Paper II — Geometry Forces Physics

v1.01 metadata release of the Standard Model gauge-group derivation on the A=1 lattice, deposited to Zenodo on 2026-05-19.

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Paper II at v1.01 — a metadata-only release of the Lie-algebra study characterising the Standard Model gauge group SU(3) × SU(2) × U(1) as a factor-product projection of the A=1 lattice’s symmetry algebra: containment, not equality.
Author

Jack D. Menendez

Published

May 19, 2026

Paper II (Geometry Forces Physics) is now at v1.01 on Zenodo with DOI 10.5281/zenodo.20292158. The prior version (v1.0) remains citable at 10.5281/zenodo.20240736.

Paper II takes up the central open conjecture of Paper I (Eq. (137)): whether the automorphism algebra of the bipartite octahedral causal lattice under \mathcal{A}=1 is the Standard Model gauge group plus Lorentz. The result is a precise characterisation rather than a clean identity — containment holds, exact equality does not. The SM gauge algebra \mathfrak{su}(3) \oplus \mathfrak{su}(2) \oplus \mathfrak{u}(1) is recovered as the factor-product projection of the lattice’s 71-dimensional discrete-Hermitian centralizer, the non-abelian color algebra is dynamically generated from the \mathbb{C}^3 color memory, and the framework yields a sharp, falsifiable coupling-ratio prediction g_3^2 / g_2^2 = 3/2 at the lattice scale. Chirality and CP violation are shown explicitly not derivable from the discrete substrate. Every claim is symbolically verified by sympy scripts and tagged in the audit table on the landing page.

v1.01 is a metadata-only point release (v1.0 was deposited 2026-05-16). It aligns the title-page author block with the project domain geometryinducedphysics.org and bumps the data-availability footnote and CITATION.cff to v1.01 with the matching DOI. No scientific content changed: the paper body, sections, appendices, audit table, experiments, scripts, and bibliography are byte-for-byte identical to v1.0 — the v1.01 numbering (rather than v1.1) signals the patch scale, and parallels Paper I’s own metadata release.

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