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May 26, 20260 citationsOpen Access

A Frozen K/M/C FEM Robustness Audit for Qualitative Zeeman-like, Stark-like, and 21 cm/Hyperfine-like Responses in the MMU v6.3 Framework

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JWJurgen Wollbold

Key Points

  • The aim is to assess the stability of K/M/C orbital FEM package in producing consistent qualitative response patterns without retuning parameters.
  • Conducted a robustness audit on K/M/C finite-element model in the MMU v6.3 framework.
  • Tested orbital mode families using three finite source models: compact, tetrahedral, and spherical.
  • Executed simulations across grid resolutions of 17, 21, and 25 at L = 8.0.
  • All nine source/mesh configurations successfully passed structural gates for orbital, Zeeman-like, Stark-like, and hyperfine-like responses.
  • Demonstrated stability in response patterns under fixed conditions, but did not validate physical interpretations or absolute frequencies.

Abstract

A frozen K/M/C finite-element robustness audit for qualitative Zeeman-like, Stark-like, and 21 cm/hyperfine-like response patterns in the MMU v6.3 framework. This OSF package documents a structural WIP simulation, not an empirical prediction. The audit tests whether one fixed K/M/C orbital FEM package can produce stable orbital-like mode families and qualitative perturbation responses without retuning K, M, or C. The internal state is restricted to w = (w2, w3, w4), with w1 used only as projected readout. The reported run sweeps three finite source models — three-cell compact, tetrahedral symmetric, and spherical one-cell — over grid resolutions n = 17, 21, 25 at L = 8.0. All nine declared source/mesh cases pass the base orbital, Zeeman-like, Stark-like, and hyperfine-like structural gates. The package includes the single-file Python runner, generated reports, methods and limitations files, CSV outputs, publication plots, and orbital visualizations. The result supports a finite-source K/M/C response-class interpretation. It does not prove MMU, hydrogen, the physical proton, QED/QCD replacement, or absolute Zeeman, Stark, or 21 cm frequencies.

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Cite This Study

Jurgen Wollbold (2026) studied this question.

synapsesocial.com/papers/6a153950b5d9c58d83e8cb71https://doi.org/10.17605/osf.io/p4kva
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