Article ID Journal Published Year Pages File Type
1161531 Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 2014 5 Pages PDF
Abstract

•A general geometric framework for discussing time observables is proposed.•In this framework, there is a local sense in which time observables always exist.•A restricted class of time observables can exist in a global sense.•Pauli׳s prohibition on quantum time observables is derived as a corollary.•Time observables are shown to be regained in some extensions of quantum theory.

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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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