Gravity does not naturally fit well with canonical quantization. Affine quantization is an alternative procedure that is similar to canonical quantization but may offer a positive result when canonical quantization fails to offer a positive result. Two basic examples given initially illustrate the power of affine quantization. These examples clearly point toward an affine quantization procedure that vastly simplifies a successful quantization of the most difficult part of quantum general relativity.
References
[1]
Klauder, J.R. (2012) Enhanced Quantization: A Primer. Journal of Physics A: Mathematical and Theoretical, 45, Article ID: 285304. https://doi.org/10.1088/1751-8113/45/28/285304
Klauder, J.R. (2018) Building a Genuine Quantum Gravity. arXiv: 1811.09582.
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Arnowitt, R., Deser, S. and Misner, C. (1962) The Dynamics of General Relativity. In: Witten, L., Ed., Gravitation: An Introduction to Current Research, Wiley & Sons, New York, 227. arXiv: gr-qc/0405109.
