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.
Supporting Papers
The Coupled Dirac–Λ Dynamical System: Unified Operator Equations for a Capacity-Constrained Spectral Action Framework
<p>This paper formulates the coupled Dirac–<span><span>Λ\Lambda</span><span><span><span>Λ</span></sp
Generation Forcing in the Capacity-Constrained Dirac–Lambda Framework: The Capacity Box Construction
<p>This paper establishes the capacity-box mechanism that forces generation structure within the coupled Dirac–<sp
KOS as the Osterwalder–Schrader Boundary Operator of the Standard Model Spectral Triple
<p>This paper identifies the structural boundary operator underlying the coupled Dirac-Lambda framework as KOS, the Diri
The Fermion Mass Prediction Problem in the Coupled Dirac–Lambda Framework: Balance Equations and Multi-Scale KKT Forcing
<p>This paper reduces the fermion mass determination problem in the coupled Dirac-Lambda framework to a finite-dimension
Structural Closure of the Coupled Dirac–Lambda Framework: Global Mass Determination and Scheme Rigidity
<p>This paper establishes full structural closure of the coupled Dirac-Lambda framework by resolving the two remaining o
Geometric Fixed-Point Existence and Spectral Rigidity in the Coupled Dirac–Lambda System
<p>This paper completes the geometric foundation of the coupled Dirac-Lambda framework by resolving the remaining struct
Determinant-Closed Unification from a Capacity-Constrained Dirac–Λ System: A Record-Admissible Forcing of the Standard Model
<p>This work presents a determinant-closed unification framework derived from a coupled Dirac–Λ system subj
Determinant-Constrained Forcing of the Standard Model from a Capacity-Coupled Dirac–Λ System
<p>This paper presents a Tier-1 derivation of the Standard Model internal gauge and matter structure from a single coupl
Structural Vanishing of the Strong CP Phase in the Coupled Dirac–Λ Framework: A Record-Admissibility and Positivity-Based Resolution
<p>The strong CP problem asks why the QCD vacuum angle theta satisfies |theta| < 10^-10 despite being a free paramete
No-Go Theorem for Exact Yukawa Prediction in the Capacity-Coupled Dirac–Lambda Framework
<p>This paper establishes a Tier-1 no-go theorem inside the capacity-coupled Dirac–Lambda framework: exact Yukawa