Mod2 Mask System: A Bitwise Primitive for Entropy Generation on 64-bit Hardware

This work introduces the Mod2 Mask System, a novel computational primitive that achieves physical entropy extraction entirely within user-space, bypassing the traditional reliance on operating system calls (e.g., /dev/urandom) and standard deterministic pseudorandom number generators (PRNGs). By autonomously exploiting hardware state variations directly within 64-bit CPU registers, the system generates observable, true entropy at extreme speeds without kernel intervention. Two distinct operational variants are formalized: a masked configuration that produces structured chaos with architecture-independent algebraic invariants—highly optimized for artificial intelligence heuristics, pathfinding, and NP-Hard solvers—and an unmasked configuration that delivers near-perfect statistical entropy (Shannon = 7.989 bits/byte) for robust user-space randomization. The empirical results demonstrate a paradigm shift: applications can now harvest high-quality physical entropy autonomously, effectively overcoming the latency and isolation bottlenecks of modern operating system schedulers.