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arXiv:1301.5704 [quant-ph]AbstractReferencesReviewsResources

The coevent formulation of quantum theory

Petros Wallden

Published 2013-01-24, updated 2013-05-11Version 2

Understanding quantum theory has been a subject of debate from its birth. Many different formulations and interpretations have been proposed. Here we examine a recent novel formulation, namely the coevents formulation. It is a histories formulation and has as starting point the Feynman path integral and the decoherence functional. The new ontology turns out to be that of a coarse-grained history. We start with a quantum measure defined on the space of histories, and the existence of zero covers rules out single-history as potential reality (the Kochen Specker theorem casted in histories form is a special case of a zero cover). We see that allowing coarse-grained histories as potential realities avoids the previous paradoxes, maintains deductive non-contextual logic (alas non-Boolean) and gives rise to a unique classical domain. Moreover, we can recover the probabilistic predictions of quantum theory with the use of the Cournot's principle. This formulation, being both a realist formulation and based on histories, is well suited conceptually for the purposes of quantum gravity and cosmology.

Comments: 19 pages, 1 figure. In v2 equation 7 corrected, figure added and references modified
Journal: J. Phys. Conf. Ser. 442, 012044 (2013)
Categories: quant-ph, gr-qc
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