A Toy Model for Local and Deterministic Wave-function Collapse

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.

21 pages, 4 figures, improved explanation

References in corpus (7)

• Local deterministic model of singlet state correlations based on relaxing measurement independence
• Astrophysical and Cosmological Tests of Quantum Theory
• The wavefunction as a true ensemble
• Testing super-deterministic hidden variables theories
• Objective quantum fields, retrocausality and ontology
• On Superdeterministic Rejections of Settings Independence
• Born's rule from almost nothing

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