How to Secure Valid Quantizations.

Entropy (Basel)

Department of Physics, University of Florida, Gainesville, FL 32611-8440, USA.

Published: September 2022

Canonical quantization has created many valid quantizations that require infinite-line coordinate variables. However, the half-harmonic oscillator, which is limited to the positive coordinate half, cannot receive a valid canonical quantization because of the reduced coordinate space. Instead, affine quantization, which is a new quantization procedure, has been deliberately designed to handle the quantization of problems with reduced coordinate spaces. Following examples of what affine quantization is, and what it can offer, a remarkably straightforward quantization of Einstein's gravity is attained, in which a proper treatment of the positive definite metric field of gravity has been secured.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9600740PMC
http://dx.doi.org/10.3390/e24101374DOI Listing

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