On Arithmetic Detection of Grey Pulses with Application to Hawking Radiation

Micron-sized black holes do not necessarily have a constant horizon temperature distribution. The black hole remote-sensing problem means to find out the ‘surface’ temperature distribution of a small black hole from the spectral measurement of its (Hawking) grey pulse. This problem has been previously considered by Rosu, who used Chen’s modified Moebius inverse transform. Here, we hint on a Ramanujan generalization of Chen’s modified Moebius inverse transform that may be considered as a special wavelet processing of the remote-sensed grey signal coming from a black hole or any other distant grey source.