Related papers: Localization POVMs and intrinsic temporal uncertainty

Localization POVMs and intrinsic temporal uncertainty

URL: http://arxiv.org/abs/2009.07050v2
Date: Thu, 24 Sep 2020 19:52:06 GMT
Title: Localization POVMs and intrinsic temporal uncertainty
Authors: E. R. F. Taillebois and A. T. Avelar
Abstract summary: We argue that physical variables associated to the proper-time gauge have a prominent role in the specification of position. We emphasize that physically acceptable states are necessarily associated with the existence of a temporal uncertainty.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The causality issues concerning the localization of relativistic quantum systems, as evidenced by Hegerfeld's paradox, are addressed through a proper-time formalism of single-particle operators. Starting from the premise that physical variables associated to the proper-time gauge have a prominent role in the specification of position, since they do not depend on classical parameters connected to an external observer, we obtain a single-particle formalism in which localization is described by explicitly covariant four-vector operators associated with POVM measurements parametrized by the system's proper-time. Among the consequences of this result, we emphasize that physically acceptable states are necessarily associated with the existence of a temporal uncertainty and their proper-time evolution is not subject to the causality violation predicted by Hegerfeldt.

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