scholarly journals SOME CONSIDERATIONS ON DISCRETE QUANTUM GRAVITY

2012 ◽  
Vol 09 (02) ◽  
pp. 1260013
Author(s):  
S. J. GABRIELE GIONTI

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 jh 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.

2013 ◽  
Vol 23 ◽  
pp. 363-372
Author(s):  
S. J. GABRIELE GIONTI

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 jh 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.


2012 ◽  
Vol 27 (28) ◽  
pp. 1250164
Author(s):  
J. MANUEL GARCÍA-ISLAS

In the three-dimensional spin foam model of quantum gravity with a cosmological constant, there exists a set of observables associated with spin network graphs. A set of probabilities is calculated from these observables, and hence the associated Shannon entropy can be defined. We present the Shannon entropy associated with these observables and find some interesting bounded inequalities. The problem relates measurements, entropy and information theory in a simple way which we explain.


2008 ◽  
Vol 796 (3) ◽  
pp. 581-621 ◽  
Author(s):  
Eugenio Bianchi ◽  
Leonardo Modesto

1996 ◽  
Vol 47 (1-3) ◽  
pp. 621-624 ◽  
Author(s):  
Christian Holm ◽  
Wolfhard Janke

2017 ◽  
Vol 96 (8) ◽  
Author(s):  
Benjamin Bahr ◽  
Sebastian Klöser ◽  
Giovanni Rabuffo
Keyword(s):  

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