On Regular Negative Mass Black Holes Under Unitary Time and Proper Antichronous Transformations

TL;DR

This paper introduces a non-singular black hole model involving negative energies and masses at the horizon, derived from quantum mechanical transformations, which may explain black hole growth and resolve longstanding paradoxes.

Contribution

It presents a novel regular black hole solution based on unitary PT and antichronous transformations, addressing energy conditions and black hole formation issues.

Findings

Violates energy conditions only inside the black hole

Proposes a new growth mechanism independent of accretion

Addresses the size, formation, and information paradoxes

Abstract

A non-singular black hole solution is briefly presented which violates energy conditions only at its interior by postulating a consistent shift to negative energies and gravitationally repulsive negative masses at the event horizon. This shift is the unitary parity-time $PT$ transformation of relativistic quantum mechanics and the proper antichronous transformation of the full Lorentz group. The transformation at the event horizon respects Einstein's equivalence principle, and the considered negative mass interaction does not result in the runaway motion paradox or vacuum instability. The correspondence of these regular black holes with observed ones is studied by proposing another mechanism of black hole growth independent of accretion and merging due to interior increasing entropy, which attempts to solve the unexplained size and formation of high-redshift supermassive black holes, the intermediate mass gap, and the information paradox.