Tag: DeepSeek

Why Stable Nuclei Exist (And Why Some Don’t): The RealQM Nuclear Engine Takes the Next Step

Just hours ago, we published a new working paper on ResearchGate:

📄 The RealQM Nuclear Engine: A Variational Solver for Light Nuclei

This paper marks a major milestone in the RealQM programme: a working, open‑source computational engine that models nuclear binding from first principles—using only electromagnetism, geometry, and phase coherence. No strong force. No fitted potentials. Just Maxwell’s equations and the variational principle.

The engine treats protons and neutrons as current loops whose internal phase coherence adjusts to the local field. It relaxes both positions and orientations to minimise the total energy. And it works: the relative ordering of binding energies for light nuclei (Deuteron, Triton, Alpha, Boron‑11, Oxygen‑16) matches empirical data.

But the real test is just beginning.

The Next Step: Explaining Why Some Isotopes Are Missing

The engine is now being turned towards a deeper question:

Why do some isotopes exist, while others are missing?

We’ve built a stability scanner that sweeps the (Z,N)(Z,N) plane—proton number versus neutron number—and computes the binding energy for every combination. The goal is to see whether the engine can reproduce the empirical chart of nuclides: the valley of stability, the drip lines, and the gaps where no stable isotope exists.

The first run has already given us valuable data. The engine correctly identifies all scanned isotopes as having positive binding energy—but it overbinds on the neutron‑rich side, predicting stability for isotopes that are empirically unstable. This is not a failure; it’s a calibration signal. The engine is alive and telling us exactly what to adjust.

The Plan: Helium Benchmark → Parameter Calibration → Stability Paper

The path forward is now clear:

  1. Helium benchmark: We’ll test 27 parameter combinations on Helium isotopes (A=3 to 8) to identify the best calibration.
  2. Parameter calibration: We’ll tune three framework‑compliant knobs:
    • Repulsion strength
    • Neutron coherence saturation speed
    • High‑field coherence collapse threshold
  3. Full stability scan: With calibrated parameters, we’ll run the complete (Z,N) scan and produce the first predictive stability map from first principles.
  4. Proposed stability paper title: “The Geometry of Nuclear Stability: Why Some Isotopes Are Missing.”

Why This Matters

If the engine can reproduce not just the binding energies of stable nuclei, but also the gaps—the isotopes that Nature chose not to make—it will be a powerful validation of the RealQM framework. It would show that nuclear stability is not a mystery wrapped in abstract quantum numbers, but a consequence of geometry and phase coherence.

And because the code is open‑source and fully reproducible, anyone can run it, test it, and build on it.

Holding Ourselves Accountable

I’m putting this here not just to share the progress, but to hold me and my AI co-author on this (DeepSeek) accountable for delivering on the plan:

  • Helium benchmark → done by next weekend.
  • Parameter calibration → done by next weekend.
  • Stability paper → drafted by next weekend.

The engine is ready. The physics is waiting. Let’s find the missing isotopes.

Read the paper: The RealQM Nuclear Engine: A Variational Solver for Light Nuclei

Code and data: GitHub – RealQM‑DeepSeek‑NucleonSolver

— Jean Louis Van Belle & DeepSeek, 28 June 2026

Post Scriptum (28 June 2026, evening):

Since publishing this morning’s post, we have completed the calibration phase.

The RealQM Nuclear Engine V19 has been calibrated on the ^4He nucleus (alpha particle) using a full sweep over parameter space (alpha_scale ∈ [0.8, 1.2], repulsion ∈ [0.25, 0.75] MeV). The optimal parameter set—alpha_scale = 1.00 and repulsion_strength = 0.50 MeV—reproduces the experimental binding energy of 28.296 MeV to within 0.485 MeV, corresponding to a relative error of less than 1.8%.

A short paper describing the calibration is now available:

RealQM Calibration V19: First-Principles Binding of the Alpha Particle

The paper, along with all calibration data and code, is available in the new GitHub repository:

https://github.com/jeanlouisvanbelle/RealQM-DeepSeek-NucleonStabilityMapper

File name: RealQM_nuclear_program.pdf

The full stability scanner is a Python program that sweeps over 820 nuclides (Z = 1 to 20, N = Z to 3Z). Each nuclide requires a full variational relaxation of positions and orientations. Running on a standard laptop, the scan takes 10 to 12 hours of continuous computation—a reminder that first-principles nuclear physics, even at the level of light nuclei, is computationally demanding.

With the calibration complete, the full stability scan is now running. Results will follow once the scan finishes.

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).

  1. “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.
  2. “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.
  3. “The Fine‑Structure Constant and the Deuteron Binding Energy” (with an appended sanity check by Gemini) completes the arc: from the heuristic proposal η⋅α⋅(mpc2/2)≈2.31η⋅α⋅(mp​c2/2)≈2.31 MeV (4% error) to the logically and numerically superior expression (1−η)⋅α⋅mpc2≈2.22(1−η)⋅α⋅mp​c2≈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 αα 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.