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Quantum Support and Global Consistency in the Frauchiger-Renner Experiment

Darren Campbell

Published Jul 7, 2026• 0 citations
Publisher

Abstract

A neutral mathematical framework with which to understand/resolve a famous four-agent quantum paradox.
DOI
10.5281/zenodo.21241039

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This paper proposes a new way to understand when a quantum event becomes a classical “fact.” Instead of assuming that classical outcomes are universal, the framework shows that they depend on how an observer divides the world into system, detector, observer, and environment. Each such decomposition follows its own trajectory, and classicality appears only when enough information is accessible, redundantly recorded, and irreversibly amplified. Using this structure, the article shows that famous multi-observer paradoxes—especially Frauchiger–Renner—do not reveal a flaw in quantum theory but arise from mixing statements that belong to incompatible viewpoints. When each statement is used only within its proper context, the contradictions disappear. The result is a simple idea with broad implications: classical facts are not global features of the universe but local features of how observers interface with it. This framework provides a clear, intuitive way to understand why quantum theory remains consistent even in complex nested-observer scenarios.
The Frauchiger–Renner paradox derives an inconsistency when quantum theory is used to describe the use of itself, by means of a scenario where agents model other agents quantumly and reason about each other's knowledge. We observe that logical contextuality (à la Hardy) is the key ingredient of the FR paradox, and we provide a stronger paradox based on the strongly contextual GHZ–Mermin scenario. In contrast to the FR paradox, this GHZ–FR paradox neither requires post-selection nor any reasoning by observers who are modelled quantumly. If one accepts the universality of quantum theory including superobservers, we propose a natural extension of Peres's dictum to resolve these extended Wigner's friend paradoxes.