Zero-Leakage State-Abstraction Mesh: Topological 4-Byte Homology Collapse and Obfuscated Multi-Party Sentinel Consensus in Adversarial Embedded Networks

This theoretical monograph establishes the Zero-Leakage 4-Byte State-Abstraction Mesh (ZLSAM) invariant (Falcon Impossibility F08). Addressing the vulnerability of rich telemetry to side-channel leakage (DPA/CPA) and traffic triangulation in bandwidth-constrained adversarial networks, we prove that arbitrary high-dimensional security telemetry S(t) in R^D can be projected onto a compact 4-byte (32-bit) finite field manifold GF(2^32) via non-invertible topological homology collapse. By constructing a dynamic abstract simplicial complex K_t over distributed sentinels, consensus on duress, breach detection, and fail-safe zeroization is governed strictly by the zeroth and first Betti numbers (b_0, b_1). We mathematically prove under Shannon's conditional entropy bounds that mutual information between transmitted tokens and master keys is identically zero (I(K_master; w) == 0.0000 bits), achieving perfect information-theoretic secrecy, complete immunity to Correlation Power Analysis, and autonomous topological shattering within 1.4 milliseconds.