Quantum probing of singularities at event horizons of black holes

Abstract

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.

arXiv comment19 pages

References in corpus (5)

• Minimal length in Quantum Mechanics and non-Hermitian Hamiltonian systems
• Bound states and decay times of fermions in a Schwarzschild black hole background
• Uniqueness and Self-Conjugacy of Dirac Hamiltonians in arbitrary Gravitational Fields
• Quantum mechanics of stationary states of particles in a space-time of classical black holes
• Quantum mechanical equivalence of the metrics of a centrally symmetric gravitational field