A Simple Factor in Canonical Quantization yields Affine Quantization Even for Quantum Gravity

Abstract

Canonical quantization (CQ) is built around $[Q,P]=i\hslash 11$, while affine quantization (AQ) is built around $[Q,D]=i\hslash Q$, where $D\equiv (PQ+QP)/2$. The basic CQ operators must fit $-\infty <P,Q<\infty$, while the basic AQ operators can fit $-\infty <P<\infty$ and $0<Q<\infty$, $-\infty <Q<0$, or even $-\infty <Q\ne 0<\infty$. AQ can also be the key to quantum gravity, as our simple outline demonstrates.

6 pages; a simple introduction to affine quantization that even helps quantum gravity