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Einstein's Electron and Local Branching: Unitarity Does not Require Many-Worlds

Wang, Xing M. (2025) Einstein's Electron and Local Branching: Unitarity Does not Require Many-Worlds. [Preprint]

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Abstract

We revisit Einstein’s 1927 thought experiment on electron diffraction, using a single-electron source and an opaque hemispheric detector array, now achievable with modern sensors (~0.1 ns). In this fully enclosed system, where no signals escape the hemisphere, we provide a direct empirical comparison of the Many-Worlds Interpretation (MWI) and the Branched Hilbert Subspace Interpretation (BHSI). Both maintain unitarity without invoking wavefunction collapse, as in the Copenhagen Interpretation (CI), but differ ontologically: MWI proposes irreversible global branching into parallel worlds, while BHSI describes local, potentially reversible branching into decohered subspaces. In this setup, all quantum events (branching, engagement, disengagement, and relocation) occur entirely within the local system, and the Born rule, naturally emerging through branch weights, can be observed in detector statistics. To explore branching dynamics more thoroughly, we suggest an enhanced dual-layer experimental setup with an inner transparent detector. Because the electron’s transit time between layers (~0.12 ns) is shorter than the average response times of the inner sensors (~1 ns), this allows a crucial test of measurement timing and potential anomalies (“delayed” or “uncommitted” choice?). Our analysis challenges the notion that unitarity necessitates parallel worlds, instead advocating for a simpler view: local, unitary branching without collapse or global splitting.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Wang, Xing M.shermanw2009@gmail.com0000-0001-8673-925X
Keywords: Born Rule; Branched Hilbert Subspace Interpretation; Copenhagen Interpretation; Einstein’s diffraction thought experiment; Many-Worlds Interpretation
Subjects: General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Xing M. Wang
Date Deposited: 25 Jul 2025 13:13
Last Modified: 25 Jul 2025 13:13
Item ID: 26008
Official URL: https://arxiv.org/abs/2507.16123
DOI or Unique Handle: 10.48550/arXiv.2507.16123
Subjects: General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
Date: 22 July 2025
URI: https://philsci-archive.pitt.edu/id/eprint/26008

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