Abstract
Dirac's rule in which only special phase space variables should be promoted to operators in canonical quantization is applied to loop quantum gravity. For this theory, Dirac's rule is violated, and as a result loop quantum gravity fails the test to be a valid quantization. Indications are included on how to create and deal with valid versions of quantum gravity.
Highlights
Dirac’s rule in which only special phase space variables should be promoted to operators in canonical quantization is applied to loop quantum gravity
Dirac [1] asserts that the proper choice of the quantum Hamiltonian is the one which has been promoted from Cartesian coordinates as classical variables
We have focussed on a single degree of
Summary
Dirac’s rule in which only special phase space variables should be promoted to operators in canonical quantization is applied to loop quantum gravity. Dirac’s rule is violated, and as a result loop quantum gravity fails the test to be a valid quantization. 1. Dirac’s Rule for Canonical Quantization http://creativecommons.org/licenses/by/4.0/
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