Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Valid Quantization: The Next Step

Version 1 : Received: 7 June 2022 / Approved: 8 June 2022 / Online: 8 June 2022 (14:50:45 CEST)
Version 2 : Received: 8 June 2022 / Approved: 14 June 2022 / Online: 14 June 2022 (09:51:02 CEST)

How to cite: Klauder, J. Valid Quantization: The Next Step. Preprints 2022, 2022060130. Klauder, J. Valid Quantization: The Next Step. Preprints 2022, 2022060130.


Canonical quantization is a wonderful procedure for selected problems, but there are many problems for which it fails. Affine quantization is a different procedure that has shown that it can solve many problems that canonical quantization cannot. Here, words like succeed and fail refer to whether the quantization results are correct or incorrect. This paper offers two simple examples that serve to introduce affine quantization, and compare studies of two different quantization procedures. Brief comments about field theory and gravity problems undergoing quantization by affine procedures completes the paper.


valid quantization; affine quantization; canonical quantization


Physical Sciences, Acoustics

Comments (1)

Comment 1
Received: 14 June 2022
Commenter: John Klauder
Commenter's Conflict of Interests: Author
Comment: Correction of various typographical errors.
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