Derivation of the Weinberg Angle from the PDL Axioms: Dephasing Sequencing, Lemma D, and a New Prediction for Δm_iso

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-14
DOI
https://doi.org/10.5281/zenodo.20179923
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
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article

Derivation of the Weinberg Angle from the PDL Axioms: Dephasing Sequencing, Lemma D, and a New Prediction for Δm_iso

Cédric Laubscher
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
article

Derivation of the Weinberg Angle from the PDL Axioms: Dephasing Sequencing, Lemma D, and a New Prediction for Δm_iso

Cédric Laubscher
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Quantum Chromodynamics and Particle Interactions
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