Entanglement, Bell Inequalities, and Intrinsic Temporal Structure in Chronon Field Theory

We present a rigorous reformulation of entanglement and Bell-type quantum correlations within the framework of Chronon Field Theory (CFT), a novel approach to quantum mechanics grounded in an intrinsic temporal vector field Φµ(x). This field defines a physical foliation of spacetime and enables a causal, local, and background-independent explanation of quantum cor relations. We develop the formal structure of Chronon Quantum Mechanics (CQM), re-express entangled states as topologically and causally coherent field configurations, and demonstrate how Bell inequalities are violated without invoking acausal nonlocality. Our results suggest a new foundation for quantum nonlocality rooted in the geometry of temporal flow.