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The wave function as a true ensemble
Jonte R Hance1, Sabine Hossenfelder2
1Quantum Engineering Technology Laboratories, Department of Electrical and Electronic Engineering, University of Bristol, Woodland Road, Bristol BS8 1US, UK.
Proceedings. Mathematical, Physical, and Engineering Sciences
|June 27, 2022
Summary
Quantum mechanics
Area of Science:
- Quantum mechanics
- Foundations of physics
Background:
- The wave function in quantum mechanics predicts outcome probabilities but not individual results.
- This implies hidden variables may define specific experimental outcomes.
Purpose of the Study:
- To analyze ensemble interpretations of quantum mechanics using hidden variables.
- To propose a refined definition for ensemble interpretations.
- To investigate the implications of local ensemble interpretations for statistical independence.
Main Methods:
- Analysis of existing theorems and experimental results.
- Examination of the ψ-ontic/epistemic distinction.
- Investigation of statistical independence in local ψ-ensemble interpretations.
Main Results:
- The ψ-ontic/epistemic distinction is inadequate for identifying ensemble interpretations.
- All local ψ-ensemble interpretations reproducing quantum mechanics violate statistical independence.
- Such theories exhibit superdeterminism or retrocausality.
Conclusions:
- A refined definition of ensemble interpretations is proposed.
- Local quantum mechanics implies violations of statistical independence (superdeterminism/retrocausality).
- This interpretation offers insights into quantum phenomena like delayed choice and Wigner's friends.
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