The problem of time in parametrized theories

A common feature of reparametrization invariant theories is the difficulty involved in identifying an appropriate evolution parameter and in constructing a Hilbert space on states. Two well known examples of such theories are the relativistic point particle and the canonical formulation of quantum g...

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Autores principales: Gaioli, Fabián Horacio, Garcia Alvarez, Edgardo
Publicado: 1994
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v26_n12_p1267_Gaioli
http://hdl.handle.net/20.500.12110/paper_00017701_v26_n12_p1267_Gaioli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00017701_v26_n12_p1267_Gaioli2023-06-08T14:21:32Z The problem of time in parametrized theories Gaioli, Fabián Horacio Garcia Alvarez, Edgardo A common feature of reparametrization invariant theories is the difficulty involved in identifying an appropriate evolution parameter and in constructing a Hilbert space on states. Two well known examples of such theories are the relativistic point particle and the canonical formulation of quantum gravity. The strong analogy between them (specially for minisuperspace models) is considered in order to stress the correspondence between the "localization problem" and the "problem of time," respectively. A possible solution for the first problem was given by the proper time formulation of relativistic quantum mechanics. Thus, we extrapolate the main outlines of such a formalism to the quantum gravity framework. As a consequence, a proposal to solve the problem of time arises. © 1994 Plenum Publishing Corporation. Fil:Gaioli, F.H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Garcia-Alvarez, E.T. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1994 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v26_n12_p1267_Gaioli http://hdl.handle.net/20.500.12110/paper_00017701_v26_n12_p1267_Gaioli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A common feature of reparametrization invariant theories is the difficulty involved in identifying an appropriate evolution parameter and in constructing a Hilbert space on states. Two well known examples of such theories are the relativistic point particle and the canonical formulation of quantum gravity. The strong analogy between them (specially for minisuperspace models) is considered in order to stress the correspondence between the "localization problem" and the "problem of time," respectively. A possible solution for the first problem was given by the proper time formulation of relativistic quantum mechanics. Thus, we extrapolate the main outlines of such a formalism to the quantum gravity framework. As a consequence, a proposal to solve the problem of time arises. © 1994 Plenum Publishing Corporation.
author Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
spellingShingle Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
The problem of time in parametrized theories
author_facet Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
author_sort Gaioli, Fabián Horacio
title The problem of time in parametrized theories
title_short The problem of time in parametrized theories
title_full The problem of time in parametrized theories
title_fullStr The problem of time in parametrized theories
title_full_unstemmed The problem of time in parametrized theories
title_sort problem of time in parametrized theories
publishDate 1994
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v26_n12_p1267_Gaioli
http://hdl.handle.net/20.500.12110/paper_00017701_v26_n12_p1267_Gaioli
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AT gaiolifabianhoracio problemoftimeinparametrizedtheories
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