Structural Vanishing of the Strong CP Phase in the Coupled Dirac–Λ Framework: A Record-Admissibility and Positivity-Based Resolution
Authors: Jeremy, Rodgers
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Role: Structural Vanishing of the Strong CP Phase in the Coupled Dirac–Λ Framework
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.
Strong CP Problem
Structural vanishing of the QCD vacuum angle θ: within the coupled Dirac–Λ Tier-1 realization, θ is not a free tunable parameter in admissible stationary sectors and is forced to vanish (or be rendered physically inactive) by record-admissibility and positivity constraints.
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.