RESOLUTION OF THE VON NEUMANN MEASUREMENT CHAIN THROUGH ABSOLUTE SELF-ORIGINATION: A Unified Account via Quantum Reference Frame Transformations and the Type III₁ Algebraic Boundary Condition

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Authors: José Caetano de Mattos
Cited by: 5
References: 1

Abstract

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.

Fields of Study & Subjects

Quantum Mechanics and Non-Hermitian Physics Quantum Information and Cryptography Quantum Mechanics and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
25 May 2026
Document type
Preprint