Are Classically Singular Spacetimes Quantum Mechanically Singular as Well?

Abstract

Are the classical singularities of general relativistic spacetimes, normally defined by the incompleteness of classical particle paths, still singular if quantum mechanical particles are used instead? This is the question we will attempt to answer for particles obeying the quantum mechanical wave equations for scalar, null vector and spinor particles. The analysis will be restricted to certain static general relativistic spacetimes that classically contain the mildest true classical singularities, quasiregular singularities.

Quantum Cosmology

“…As we have discussed above, a major motivation for the quantization of general relativity is the occurrence of singularities in generic physical models (but see [37,38] for alternative views). This is why a touchstone of any quantum theory of gravity is its ability to remove these singularities in some (still to be specified) sense.…”