Consistent discrete gravity solution of the problem of time: a model

Details Consistent discrete gravity solution of the problem of time: a model Consistent discrete gravity solution of the problem of time: a model

2003-02-16

arxiv.org/abs/gr-qc/0302064v1

Recent Developments in Gravity, K. Kokkotas, N. Stergioulas (eds), World Scientific (2003)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures

Scientific paper

The recently introduced consistent discrete lattice formulation of canonical general relativity produces a discrete theory that is constraint-free. This immediately allows to overcome several of the traditional obstacles posed by the ``problem of time'' in totally constrained systems and quantum gravity and cosmology. In particular, one can implement the Page--Wootters relational quantization. This brief paper discusses this idea in the context of a simple model system --the parameterized particle-- that is usually considered one of the crucial tests for any proposal for solution to the problem of time in quantum gravity.

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