Spectral Analysis of the Volume Operator in Loop Quantum Gravity

Details Spectral Analysis of the Volume Operator in Loop Quantum Gravity Spectral Analysis of the Volume Operator in Loop Quantum Gravity

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2800b&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Computer Science

Numerical Analysis

Scientific paper

We describe preliminary results of a detailed numerical analysis of the volume operator as formulated by Ashtekar and Lewandowski.2 Due to a simplified explicit expression for its matrix elements,3 it is possible for the first time to treat generic vertices of valence greater than four. It is found that the vertex geometry characterizes the volume spectrum.

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