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General Relativity and Quantum Cosmology

Title: Spectroscopy of the quantum black hole

Abstract: We develop the idea that, in quantum gravity where the horizon fluctuates, a black hole should have a discrete mass spectrum with concomitant line emission. Simple arguments fix the spacing of the lines, which should be broad but unblended. Assuming uniformity of the matrix elements for quantum transitions between near levels, we work out the probabilities for the emission of a specified series of quanta and the intensities of the spectral lines. The thermal character of the radiation is entirely due to the degeneracy of the levels, the same degeneracy that becomes manifest as black hole entropy. One prediction is that there should be no lines with wavelength of order the black hole size or larger. This makes it possible to test quantum gravity with black holes well above Planck scale.
Comments: RevTeX, 9 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
Journal reference: Phys.Lett. B360 (1995) 7-12
DOI: 10.1016/0370-2693(95)01148-J
Cite as: arXiv:gr-qc/9505012
  (or arXiv:gr-qc/9505012v1 for this version)

Submission history

From: Jacob D. Bekenstein [view email]
[v1] Wed, 10 May 1995 18:40:00 GMT (9kb)