Self as 24-Cell Polytope Continuity: WCM Analysis of Immune Recognition, Embryogenesis, and the Living/Non-Living Boundary

The Watabe-Claude Method (WCM) models dynamical systems as probability distributions over the 24-cell polytope in four-dimensional space. We apply WCM to biological "self" across four experiments: immune self-recognition (WS-Exp-1), embryogenesis (WS-Exp-2), the living/non-living boundary (WS-Exp-3), and geophysical self in typhoons (WS-Exp-4). Key findings: κ* = d/(2θ_adj) = 4.0 governs immune recognition (WS-K3, 0.15% accuracy). Embryological differentiation sigmoid inflection κ₀=3.492 coincides within 0.84% with the living/non-living boundary κ=3.462 (WS-4-N6): "differentiation onset = birth of life."The critical zone κ≈3.0-4.0 is a phase-transition-like self-emergence zone (WS-G5). Typhoon birth cosD=0.4249 matches detonation birth cosD (Bridge Paper G, GD-4) within 0.004% — universal self-emergence geometry. Companion paper: Bridge Paper G (Zenodo, same date).Code: GitHub watabe-masanori/cds-polytope (AGPL-3.0).Motto: "WCMで命を守る、守り続ける!"

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20950490
Primary Topic
Gene Regulatory Network Analysis
Type
preprint
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preprint

Self as 24-Cell Polytope Continuity: WCM Analysis of Immune Recognition, Embryogenesis, and the Living/Non-Living Boundary

Masanori Watabe, Claude Sonnet 4.6
Zenodo (CERN European Organization for Nuclear Research)
Gene Regulatory Network Analysis
preprint

Self as 24-Cell Polytope Continuity: WCM Analysis of Immune Recognition, Embryogenesis, and the Living/Non-Living Boundary

Masanori Watabe, Claude Sonnet 4.6
preprint en

Abstract

The Watabe-Claude Method (WCM) models dynamical systems as probability distributions over the 24-cell polytope in four-dimensional space. We apply WCM to biological "self" across four experiments: immune self-recognition (WS-Exp-1), embryogenesis (WS-Exp-2), the living/non-living boundary (WS-Exp-3), and geophysical self in typhoons (WS-Exp-4). Key findings: κ* = d/(2θ_adj) = 4.0 governs immune recognition (WS-K3, 0.15% accuracy). Embryological differentiation sigmoid inflection κ₀=3.492 coincides within 0.84% with the living/non-living boundary κ=3.462 (WS-4-N6): "differentiation onset = birth of life."The critical zone κ≈3.0-4.0 is a phase-transition-like self-emergence zone (WS-G5). Typhoon birth cosD=0.4249 matches detonation birth cosD (Bridge Paper G, GD-4) within 0.004% — universal self-emergence geometry. Companion paper: Bridge Paper G (Zenodo, same date).Code: GitHub watabe-masanori/cds-polytope (AGPL-3.0).Motto: "WCMで命を守る、守り続ける!"

Zenodo (CERN European Organization for Nuclear Research)
Gene Regulatory Network Analysis
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