Einstein-Planck formula, equivalence principle, and black hole radiance

摘要

The presence of gravity implies corrections to the Einstein-Planck formula E = hv. This gives hope that the divergent blueshift in frequency, associated to the presence of a black hole horizon, could be smoothed out for the energy. Using simple arguments based on Einstein's equivalence principle, we show that this is only possible if a black hole emits, in a first approximation, not just a single particle, but thermal radiation.