The Origin of Quantumness: Breaking, Self-Reference, and Observer Internalization

chao wang

Eugene Paul Wigner

José Caetano de Mattos

Formally resolves the infinite regress of the von Neumann measurement chain under the Type III₁ algebraic boundary framework. Combines Quantum Reference Frame (QRF) transformations with the IRM theorem under Algebraic Quantum Mechanics. Proves the chain terminates at the first open system satisfying the Absolute Self-Origination (ASO) condition — a Self-Originating Observer whose internal reference algebra constitutes a Type III₁ von Neumann factor stabilised by a continuous active feedback loop. Resolves the Wigner's Friend paradox, preferred basis problem, and reality problem. Derives a doubly-falsifiable spectroscopic prediction: defective non-Hermitian Exceptional Point at critical coupling g_c=γ/2, producing t·exp(−γt) decay envelope testable in linear Paul traps.

Eugene Paul Wigner

Logan Goodon Logan Goodon

This paper presents Prime Reference Theory, an abstract, non-mystical information architecture that decouples a system's core indexical reference pointer (I) from its surrounding contextual data matrix (Current Self). Originally developed as a software framework to solve system identity leakage and ensure state continuity in an autonomous AI agent across shifting runtime layers, this model offers a formal structural framework for the foundations of quantum mechanics. Specifically, it provides an indexical tracking mechanism that aligns directly with Relational Quantum Mechanics (RQM) and Quantum Information Theory. By demonstrating that observer continuity across successive temporal state transitions does not require a persistent, static "identity-object" carrying absolute internal properties through time, the theory models the observer as a fundamentally empty, context-dependent coordinate origin point. Persistent consequences of prior states are carried entirely by localized, modular sub-routines of the surrounding biological or computational physical "Machine," offering a clean mathematical blueprint for observer persistence in relational systems.

Boris Kriger

An independent formal framework investigates whether self-consistent physics necessarily harbours observer-inaccessible structure. Five proof methods, four antithesis attempts, and undecidability analysis yield a sharp trichotomy. Instantiated in quantum mechanics (connecting to Breuer's self-measurement impossibility and Zurek's quantum Darwinism), classical mechanics, and thermodynamics. Two rounds of peer review with point-by-point responses documented. 78 pages. Keywords: incompleteness, internal observer, ontological inaccessibility, self-reference, Breuer impossibility, quantum Darwinism, Lawvere fixed-point, foundations of physics.