TITLE:
Quantum Physics Has a New, and Remarkable, Expansion
AUTHORS:
John R. Klauder
KEYWORDS:
Canonical and Affine Quantization, Different Simple Examples, Comments Regarding Field Theory and Gravity
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.9 No.2,
April
7,
2023
ABSTRACT: Canonical quantization has taught us great things. A common example is that of the harmonic oscillator, which is like swinging a ball on a string back and forth. However, the half-harmonic oscillator blocks the ball at the bottom and then it quickly bounces backwards. This second model cannot be correctly solved using canonical quantization. Now, there is an expansion of quantization, called affine quantization, that can correctly solve the half-harmonic oscillator, and offers correct solutions to a grand collection of other problems, which even reaches to field theory and gravity. This paper has been designed to introduce affine quantization: what it is, and what it can do.