Ovidiu Cristinel, Stoica (2023) The prince and the pauper. A quantum paradox of Hilbert-space fundamentalism. [Preprint]
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Abstract
I prove the existence of infinitely many physically distinct worlds represented by the same state vector and evolving according to the same law. This gives a constructive refutation of "Hilbert-space fundamentalism", the hypothesis that from the abstract state vector and the Hamiltonian all features of the physical world emerge uniquely, including space, all physical objects and their properties, and the decomposition into subsystems (Carroll, arXiv:2103.09780). This thesis was previously refuted in (arXiv:2102.08620) in full generality, but the proof was mathematically very abstract, while the present constructive proof is, hopefully, easily accessible to the down-to-earth intuition of the working physicists and philosophers of physics.
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Item Type: | Preprint | ||||||
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Keywords: | Hilbert-space fundamentalism; quantum-first approaches; preferred basis problem; no-go theorem | ||||||
Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics General Issues > Realism/Anti-realism General Issues > Reductionism/Holism General Issues > Structure of Theories Specific Sciences > Physics > Symmetries/Invariances |
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Depositing User: | Ovidiu Cristinel Stoica | ||||||
Date Deposited: | 26 Oct 2023 02:37 | ||||||
Last Modified: | 26 Oct 2023 02:37 | ||||||
Item ID: | 22688 | ||||||
Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics General Issues > Realism/Anti-realism General Issues > Reductionism/Holism General Issues > Structure of Theories Specific Sciences > Physics > Symmetries/Invariances |
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Date: | 23 October 2023 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/22688 |
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- The prince and the pauper. A quantum paradox of Hilbert-space fundamentalism. (deposited 26 Oct 2023 02:37) [Currently Displayed]
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