Quantum probing of singularities at event horizons of black holes

It is proved that coordinate transformations of the Schwarzschild metric to new static and stationary metrics do not eliminate the mode of a particle fall to the event horizon of a black hole. This mode is unacceptable for the quantum mechanics of stationary states.

Automated summary

It has been proved that coordinate transformations of the Schwarzschild metric to new static and stationary metrics do not eliminate the mode of a particle fall to the event horizon of a black hole, which is unacceptable for the quantum mechanics of stationary states.