What does this research mean for the field?

The Standard Model Lagrangian mathematically originates from the continuum limit of a single lattice action on the truncated octahedron face graph, which uniquely enables the forward derivation of fundamental constants such as the strong coupling constant, neutrino mass, and baryon asymmetry. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To derive the Standard Model Lagrangian as the continuum limit of a single lattice action on a specific geometric graph.

April 22, 2026Open Access

The Standard Model from One Matrix: S = ψ†LTψ

Key Points

To derive the Standard Model Lagrangian as the continuum limit of a single lattice action on a specific geometric graph.
Utilization of the truncated octahedron face graph for the lattice action.
Proof of uniqueness among all Fedorov parallelohedra.
Modification and update of previous sections for clarity and consistency with related works.
Derivation of key parameters such as coupling constant α_s and neutrino mass m₃.
Updated summary table reflecting modifications in the m₃ derivation.
Establishment of a conjecture regarding the baryon asymmetry η_B with supporting evidence.

Abstract

The Standard Model Lagrangian derived as the continuum limit of a single lattice action on the truncated octahedron face graph. Forward derivations of αₛ, neutrino mass m₃, and baryon asymmetry ηB. Exhaustive uniqueness proof among all Fedorov parallelohedra. Changes in this version: - §5. 2 (m₃ derivation) rewritten to cite Paper #72 (DOI: 10. 5281/zenodo. 19658759), with explicit status labels: T72. 1 / T72. 2 / T72. 3a are theorems verified by V1–V5 and V8; T72. 3b is a conjecture with V10 orbit-restricted support; T72. 4 is the best-match primitive triple in the principled search space (V11, 12, 800-triple enumeration). - §7 Summary Table m₃ row updated to match §5. 2. - Abstract tightened to reflect Paper #72 outcome and the withdrawn "60+ observables" headline. - Reference 9 updated to Paper #72 DOI. - Status line updated; "of 63" → "of 72" tail.

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