Beyond the semi-classical description of black hole evaporation

Understand

In the semi-classical treatment, i.e.

• in a classical black hole geometry, Hawking quanta emerge from trans-Planckian configurations because of scale invariance.
• There is indeed no scale to stop the blue-shifting effect encountered in the backward propagation towards the event horizon.
• On the contrary, when taking into account the gravitational interactions neglected in the semi-classical treatment, a UV scale stopping the blue-shift could be dynamically engendered.