Human Encryption System (HES): A Cognitive-Geometric Authentication and Cryptographic Primitive Leveraging Set Theory and Spatial Chess-State Reachability

Abstract

This paper introduces the Human Encryption System (HES), a novel cryptographic and authentication framework that bridges abstract set theory, 3D affine spatial geometry, and combinatorial game-state reachability (chess). By mapping categorical piece sets to an 8x8 spatial grid via a collision-resistant salt-and-keyword derivation function and anchoring authentication in procedural muscle memory through legal move sequences, HES achieves astronomical theoretical entropy. It provides a robust, phishing-immune, and post-quantum secure solution for zero-knowledge cognitive authentication without relying on persistent digital key storage or external hardware tokens.