Epistemic Cryptography: A Structural Audit Layer for Relational Systems

Epistemic Cryptography is a structural audit layer for relational systems. Unlike classical cryptography, which protects informational content, Epistemic Cryptography preserves the geometry of epistemic structure. The framework records structural configurations of relational fields through deterministic structural fingerprints derived from relational observables and spectral analysis of relational topology. The system introduces no optimization, no decision functions and no control mechanisms. Its role is purely observational. Structural states are recorded through a topological fingerprint defined as: h(t) = H( serialize( μ(t), A(t), QE(t), LTL(t) ) ) where relational observables form an antisymmetric matrix A satisfying: Aᵀ = −A which embeds the relational structure in the Lie algebra so(n). Spectral analysis of A allows detection of dominant structural axes and systemic centralization through the condition: |λ₁| >> |λ₂| The framework remains non-interventional and satisfies the invariant: ∂X / ∂Ψ = 0 meaning the audit layer does not influence the observed system. This record contains the official specification paper and supporting documents. --- Note on scope This work presents a formal structural proposal related to the risk of dominant-axis emergence in cognitive systems... Project: VECTAETOS Author: Richard Fonfara ORCID: https://orcid.org/0009-0008-5980-8940