Dynamics of magnetic shells and information loss problem

TL;DR

This paper studies magnetic thin-shell dynamics in AdS space, showing how oscillatory solutions can preserve information through quantum tunneling, offering insights into the black hole information loss paradox.

Contribution

It introduces a model of magnetic shells in AdS space with oscillatory solutions that can tunnel to different states, providing a potential resolution to information loss.

Findings

Oscillating shells can tunnel to collapsing or bouncing states.

Quantum tunneling allows the wave function to preserve information.

Infinite classical histories emerge from oscillating shell tunneling.

Abstract

We investigate dynamics of magnetic thin-shells in three dimensional anti de Sitter background. Because of the magnetic field, an oscillatory solution is possible. This oscillating shell can tunnel to a collapsing shell or a bouncing shell, where both of tunnelings induce an event horizon and a singularity. In the entire path integral, via the oscillating solution, there is a non-zero probability to maintain a trivial causal structure without a singularity. Therefore, due to the path integral, the entire wave function can conserve information. Since an oscillating shell can tunnel after a number of oscillations, in the end, it will allow an infinite number of different branchings to classical histories. This system can be a good model of the effective loss of information, where information is conserved by a solution that is originated from gauge fields.