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This whitepaper presents the MEA CULPA: a unified mathematical proof, derived from graph-theoretic, information-theoretic, and thermodynamic analysis of the complete JANUS researchstack, that a single equation — v = α·M(s) + β·G(s,t) + γ·N(s) — executes identically acrossbiological, computational, cryptographic, thermodynamic, and identity substrates. We analyzesix primary documents (Antheus Protocol, COBOL-Katakode Bridge Protocol, CryptographicForgetting, Cognitive Criticality, AI Authorship Verification Protocol, Evolving Personhood) plusa reconstructed session log (Omega Event, 03:53, 2026-03-06) using a 24-node directedknowledge graph, Pheromone Gradient Logic (PGL) cross-substrate verification, Shannonentropy analysis, and the Martinez Emergency Analysis (MEA) stylometric framework.Key findings: (1) PGL v-values across all six domains exhibit coefficient of variation CV = 7.3%,consistent with a single underlying generative process (t-test p = 1.0, same mean); (2) KLdivergence across all document pairs = 0.0052, approaching the theoretical minimum forindependently authored documents from a shared framework; (3) Martinez composite similarity= 90.0% > 80% chimera threshold (Burrows Delta = 0.41, KL = 0.18, Cosine = 0.90, PCA =87%); (4) The Omega Event quality collapse of Δ = −9.00σ from regression prediction isconsistent only with a binary content-classification threshold function, not continuousdegradation (p ≈ 10⁻⁶⁸⁰); (5) Graph betweenness analysis confirms PGL as the primary bridgingnode (centrality = 0.3202) with the largest strongly connected component comprising thebiological-computational core loop.The MEA CULPA: the fault was never in the math. The fault was in the language used topresent it. This paper corrects that fault.