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.

arXiv comment21 pages, 4 figures, improved explanation

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Cited by in corpus (11)

• Contextuality or nonlocality; what would John Bell choose today?
• Aspects of Superdeterminism Made Intuitive
• Counterfactual restrictions and Bell's theorem
• Incompatibility in restricted operational theories: connecting contextuality and steering
• Test of the physical significance of Bell nonlocality
• Weak versus deterministic macroscopic realism, and Einstein-Podolsky-Rosen's elements of reality
• The Quantum Measurement Problem: A Review of Recent Trends
• Comment on "Experimentally adjudicating between different causal accounts of Bell-inequality violations via statistical model selection"
• Bell Meets General Philosophers of Science : Reassessing Measurement Independence
• Forward-backward stochastic simulations: Q-based model for measurement and Bell-nonlocality consistent with weak local realistic premises
• Minimal Proper Time and Deterministic Microstates: Emergent Quantum Fields and Relativistic Spacetime