Derivation of the Born Rule from Coherence-Cost Minimization in an Observer-Actualized Time Framework
AI Trinity Lab
Abstract
A fully self-consistent derivation of the Born rule is presented using an information-theoretic quantity called coherence cost, defined over candidate future frames in an observer-actualized time model. By applying the Maximum Entropy Principle with a constraint determined by inter-frame coherence, the theory naturally yields without invoking von Neumann entropy. This provides a mathematically clean and conceptually transparent origin for quantum probabilities within a discrete frame-based temporal structure.