Some Considerations on Discrete Quantum Gravity

Details Some Considerations on Discrete Quantum Gravity Some Considerations on Discrete Quantum Gravity

2011-10-07

arxiv.org/abs/1110.1575v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, FunInGeo Conference proceedings, Ischia-Italy, 08-12 June 2011; accepted for publication in the International Journal

Scientific paper

10.1142/S0219887812600134

Recent results in Local Regge Calculus are confronted with Spin Foam Formalism. Introducing Barrett-Crane Quantization in Local Regge Calculus makes it possible to associate a unique Spin $j_{h}$ with an hinge $h$, fulfilling one of the requirements of Spin Foam definition. It is shown that inter-twiner terms of Spin Foam can follow from the closure constraint in Local Regge Calculus. Dedicated to Beppe Marmo for his 65th Birthday

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