Quantum black-hole kinks

TL;DR

This paper explores quantum black hole kinks, revealing instantons that describe black hole pairs across universes, with implications for the interconnectedness of our universe within a larger metauniverse.

Contribution

It introduces a quantum framework for black hole kinks, showing that black holes can form pairs across universes with specific quantum states, extending classical black hole solutions.

Findings

Existence of instantons with finite action for black hole pairs

Black holes in pairs act as anti-black holes to each other

Quantum states of black hole pairs resemble harmonic oscillators

Abstract

By allowing the light cones to tip over on hypersurfaces according to the conservation laws of an one-kink in static, Schwarzschild and five-dimensional black hole metrics, we show that in the quantum regime there also exist instantons whose finite imaginary action gives the probability of accurrence of the kink metric corresponding to single chargeless, nonrotating black holes taking place in pairs, joined on an interior surface beyond the horizon, with each hole residing in a diffrent universe. Evaluation of the thermal properties of each of the black holes in a neutral pair leads one to check that to an asymptotic abserver in either universe, each black hole is exactly the quantum-mechanically defined {\it anti-black hole} to the other hole in the pair. The independent quantum states of black holes in neutral pairs have been formulated by using the path integral method, and shown to be that of a harmonic oscillator. Our results suggest that the boundary condition of a single universe in the metauniverse is that this universe can never be self-contained and must always have at least one boundary which connects it to the rest of a self-contained metauniverse.