QM-3: Quantum Mechanics in CPP: Entanglement and Bell Inequality Violation from Non-Separable Nexus States

Abstract: QM-3 derives quantum entanglement and Bell inequality violation in Conscious Point Physics from first principles. A spin-1/2 CP aggregate carries a two-component DI-bit state whose phase encodes the spin direction via the ZBW helix. When two such aggregates are created in a total-spin-zero state, their joint DI-bit state is provably non-separable: it cannot be written as a product of independent single-particle states. The Nexus maintains this joint state globally at each Absolute Moment tick, enforcing total DI-bit conservation across all Grid Points regardless of spatial separation. The Born rule applied to the non-separable state gives E(a,b) = -cos(theta), yielding |CHSH| = 2 sqrt 2 at optimal angles — the Tsirelson bound. No-signaling holds because each party's marginal probability is exactly 1/2 independent of the other's setting, and the Nexus is the non-local resource that escapes Bell's theorem by enforcing a global constraint rather than a local hidden variable.