Subject-Predicate Conic Dynamics, Hyperplane Sections, and Cryptographic Collapse: A Unified Categorical and Topological Framework

This paper presents a rigorous axiomatic and topological framework unifying the logical structure of "Subject-Predicate" relations in natural reasoning, non-linear dynamical trajectories (e.g., figure-eight lemniscates, double pendulums, and analemmas), and the determination of secret keys in modern cryptographic lattices. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.