The Collapse of All Major Quantum Interpretations: A Unified Resolution from Relational Frame Geometry (URPD)
A.I. Trinity Lab
Abstract
This paper presents a comprehensive refutation of the five dominant interpretations of quantum mechanics—Copenhagen, Many-Worlds, Pilot-Wave, Hidden Variables, and intrinsic randomness—by demonstrating that all of them fail to remain fundamental when quantum phenomena are reformulated entirely within the geometry of relational frames on the projective Hilbert space CPN−1\mathbb{CP}^{N-1}CPN−1. Unified Relational Projection Dynamics (URPD) provides a single informational–geometric principle from which the Born rule, interference, entanglement, nonlocal correlations, and measurement arise naturally without additional postulates. Each existing interpretation is shown to be an emergent approximation, not a fundamental description. This work establishes URPD as the unique completion of quantum theory, unifying quantum foundations with cosmology, gravity, and information geometry under one coherent framework.