Refutation of Hilbert Space Fundamentalism

• URL: http://arxiv.org/abs/2103.15104v3
• Date: Sun, 24 Jul 2022 14:42:16 GMT
• Title: Refutation of Hilbert Space Fundamentalism
• Authors: Ovidiu Cristinel Stoica
• Abstract summary: According to the "Hilbert Space Fundamentalism", all features of a physical system, including the 3D-space, 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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