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The prince and the pauper. A quantum paradox of Hilbert-space fundamentalism

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
Creators:
CreatorsEmailORCID
Ovidiu Cristinel, Stoicaholotronix@gmail.com0000-0002-2765-1562
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
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
Date: 23 October 2023
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/22705

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