A general perspective on time observables

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Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, ISSN: 1355-2198, Vol: 47, Issue: 1, Page: 50-54

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Roberts, Bryan W.
Elsevier BV; Elsevier
Arts and Humanities; Physics and Astronomy
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article description
I propose a general geometric framework in which to discuss the existence of time observables. This framework allows one to describe a local sense in which time observables always exist, and a global sense in which they can sometimes exist subject to a restriction on the vector fields that they generate. Pauli׳s prohibition on quantum time observables is derived as a corollary to this result. I will then discuss how time observables can be regained in modest extensions of quantum theory beyond its standard formulation.