Information Protection as a Fundamental Principle IV: Electroweak Symmetry Breaking, Baryogenesis, Strong CP, and Regular Black Holes --- Detailed Derivations and Supplementary Calculations

This paper provides the complete technical derivations that underpin the physical results presented in Paper III. We present the explicit construction of the internal graphs, the full calculation of the effective potential coefficients for electroweak symmetry breaking, the graph-theoretic derivation of the sphaleron softening parameter delta = 1/3, the analytical solution of the electroweak transport equations yielding the baryon asymmetry, and a quantitative Page-curve model for the regular black hole core. All calculations are carried out with the globally fixed network parameters (N3, N2, N1) = (18, 9, 3) and ln(chi) approx 11.88 rigorously derived in Paper III. This paper serves as the mathematical physics companion to the conceptual framework of Paper III, focusing exclusively on explicit computations and supplementary derivations not presented in full detail there.