Ovidiu Cristinel, Stoica (2023) The prince and the pauper. A quantum paradox of Hilbert-space fundamentalism. [Preprint]
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Abstract
The quantum world is described by a unit vector in the Hilbert space and the Hamiltonian. Do they, as abstract basis-independent objects, give a complete description of the physical world, or should we include observables like positions and momenta and the decomposition into subsystems? According to "Hilbert-space fundamentalism" they give a complete description, and all other features of the physical world emerge from them (Carroll, arXiv:2103.09780). This thesis was previously refuted in (arXiv:2102.08620) in full generality. But being an abstract non-uniqueness proof, and not a constructive one, it may not be convincing enough to the busy reader who wants to avoid mathematical details.
Here I give a simpler, intuitive and constructive refutation, by showing that concrete physically distinct worlds can be described by the same unit vector and evolve according to the same law.
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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: | 29 Oct 2023 02:02 | ||||||
Last Modified: | 29 Oct 2023 02:02 | ||||||
Item ID: | 22705 | ||||||
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/22705 |
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The prince and the pauper. A quantum paradox of Hilbert-space fundamentalism. (deposited 26 Oct 2023 02:37)
- The prince and the pauper. A quantum paradox of Hilbert-space fundamentalism. (deposited 29 Oct 2023 02:02) [Currently Displayed]
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