Leggett-Garg Inequalities, Pilot Waves and Contextuality
Abstract
In this paper we first analyse Leggett and Garg's argument to the effect that macroscopic realism contradicts quantum mechanics. After making explicit all the assumptions in Leggett and Garg's reasoning, we argue against the plausibility of their auxiliary assumption of non-invasive measurability, using Bell's construction of stochastic pilot-wave theories as a counterexample. Violations of the Leggett-Garg inequality thus do not provide a good argument against macrorealism per se. We then apply Dzhafarov and Kujala's analysis of contextuality in the presence of signalling to the case of the Leggett-Garg inequalities, with rather surprising results. An analogy with pilot-wave theory again helps to clarify the situation.
Cite
@article{arxiv.1409.4104,
title = {Leggett-Garg Inequalities, Pilot Waves and Contextuality},
author = {Guido Bacciagaluppi},
journal= {arXiv preprint arXiv:1409.4104},
year = {2014}
}
Comments
21 pages, no figures, forthcoming in International Journal of Quantum Foundations. v2 contains minor improvements and connects better to other recent literature