Penrose singularity theorems imply that, if energy conditions are satisfied in closed trapped surfaces, gravitational singularities are unavoidable. In other words, considering General Relativity alone, it directly suggests that energy conditions must be violated to solve the gravitational singularities. These energy conditions are constraints on the existence of negative energy densities or negative masses. According to both Newtonian gravity and General Relativity, negative masses are gravitationally repulsive. Black hole’s gravitational singularities can be avoided if their interior contain only negative masses and energies from unitary time transformations of relativistic quantum mechanics and antichronous transformations of the full Lorentz group, which if taking place at event horizons, respect Einstein’s equivalence principle and only violate the strong equivalence principle. The runaway motion between positive and negative masses is naturally avoided through the properties of black holes, by which negative interior masses cannot interact with positive exterior masses.
On Regular Negative Mass Black Holes Under Unitary Time and Proper Antichronous Transformations
A non-singular black hole solution is presented which violates energy conditions only at its interior by postulating a shift to negative energies and antigravitational negative masses at the event horizon, respecting Einstein’s equivalence principle and avoiding the runaway motion paradox. This shift is the unitary parity-time transformation of relativistic quantum mechanics and the proper antichronous transformation of the full Lorentz group.