Discrete Quantum Gravity in the Regge Calculus Formalism

Journal Article · Thu Sep 01 00:00:00 EDT 2005 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/1.2103210· OSTI ID:20702632

Khatsymovsky, V M ^[1]

---

1. Budker Institute of Nuclear Physics, Siberian Division, Russian Academy of Sciences, pr. Akademika Lavrent'eva 11, Novosibirsk, 630090 (Russian Federation)

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{sup -33} cm, implying a discrete spacetime structure on these scales.

• OSTI ID: 20702632
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 3 Vol. 101; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GENERAL RELATIVITY THEORY
MATHEMATICAL MANIFOLDS
QUANTUM GRAVITY
REGGE CALCULUS
RIEMANN SPACE
SPACE-TIME