Similarities Between Classical Timelike Geodesics in a Naked Reissner-Nordstrom Singularity Background and the Behaviour of Electrons in Quantum Theory

TL;DR

This paper explores the behavior of geodesics around a naked Reissner-Nordstrom singularity, drawing parallels with electron behavior in quantum theory, and suggests that such singularities are effectively cloaked by their repulsive nature.

Contribution

It demonstrates that naked singularities can be effectively cloaked by their repulsive properties and draws an analogy between classical geodesic behavior and quantum electron behavior.

Findings

Naked singularities are effectively cloaked by their repulsive nature.

The size of the singularity (electron) matches the classical electromagnetic radius.

Geodesic behavior shows similarities to quantum electron behavior.

Abstract

It is generally assumed that naked singularities must be physically excluded, as they could otherwise introduce unpredictable influences in their future null cones. Considering geodesics for a naked Reissner-Nordstrom singularity, it is found that the singularity is effectively clothed by its repulsive nature. Regarding electron as naked singularity, the size of the clothed singularity (electron) turns out to be classical electro-magnetic radius of the electron, to an observer falling freely from infinity, initially at rest. The size shrinks for an observer falling freely from infinity, with a positive initial velocity. For geodetic parameters corresponding to negative energy there are trapped geodesics. The similarity of this picture with that arising in the Quantum Theory is discussed.