Quantum black holes and Planck's constant

Details Quantum black holes and Planck's constant Quantum black holes and Planck's constant

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4..995r&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, July 1, 1987, p. 995-1001.

Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Gravitation Theory, Plancks Constant, Quantum Mechanics, Particle Mass, Perturbation Theory, Space-Time Functions, Time Dependence

Scientific paper

It is shown that the Planck-scale black holes of quantum gravity must obey a consistency condition relating Planck's constant to the integral of the mass of the black holes over time, if the usual path integral formulation of quantum mechanics is to make sense on physical spacetime. It is also shown, using time-dependent perturbation theory in ordinary quantum mechanics, that a massless particle will not propagate on physical spacetime with the black holes present unless the same condition is met.

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