The Fermion Mass Prediction Problem in the Coupled Dirac–Lambda Framework: Balance Equations and Multi-Scale KKT Forcing
Authors: Jeremy, Rodgers
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Role: The Fermion Mass Prediction Problem in the Coupled Dirac–Lambda Framework: Balance Equations and Multi-Scale KKT Forcing
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.
Exact Yukawa Prediction
An across-the-board no-go result: within the capacity-coupled Dirac–Λ realization, exact Yukawa prediction is structurally obstructed by admissibility and implementability constraints, preventing a universal exact determination of Yukawa parameters as rigid outputs of the framework.
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.