Entanglement, Collapse, and the Topology of Coherence Survival

Entanglement is reinterpreted within the framework of Unified Vibrational Field Theory (UVFT), where correlations between systems emerge not from instantaneous signaling but from a shared dropout budget — a finite reservoir of coherence survivability distributed across spacetime. Collapse is reframed as a budget-overrun event, governed by strain thresholds and geometric saturation, rather than as observer-induced or probabilistic branching. This chapter introduces a quantitative dropout equation, a modal strain tensor, and a coherence continuity law, grounding entanglement in the physical geometry of coherence. Classical paradoxes — including Bell inequality violations, delayed-choice experiments, and entanglement sudden death — are resolved without violating causality or invoking hidden variables. The result is a fully geometric, testable, and topologically anchored explanation of quantum nonlocality, supported by predictive equations and falsifiable constraints. This is part of the Unified Vibrational Field Theory (UVFT) publication series. It locks the nonlocality interpretation into a topological and geometric framework, resolving longstanding paradoxes with no need for observers, retrocausality, or hidden variables.