Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-07-28
Gen.Rel.Grav. 26 (1994) 1267-1275
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, Revtex, Journal-Ref.: Gen. Rel. Grav. 26, 1267 (1994)
Scientific paper
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.
Gaioli Fabian H.
Garcia Alvarez Edgardo T.
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