Refutation of Hilbert Space Fundamentalism
Quantum Physics
2022-07-26 v3 Mathematical Physics
math.MP
History and Philosophy of Physics
Abstract
According to the "Hilbert Space Fundamentalism" Thesis, all features of a physical system, including the 3D-space, a preferred basis, and factorization into subsystems, uniquely emerge from the state vector and the Hamiltonian alone. I give a simplified account of the proof from arXiv:2102.08620 showing that such emerging structures cannot be both unique and physically relevant.
Cite
@article{arxiv.2103.15104,
title = {Refutation of Hilbert Space Fundamentalism},
author = {Ovidiu Cristinel Stoica},
journal= {arXiv preprint arXiv:2103.15104},
year = {2022}
}
Comments
2 pages, 2 figures