Determinant-Closed Unification from a Capacity-Constrained Dirac–Λ System: A Record-Admissible Forcing of the Standard Model
Authors: Jeremy, Rodgers
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Role: Determinant-Closed Unification from a Capacity-Constrained Dirac–Λ System
Supported Problems
Standard Model of Particle Physics
Law-level derivation of the Standard Model gauge group, fermion content, anomaly cancellation, and family multiplicity from Tier–0 closure and admissibility.
The Yukawa Gap in the Spectral Action
The Chamseddine–Connes spectral action determines the bosonic Standard Model sector but leaves the Yukawa sector unconstrained. In the Dirac–Λ framework, this gap is closed by the Dirichlet-to-Neumann Osterwalder–Schrader boundary operator K_OS together with the capacity inequality, which supplies the missing boundary-channel constraint on the internal Dirac operator and its admissible couplings.
Grand Unified Theory
Structural derivation of an admissible grand unified gauge group via determinant closure and law-level rigidity.