Configuration Space Cryptography: A Framework for Natural Cycle Key Evolution and Information-Theoretic Security
Simel-Eric Osborne Jenkins-Bey · Zenodo (CERN European Organization for Nuclear Research) · 2025
This paper establishes the mathematical foundations for deriving cryptographic security from high-dimensional configuration spaces generated by natural cycle systems. We define configuration spaces as Cartesian products of cyclic groups, derive entropy accumulation formulas, and prove that such systems achieve information-theoretic security under well-defined conditions. We establish security bounds of the form P(adversary success) ≤ 1/|C| + negl(λ) and demonstrate that entropy accumulates over time according to H(t) = H₀ + n(t) · log₂(|C|). The framework provides a rigorous bridge between Natural Key Distribution (NKD) and practical multi-dimensional security architectures, with proof of analog implementability for EMP-resilient deployments.