Multiple-event probability in general-relativistic quantum mechanics: a discrete model
General Relativity and Quantum Cosmology
2008-11-26 v1
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
Cite
@article{arxiv.0705.0006,
title = {Multiple-event probability in general-relativistic quantum mechanics: a discrete model},
author = {Mauricio Mondragon and Alejandro Perez and Carlo Rovelli},
journal= {arXiv preprint arXiv:0705.0006},
year = {2008}
}