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Discrete quantum gravity in the Regge calculus formalism

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

We discuss an approach to the discrete quantum gravity in the Regge calculus formalism that was developed in a number of our papers. The Regge calculus is general relativity for a subclass of general Riemannian manifolds called piecewise flat manifolds. The Regge calculus deals with a discrete set of variables, triangulation lengths, and contains continuous general relativity as a special limiting case where the lengths tend to zero. In our approach, the quantum length expectations are nonzero and of the order of the Plank scale, 10−33 cm, implying a discrete spacetime structure on these scales.

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Authors and Affiliations

  1. Budker Institute of Nuclear Physics, Siberian Division, Russian Academy of Sciences, pr. Akademika Lavrent’eva 11, Novosibirsk, 630090, Russia

    V. M. Khatsymovsky

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  1. V. M. Khatsymovsky
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 128, No. 3, 2005, pp. 489–496.

Original Russian Text Copyright © 2005 by Khatsymovsky.

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Khatsymovsky, V.M. Discrete quantum gravity in the Regge calculus formalism. J. Exp. Theor. Phys. 101, 420–426 (2005). https://doi.org/10.1134/1.2103210

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  • DOI: https://doi.org/10.1134/1.2103210

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