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

Published 6 Aug 2021 in gr-qc and quant-ph | (2108.04083v1)

Abstract: Canonical quantization (CQ) is built around $[Q,P]=i\hbar1!!1$, while affine quantization (AQ) is built around $[Q,D]=i\hbar\,Q$, 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 $-\infty<Q\neq0<\infty$. AQ can also be the key to quantum gravity, as our simple outline demonstrates.

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