Derivation of the Weinberg Angle from the PDL Axioms: Dephasing Sequencing, Lemma D, and a New Prediction for Δm_iso
Abstract
Document D55 of the Projective Dynamic Logo (PDL) framework. Derives the Weinberg angle θ_W = 19π/119 as an unconditional theorem of axioms C1–C4, without external input from the Standard Model. The derivation identifies θ_W as a dephasing sequencing ratio: the Berry phase accumulated during k₂ = 19 elementary interface steps out of N_total = 119, where k₂ is the second prime leakage cycle index (D51) and N_total is the total asymmetry-distinguishable step count of the proton-electron interface (Lemma D, proved exhaustively). The predicted sin²θ_W = 0.231196 agrees with PDG 2024 at 0.48σ. As a secondary result, combining with the geometric formula yields a new PDL prediction Δm_iso = 2.446 MeV, falsifiable by next-generation lattice QCD. Open Problem OP10 (Weinberg angle) is resolved at the level of θ_W. Accompanied by a Python/Colab verification script with 0 counter-examples over all 768 (A)∧(B) configurations.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Nuclear physics research studies
Particle physics theoretical and experimental studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 14 May 2026
- Language
- EN