Discrete quantum gravity in the framework of Regge calculus formalism

Details Discrete quantum gravity in the framework of Regge calculus formalism Discrete quantum gravity in the framework of Regge calculus formalism

2005-06-12

arxiv.org/abs/gr-qc/0506071v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 16 pages, to appear in JETP

Scientific paper

10.1134/1.2103210

An approach to the discrete quantum gravity based on the Regge calculus is discussed which was developed in a number of our papers. Regge calculus is general relativity for the subclass of general Riemannian manifolds called piecewise flat ones. Regge calculus deals with the discrete set of variables, triangulation lengths, and contains continuous general relativity as a particular limiting case when the lengths tend to zero. In our approach the quantum length expectations are nonzero and of the order of Plank scale $10^{-33}cm$. This means the discrete spacetime structure on these scales.

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