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arXiv · 0705.0006

Multiple-event probability in general-relativistic quantum mechanics: a discrete model

Mauricio Mondragon·Alejandro Perez·Carlo Rovelli
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Abstract

We introduce a simple quantum mechanical model in which time and space are discrete and periodic. These features avoid the complications related to continuous-spectrum operators and infinite-norm states. The model provides a tool for discussing the probabilistic interpretation of generally-covariant quantum systems, without the confusion generated by spurious infinities. We use the model to illustrate the formalism of general-relativistic quantum mechanics, and to test the definition of multiple-event probability introduced in a companion paper. We consider a version of the model with unitary time-evolution and a version without unitary time-evolution

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Mauricio Mondragon, Alejandro Perez, Carlo Rovelli. 2007-04-30. Multiple-event probability in general-relativistic quantum mechanics: a discrete model. https://doi.org/10.1103/physrevd.76.064005

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