Volume and Quantizations

Abstract

The aim of this letter is to indicate the differences between the Rovelli-Smolin quantum volume operator and other quantum volume operators existing in the literature. The formulas for the operators are written in a unifying notation of the graph projective framework. It is clarified whose results apply to which operators and why.

8 pages

References in corpus (4)

• Quantum Theory of Gravity I: Area Operators
• Geometry Eigenvalues and Scalar Product from Recoupling Theory in Loop Quantum Gravity
• THE VOLUME OPERATOR IN DISCRETIZED QUANTUM GRAVITY
• Reality conditions inducing transforms for quantum gauge field theory and quantum gravity

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