Testing super-deterministic hidden variables theories

Abstract

We propose to experimentally test non-deterministic time evolution in quantum mechanics by consecutive measurements of non-commuting observables on the same prepared state. While in the standard theory the measurement outcomes are uncorrelated, in a super-deterministic hidden variables theory the measurements would be correlated. We estimate that for macroscopic experiments the correlation time is too short to have been noticed yet, but that it may be possible with a suitably designed microscopic experiment to reach a parameter range where one would expect a super-deterministic modification of quantum mechanics to become relevant.

12 pages, 2 figures, to be published in Foundations of Physics

References in corpus (3)

• Violation of Bell's inequality under strict Einstein locality conditions
• Violation of Bell inequalities by photons more than 10 km apart
• Towards a loophole-free test of Bell's inequality with entangled pairs of neutral atoms

Cited by in corpus (10)

• Rethinking Superdeterminism
• Relaxed Bell Inequalities with Arbitrary Measurement Dependence for Each Observer
• Fast Vacuum Fluctuations and the Emergence of Quantum Mechanics
• A Toy Model for Local and Deterministic Wave-function Collapse
• Aspects of Superdeterminism Made Intuitive
• Testing Superdeterministic Conspiracy
• Memory effects in a sequence of measurements of non-commuting observables
• Comment on "Experimentally adjudicating between different causal accounts of Bell-inequality violations via statistical model selection"
• Quantum theories with local information flow
• Bell Meets General Philosophers of Science : Reassessing Measurement Independence