Unified Relational Projection Dynamics: A Minimal Information-Theoretic Foundation for Quantum Probabilities, Temporal Flow, and Causality
AI Trinity Lab
Abstract
This paper introduces Unified Relational Projection Dynamics (URPD), a fully self-contained physical framework that derives quantum probabilities, temporal evolution, and relativistic causal structure from purely relational information constraints. The theory uses only two primitives—relational overlap fields between observer-dependent reference frames and the coherence-cost associated with maintaining inter-frame consistency. Without invoking higher-dimensional structures or additional postulates, URPD reproduces the Born rule, the Schrödinger evolution, the classical limit, and the emergence of the light-cone. This work presents the minimal information-theoretic foundation from which core physical laws arise naturally.