Is Loop Quantum Gravity a Physically Correct Quantization?

TL;DR

This paper critically examines loop quantum gravity using Dirac's rule, revealing it violates fundamental quantization principles and suggesting directions for developing valid quantum gravity theories.

Contribution

It demonstrates that loop quantum gravity violates Dirac's rule, challenging its validity as a proper quantization method and proposing ways to construct consistent quantum gravity models.

Findings

Loop quantum gravity fails Dirac's rule in quantization.

Violations lead to invalid quantum gravity models.

Suggestions for creating valid quantum gravity theories.

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.