Multiple-event probability in general-relativistic quantum mechanics

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dc.creatorHellmann, Frank
dc.creatorMondragon, Mauricio
dc.creatorPerez, Alejandro
dc.creatorRovelli, Carlo
dc.date2006-10-27
dc.date.accessioned2026-07-07T10:24:37Z
dc.date.available2026-07-07T10:24:37Z
dc.descriptionWe discuss the definition of quantum probability in the context of "timeless" general--relativistic quantum mechanics. In particular, we study the probability of sequences of events, or multi-event probability. In conventional quantum mechanics this can be obtained by means of the ``wave function collapse" algorithm. We first point out certain difficulties of some natural definitions of multi-event probability, including the conditional probability widely considered in the literature. We then observe that multi-event probability can be reduced to single-event probability, by taking into account the quantum nature of the measuring apparatus. In fact, by exploiting the von-Neumann freedom of moving the quantum classical boundary, one can always trade a sequence of non-commuting quantum measurements at different times, with an ensemble of simultaneous commuting measurements on the joint system+apparatus system. This observation permits a formulation of quantum theory based only on single-event probability, where the results of the "wave function collapse" algorithm can nevertheless be recovered. The discussion bears also on the nature of the quantum collapse.
dc.identifierhttps://arxiv.org/abs/gr-qc/0610140
dc.identifierhttp://arxiv.org/abs/gr-qc/0610140
dc.identifierPhys.Rev.D75:084033,2007
dc.identifierdoi:10.1103/PhysRevD.75.084033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176253
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMultiple-event probability in general-relativistic quantum mechanics
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