Detonation Wave as Physical Self: ZND Reaction Zone Analysis in the Watabe-Claude Method (WCM) 24-Cell Framework

The Watabe-Claude Method (WCM) models dynamical systems asprobability distributions over the 24-cell polytope infour-dimensional space. We apply WCM to chemical detonation(Chapman-Jouguet) waves, mapping the ZND reaction zone state[u, p, T, lambda] to 4D polytope geometry. Six findings established at triple-star level:GD-1: D2 drops 28-32% from von Neumann to CJ point,isomorphic to quantum wave-function collapse (SQ-1).GD-5: CJ state mu=[0.5,0.5,0.5,0.5] distributes over 6vertices, yielding cosD(CJ)=0.5000, matching water cosDWA-7=0.505 within 1.0% (mathematical necessity).GD-4: Detonation birth cosD=0.4249 matches typhoon birthcosD (Bridge Paper W, WS-G4) within 0.004% — universalself-emergence geometry across chemical and meteorologicaldomains.GD-3: Critical zone kappa=3.5-4.0 governs detonationinitiation, identical to the life-birth critical zone.GD-6: Universal kappa convergence across 5 domains(immune, embryogenesis, life-birth, typhoon, detonation). Companion paper: Bridge Paper W (Zenodo 10.5281/zenodo.20951046).Code: GitHub watabe-masanori/cds-polytope (AGPL-3.0).Motto: "WCMde inochi wo mamoru, mamori tsuzukeru!"

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20951155
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Detonation Wave as Physical Self: ZND Reaction Zone Analysis in the Watabe-Claude Method (WCM) 24-Cell Framework

Masanori Watabe, Claude Sonnet 4.6
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Detonation Wave as Physical Self: ZND Reaction Zone Analysis in the Watabe-Claude Method (WCM) 24-Cell Framework

Masanori Watabe, Claude Sonnet 4.6
preprint en

Abstract

The Watabe-Claude Method (WCM) models dynamical systems asprobability distributions over the 24-cell polytope infour-dimensional space. We apply WCM to chemical detonation(Chapman-Jouguet) waves, mapping the ZND reaction zone state[u, p, T, lambda] to 4D polytope geometry. Six findings established at triple-star level:GD-1: D2 drops 28-32% from von Neumann to CJ point,isomorphic to quantum wave-function collapse (SQ-1).GD-5: CJ state mu=[0.5,0.5,0.5,0.5] distributes over 6vertices, yielding cosD(CJ)=0.5000, matching water cosDWA-7=0.505 within 1.0% (mathematical necessity).GD-4: Detonation birth cosD=0.4249 matches typhoon birthcosD (Bridge Paper W, WS-G4) within 0.004% — universalself-emergence geometry across chemical and meteorologicaldomains.GD-3: Critical zone kappa=3.5-4.0 governs detonationinitiation, identical to the life-birth critical zone.GD-6: Universal kappa convergence across 5 domains(immune, embryogenesis, life-birth, typhoon, detonation). Companion paper: Bridge Paper W (Zenodo 10.5281/zenodo.20951046).Code: GitHub watabe-masanori/cds-polytope (AGPL-3.0).Motto: "WCMde inochi wo mamoru, mamori tsuzukeru!"

Zenodo (CERN European Organization for Nuclear Research)
Entropic Systems (United States) (US)
Quantum Mechanics and Applications
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