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arXiv:2010.01327quant-ph

A Toy Model for Local and Deterministic Wave-function Collapse

Sandro Donadi, Sabine Hossenfelder

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Abstract

A local, deterministic toy model for quantum mechanics is introduced and discussed. It is demonstrated that, when averaged over the hidden variables, the model produces the same predictions as quantum mechanics. In the model considered here, the dynamics depends only on the settings of the measurement device at the detection time, not how those settings were chosen. As a consequence, the model is locally causal but violates statistical independence. We show that it is neither fine-tuned nor allows for superluminal signalling.

arXiv comments
21 pages, 4 figures, improved explanation
Journal reference
Physical Review A 106, 2 (2022)
DOI
doi:10.1103/PhysRevA.106.022212
Subjects
quant-phQuantum Physics

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Linked by 1 identifiable commenter in 2 comments across 2 threads, from Jan 2022 to Oct 2022.

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Discussed in comments2 threads

  1. Chaos theory eliminates quantum uncertainty 1 comment

    • Of course there are: * Hossenfelder's own toy model, https://arxiv.org/abs/2010.01327v5 * Gerard 't Hooft's cellular automata model: https://webspace.science.uu.nl/~hooft101/gthpub/FFP11_2010.p... * https://www.journals.uchicago.edu/doi/10.1086/714819 Models that violate Bell's…

      naaskingView on HNParent context

  2. Why Quantum Mechanics? 1 comment

    • Bell's theorem assumes statistical independence in its proof that local hidden variables can't reproduce QM. Superdeterminism violates statistical independence, therefore Bell's theorem does not rule out a superdeterministic local hidden variables theory, like this one…

      naaskingView on HNParent context

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