Volume and Quantizations
Jerzy Lewandowski (Institute of Theoretical Physics, Warsaw University, and Max-Planck-Institut f\"ur Gravitationsphysik, Potsdam)
TL;DR
This paper compares different quantum volume operators in loop quantum gravity, clarifying their differences and applicability within a unified graph framework.
Contribution
It provides a clear comparison and unification of various quantum volume operators, explaining their differences and specific contexts of application.
Findings
Clarified differences between Rovelli-Smolin and other quantum volume operators
Unified notation for quantum volume operators in the graph framework
Explained the applicability of different operators to specific cases
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.
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