%0 Journal Article
%T A Simple Factor in Canonical Quantization Yields Affine Quantization Even for Quantum Gravity
%A John R. Klauder
%J Journal of High Energy Physics, Gravitation and Cosmology
%P 1328-1332
%@ 2380-4335
%D 2021
%I Scientific Research Publishing
%R 10.4236/jhepgc.2021.74082
%X Canonical quantization (CQ) is built around [<i>Q</i>, <i>P</i>] = <i>i&hstrok;</i>1l , while affine quantization (AQ) is built around [<i>Q</i>,<i>D</i>] = <i>i&hstrok;Q</i>, where <i>D</i> ¡Ô (<i>PQ</i> +<i>QP</i>) / 2 . The basic CQ operators must fit -¡Þ &lt; <i>P</i>, <i>Q</i> &lt; ¡Þ , while the basic AQ operators can fit -¡Þ &lt; <i>P</i> &lt; ¡Þ and 0 &lt; <i>Q</i> &lt; ¡Þ , -¡Þ &lt; <i>Q</i> &lt; 0 , or even -¡Þ &lt; <i>Q</i> ¡Ù 0 &lt; ¡Þ . AQ can also be the key to quantum gravity, as our simple outline demonstrates.
%K Canonical Quantization (CQ)
%K Affine Quantization (AQ)
%K Quantum Gravity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=112366