TITLE:
Quantum Gravity, Constant Negative Curvatures, and Black Holes
AUTHORS:
John R. Klauder
KEYWORDS:
Affine Quantization, Quantum Gravity, Constant Fixed Curvatures, Black Holes
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.6 No.3,
June
3,
2020
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.