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

Rodolfo Gambini·Rafael Porto·Jorge Pullin
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Abstract

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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Rodolfo Gambini, Rafael Porto, Jorge Pullin. 2003-02-16. Consistent discrete gravity solution of the problem of time: a model. https://doi.org/10.1142/9789812791238_0004

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