Stoica, Ovidiu Cristinel (2026) No change in Hilbert space fundamentalism. [Preprint]

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Abstract

Hilbert space fundamentalism (HSF) states that everything about the physical world is encoded in the Hamiltonian operator and the state vector (as a unit vector, not a wavefunction, which requires additional specification of a configuration space, a position basis, or the position observables). That all structures needed to describe reality, including subsystems, space, fields, emerge from these.

I show that HSF can't account for our observations that the physical world changes in time.

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Item Type:	Preprint
Creators:	Creators Email ORCID Stoica, Ovidiu Cristinel holotronix@gmail.com 0000-0002-2765-1562
Keywords:	tensor product structure, Hilbert space fundamentalism, quantum theory, locality, quantum mereology, emergent space & spacetime, mathematical physics, invariant theory
Subjects:	Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Ovidiu Cristinel Stoica
Date Deposited:	25 Feb 2026 13:34
Last Modified:	25 Feb 2026 13:34
Item ID:	28333
Subjects:	Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Mechanics
Date:	24 February 2026
URI:	https://philsci-archive.pitt.edu/id/eprint/28333

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