Quantum Gravity and Regge Calculus

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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8 pages, Latex with esprc2.sty, epsf.tex, 3 figures; contribution to the proceedings of the II meeting on Constrained Dynamics

Scientific paper

10.1016/S0920-5632(97)00354-X

This is an informal review of the formulation of canonical general relativity and of its implications for quantum gravity; the various versions are compared, both in the continuum and in a discretized approximation suggested by Regge calculus. I also show that the weakness of the link with the geometric content of the theory gives rise to what I think is a serious flaw in the claimed derivation of a discrete structure for space at the quantum level.

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