When Greenberger, Horne and Zeilinger Meet Wigner’s Friend

Foundations of Physics 52 (4):1-17 (2022)
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Abstract

A general argument is presented against relativistic, unitary, single-outcome quantum mechanics. This is achieved by combining the Wigner’s Friend thought experiment with measurements on a Greenberger–Horne–Zeilinger state, and describing the evolution of the quantum state in various inertial frames. Assuming unitary quantum mechanics and single outcomes, the result is that the Born rule must be violated in some inertial frame: in that frame, outcomes are obtained for which no corresponding term exists in the pre-measurement wavefunction.

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Citations of this work

Scientific Objectivity and Its Limits.Richard Healey - 2024 - British Journal for the Philosophy of Science 75 (3):639-662.
Rules and Meaning in Quantum Mechanics.Iulian D. Toader - 2025 - Cham: European Studies in Philosophy of Science Series, vol. 13, Springer.
Is the Reality Criterion Analytic?Florian J. Boge & David Glick - 2021 - Erkenntnis 86 (6):1445-1451.

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References found in this work

The Quantum Mechanics of Minds and Worlds.Jeffrey Alan Barrett - 1999 - Oxford, GB: Oxford University Press.
Conceptual foundations of quantum mechanics.Bernard D' Espagnat - 1976 - Redwood City, Calif.: Addison-Wesley, Advanced Book Program.
Modal Interpretations of Quantum Mechanics.Olimpia Lombardi & Dennis Dieks - forthcoming - Stanford Encyclopedia of Philosophy.

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