10 M ay 1 99 5 . G R - Q C - 9 50 50 12 Spectroscopy of the quantum

We develop the idea that, in quantum gravity where the horizon uctuates, a black hole should have a discrete mass spectrum with concomitant line emission. Simple arguments x 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 speciied 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.