The negatively charged electrons, sitting among the protons, would electrically screen the proton–proton repulsion and pull the whole thing together — no new force needed. This picture was dropped once the neutron arrived and the strong force took its place.
RealNucleus revisits it, with one modern twist. It treats a neutron as a proton bound to an electron, and lets protons and electrons be comparable in size (rather than the electron being ~2000× lighter, as in an atom). The result is a nucleus built from two interpenetrating clouds: electrons on the inside as the glue, protons on the outside, wrapping one another — held together by nothing but Coulomb's law.
Solved as a 3D continuum-mechanics problem (the same method used elsewhere for atoms and molecules), the pure-Coulomb model reproduces the actual numbers of nuclear physics:
Reproducing binding energies is not the same as overturning a century of physics, and the honest scope matters more than the headline:
The flip side deserves to be spelled out, because it is large. The strong and weak forces were not built only to bind nuclei; they now account for a vast range of directly measured phenomena, and this Coulomb model speaks to almost none of it:
So the claim is deliberately narrow: nuclear binding energies alone do not force a new force — not that the strong and weak interactions are unnecessary for the physics they were later found to describe.
There is a fair historical point in the background. The strong force was introduced (Yukawa, 1935) for exactly this problem — to hold the nucleus together — and then grew into a framework that explains far more. That breadth cuts two ways: it is the theory's great success, and also a standing reason to keep asking which parts are forced by data and which are scaffolding. This Coulomb model contributes one small data point to that question — that the original motivation, binding, can be met by geometry and electricity — while leaving the rest of the framework's substantial evidence (the quarks, the particle spectrum, the weak-decay and neutrino data above) entirely untouched. It sharpens a question; it does not close one.
The precise question — and Occam's razor. The point is not that the strong force cannot exist, or that no role can be found for it. It is narrower and sharper: the strong force's founding justification was the stability of nuclei. If ordinary Coulomb interaction can take that role, then — by Occam's razor — the original reason to introduce a new fundamental force simply vanishes. The force would then have to stand entirely on its later evidence (the quark and collider data above), which is a separate case that this nuclear result does not address either way. RealNucleus supplies exactly the missing head-to-head: binding and saturation, reproduced from Coulomb geometry alone.
This bears on why the proton–electron picture was abandoned in 1932 — not for failing on binding, but for two objections that predate the strong force. The first was Heisenberg's: a light electron confined to nuclear size would, by the uncertainty principle, need impossibly large kinetic energy. This objection does not touch RealNucleus. The model is deterministic — it computes the confinement (gradient) energy directly, not through a probabilistic uncertainty relation — and, decisively, it treats the nuclear electron at nuclear-scale mass rather than the light atomic value, so its confinement energy is proton-scale, not prohibitive. The mass in the kinetic term, not any appeal to uncertainty, is what removes the barrier. The second objection, the spin–statistics anomaly (nuclei such as nitrogen-14 have the wrong spin if their electrons are counted as spin-½ constituents), also does not touch RealQM: the argument presumes a fixed roster of spin-½ point fermions whose spins add, whereas RealQM has no spin variable at all — exclusion is geometric, and a nucleus's angular momentum arises from the spatial arrangement of its charge domains, not from counting constituent spins. Both of the objections that first opened the door to the strong force are thus framework-internal — valid inside standard quantum mechanics' spin-½-point-particle picture, not binding on a deterministic, geometric, nuclear-scale-mass model — and both dissolve.
What remains after that is not an objection but a positive requirement: nuclei really do have measured charge radii, magic numbers, excited-state spectra, and spins and magnetic moments, and a complete Coulomb model must eventually reproduce these from spatial structure — the nuclear spins and moments arising from the geometry of the charge domains rather than from intrinsic spin. RealNucleus has not yet shown this, and it is the honest open frontier. So the scorecard is clean: Coulomb geometry meets the original binding motivation and dissolves both founding objections that first justified the strong force — by Occam's razor removing its founding role — while the positive nuclear observables remain to be computed, each decidable by calculation, not by authority.
How large a step is a new force? It is worth weighing what introducing the strong force meant. Classical physics rested on two forces — gravitation and the Coulomb (electromagnetic) force — and between them they carried essentially all of physics and chemistry. Adding a third fundamental force (and soon a fourth, the weak) was not a small adjustment; it was a major enlargement of the basic ontology of nature, on the same footing as gravity and electromagnetism themselves. A step that large is worth measuring against the alternative it displaced — here, the possibility that the original problem it was invented for, nuclear binding, might be met without it.
There is also a fair methodological caution, familiar from the philosophy of science. A powerful framework tends to generate its own research programme: it motivates new instruments, the instruments return results, and the results are naturally read through the very framework that motivated them. Whether a given turn of that loop is discovery or self-reinforcing construction is not always easy to separate, and it is a legitimate question to keep putting to any dominant theory. The same question is live today around dark matter and dark energy — named for observations current theory does not explain, and used to motivate ever-larger experiments, with an ongoing and respectable debate over whether they are real substances or signs that the underlying theory needs revision. None of this shows the strong force is wrong: it made genuine, risky predictions that were later confirmed. It is, rather, a reason to prize the rare place where a sweeping theoretical commitment can be checked against a concrete, computable alternative — which, for nuclear binding, is exactly what a pure-Coulomb model puts on the table.
Two things. First, the same parameter-free Coulomb machinery that describes atoms, molecules, hydrogen bonds, and protein folding also accounts for the nuclear binding curve — one framework, from chemistry to the nucleus, without switching physics. Second, it revives a genuine historical question: how much of what we attribute to a separate strong force is really geometry and electricity? The model does not answer that with certainty — but it poses it concretely, with runnable numbers, rather than as philosophy.
See it run. The nuclear configurations — the alpha particle, D+D fusion, the multi-shell packing — are live, re-runnable simulations in the Gallery. The full technical account is in the RealNucleus article and the RealQM flagship (§ RealNucleus).