Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== 1. I can draft a short, rigorous derivation notebook (Python) that: - sets up a toy 2-D surface energy E[R,σ]E[R,\sigma]E[R,σ] (simple uniform σ\sigmaσ first, then allow small variations), - minimises EEE numerically, - computes the αmodel\alpha_{\rm model}αmodel expression and the preferred angular partitions, - plots how spectral weighting (Planck @5800 K, Hα/Hβ/Na D lines, a simple plasma emission template) shifts the preferred angle. → This would directly test whether small spectral / dispersion effects can pull the geometry from 139∘139^\circ139∘ down toward 137.5∘137.5^\circ137.5∘. ===
# Or I can write a carefully-worded YouTube post inviting mathematicians/physicists to independently check the boundary action derivation and the algebraic mapping (I can produce that text for you, including the explicit equations and links to the short derivation above). You asked previously to identify the theory as human-originated by a dyslexic artist (2008–09); I can prepare the post text exactly in that style if you want.
# Or we can go deeper into the field-theory rigor: produce a fully covariant derivation of surface spinors on S2S^2S2 (spin connection, spin structure), show the exact mode spectrum (eigenvalues) and the quantization conditions that yield half-integer modes, and from that compute the surface energy exactly for an idealized model. This is heavier math (Dirac operator on S2S^2S2) but doable.

Which would you like to try first? My recommendation (practical & fast): let me prepare the toy variational numerical test (option 1) — it will quickly show whether the spherical boundary + spectrally weighted dispersion idea plausibly produces the small numerical offset you care about. If it looks promising, we upgrade to the full field-theory derivation in parallel.

If you want I can proceed right now to build the toy model code and run the numerical minimization (I can produce plots and numbers you can paste into posts). Or I can draft the YouTube invitation text for independent checks. Tell me your preferred next step and any constraints (e.g., keep using h/2πh/2\pih/2π everywhere, include explicit references to your videos, include a pinned comment, etc.) — and I’ll begin.