Quantum Gravity, Constant Negative Curvatures, and Black Holes - Journal of High Energy Physics, Gravitation and Cosmology

JHEPGC > Vol.6 No.3, July 2020

Journal of High Energy Physics, Gravitation and Cosmology

Volume 6, Issue 3 (July 2020)

ISSN Print: 2380-4327 ISSN Online: 2380-4335

Google-based Impact Factor: 1.31 Citations

Quantum Gravity, Constant Negative Curvatures, and Black Holes ()

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Download as PDF (Size: 363KB) PP. 313-320

DOI: 10.4236/jhepgc.2020.63024 340 Downloads 1,032 Views Citations

Author(s)

John R. Klauder

Affiliation(s)

Department of Physics and Mathematics, University of Florida, Gainesville, FL, USA.

ABSTRACT

For purposes of quantization, classical gravity is normally expressed by canonical variables, namely the metric

and the momentum

. Canonical quantization requires a proper promotion of these classical variables to quantum operators, which, according to Dirac, the favored operators should be those arising from classical variables that formed Cartesian coordinates; sadly, in this case, that is not possible. However, an affine quantization features promoting the metric

and the momentric

to operators. Instead of these classical variables belonging to a constant zero curvature space (i.e., instead of a flat space), they belong to a space of constant negative curvatures. This feature may even have its appearance in black holes, which could strongly point toward an affine quantization approach to quantize gravity.

KEYWORDS

Affine Quantization, Quantum Gravity, Constant Fixed Curvatures, Black Holes

Share and Cite:

Klauder, J. (2020) Quantum Gravity, Constant Negative Curvatures, and Black Holes. Journal of High Energy Physics, Gravitation and Cosmology, 6, 313-320. doi: 10.4236/jhepgc.2020.63024.

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