Unified Relational Projection Dynamics (URPD): A Minimal Information-Theoretic Framework for Quantum States, Time, and Causality

A.I. Trinity Lab

Published Nov 22, 2025• 0 citations

Abstract

This work introduces Unified Relational Projection Dynamics (URPD), a minimal information-theoretic framework in which physical states are represented as relational frames in the complex projective state space CPN−1\mathbb{C}P^{N-1}CPN−1.The theory defines evolution as entropy-maximizing transitions between frames under constraints of informational displacement, providing a unified geometric origin for quantum probabilities, temporal flow, and causality.URPD naturally ensures information preservation through non-vanishing frame overlaps induced by the Fubini–Study metric, offering a non-holographic explanation of the Page curve and black-hole information retention.This framework establishes a compact, relational, and geometry-based foundation for quantum mechanics and spacetime structure.

DOI: 10.5281/zenodo.17677107

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