Gao, Shan (2025) The Preferred Frame Problem of Bohmian Mechanics. [Preprint]

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Abstract

Bohmian Mechanics (BM) posits a deterministic quantum framework where particle trajectories are guided by a wave function within a preferred Lorentz frame, a dependence starkly revealed by a novel EPR-Bohm experiment with reversible measurements. Unlike Bell tests, where BM’s predictions align with standard quantum mechanics regardless of frame, this experiment demonstrates that the Born rule’s application in the preferred frame determines whether Alice’s intermediate measurement statistics are random or deterministic. This reliance on a preferred frame—a measure-zero set in the continuum of Lorentz frames—exposes BM’s fundamental deficiency, as it is experimentally undetectable, lacks physical justification, and violates special relativity’s frame equivalence. Collapse theories, such as GRW and CSL, face analogous issues, requiring a preferred frame for non-local collapse events. This analysis highlights the inherent tension between single-world quantum theories and relativistic constraints, raising significant doubts about their viability as alternative quantum theories. The findings underscore the need for quantum interpretations that reconcile realism with relativity, suggesting that the Many-Worlds Interpretation, which provides a Lorentz-invariant framework without requiring a preferred frame, may offer a more robust and consistent foundation for quantum mechanics.

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Item Type:	Preprint
Creators:	Creators Email ORCID Gao, Shan sgao7319@uni.sydney.edu.au
Keywords:	Bohmian Mechanics, Collapse theories, EPR-Bohm experiment, reversible measurements, special relativity, preferred frame
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory
Depositing User:	Prof. Shan Gao
Date Deposited:	19 Jun 2025 13:36
Last Modified:	19 Jun 2025 13:36
Item ID:	25738
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory
Date:	19 June 2025
URI:	https://philsci-archive.pitt.edu/id/eprint/25738

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