Gauge Group Structure Theorem, Direct Product Theorem, and the Three-Generation Proposition

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1The Demotion of Gauge Field Theory, the Theoretical Reconstruction of the Standard Model, and the Five-Layer Axiomatization Structure2026
2. 2From Regime Boundaries to Chemical Gauge Group: The Inevitable Emergence of the Periodic Law and the Cross-Disciplinary Unification of the Factor Hierarchy Law ——Derivation of the Chemical Gauge Group Theorem, the Chemical Counterpart of the Higgs Mechanism, and the Establishment of the Five-Layer Axiomatic Structure (III)2026
3. 3One Crossing, Three Phases: A Structural Derivation of the Standard Model Gauge Group from the Bridge Equation2026
4. 4Deriving the Standard Model Gauge Group from a Single Category-Theoretic Axiom2026
5. 5Gauge Structure of the Standard Model from Torsion Phase Geometry2026