Algebraic Confinement Cryptography (ACC) A Hierarchical Framework Based on Affine Hecke Monoids

This document introduces a novel class of cryptographic systems, Algebraic Confinement Cryptography (ACC), derived from the hierarchical encapsulation structure K=3 ⊂ K=4 ⊂ K=5 discovered in affine 0-Hecke monoids H0(ÃK-1). The security of the system rests on the irreversible asymmetry between total algebraic confinement (C=0) and causal factorization (C=2). We demonstrate that this hierarchy constitutes the minimal and sufficient structure to simultaneously guarantee confusion via braiding, diffusion via causal channels, and coherence via the golden attractor.