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

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

2007-04-30

arxiv.org/abs/0705.0006v1

Phys.Rev.D76:064005,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.76.064005

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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