Wang, Xing M. (2026) Einstein's Electron and Local Branching: Unitarity without Many-Worlds --Local Hilbert spaces, boundaries, and quantum nonlocality. [Preprint]
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Abstract
Traditional interpretations of quantum mechanics often present a dichotomy: either the wavefunction collapses upon measurement (Copenhagen), violating unitarity, or the entire universe branches into countless parallel worlds (Many-Worlds), with significant ontological proliferation. The Branched Hilbert Subspace Interpretation (BHSI) resolves this tension by introducing branching strictly within local Hilbert spaces. This framework reinterprets scenarios such as Einstein’s 1927 electron-diffraction thought experiment, in which all quantum events are confined to a local Hilbert space, allowing the Born rule to emerge naturally from branch weights. Crucially, BHSI treats branching as a dynamical process tied to information recording. This leads to a testable proposal: a dual-layer experiment in which the particle transit time between layers is shorter than the sensor response time, enabling a direct probe of measurement timing and “mismatched” or “uncommitted” outcomes. We argue that a quantum system behaves as a unified whole—an “island of coherence”—within which unitary branching is confined to the system’s boundary, without observable correlations with distant, unentangled systems. Finally, we show that quantum nonlocality (e.g., in Bell tests or tunneling) arises naturally from the intrinsic vector-space structure of local Hilbert spaces, rather than from superluminal signaling.
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| Item Type: | Preprint | ||||||
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| Keywords: | Born Rule; Branched Hilbert Subspace Interpretation; Copenhagen Interpretation; Local Hilbert Space; Many-Worlds Interpretation; Quantum Nonlocality. | ||||||
| Subjects: | General Issues > Philosophers of Science Specific Sciences > Physics > Quantum Mechanics |
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| Depositing User: | Dr. Xing M. Wang | ||||||
| Date Deposited: | 23 Jan 2026 13:41 | ||||||
| Last Modified: | 23 Jan 2026 13:41 | ||||||
| Item ID: | 27983 | ||||||
| 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 |
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| Date: | 22 January 2026 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/27983 |
Available Versions of this Item
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Einstein's Electron and Local Branching: Unitarity Does not Require Many-Worlds. (deposited 25 Jul 2025 13:13)
- Einstein's Electron and Local Branching: Unitarity without Many-Worlds --Local Hilbert spaces, boundaries, and quantum nonlocality. (deposited 23 Jan 2026 13:41) [Currently Displayed]
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