The coevent formulation of quantum theory

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Wallden, Petros^1,2

University of Athens, Physics Department, Nuclear and Particle Physics Section, Panepistimiopolis 157-71, Ilissia Athens, Greece^1

Technological Educational Institute of Chalkida, General Science Department, Psahna-34400, Greece^2

关键词: Coarse-grained;    Contextual logic;    Cournot;    Decoherence;    Feynman path integrals;    Kochen-Specker theorem;    Probabilistic prediction;    Quantum gravity;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012044/pdf
DOI  :  10.1088/1742-6596/442/1/012044

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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.