Understanding the quantum singularity structure of Kerr spacetime

The well-known naked ring singularity in the overspinning Kerr spacetime is a timelike scalar curvature singularity. We expand upon the work by Gurtug and Halilsoy on the possible resolution of this singularity using quantum theory. Just as classical singularities are indicated by geodesic incompleteness, quantum singularities are indicated by ill-posed quantum wave propagation. We analyze the naked Kerr singularity by studying s-waves impinging on it in the equatorial plane and use a Weyl limit point - limit circle analysis to determine the essential self-adjointness of the spatial portion of a relativistic Klein-Gordon operator. As we verify the Gurtug-Halisoy analysis, we discuss the possible extensions and further uses of such quantum probes.