Quantum Coherence in Two Dimensions

TL;DR

This paper explores the implications of quantum coherence in two-dimensional black holes, discussing horizons, singularities, and the potential role of wormholes in preserving CPT invariance.

Contribution

It introduces a novel perspective on black hole evaporation and quantum coherence, linking horizons, singularities, and wormholes within a two-dimensional framework.

Findings

Positive energy radiation implies either a horizon or a naked singularity.

Presence of a horizon leads to loss of quantum coherence.

Wormholes could potentially restore CPT invariance.

Abstract

The formation and evaporation of two dimensional black holes are discussed. It is shown that if the radiation in minimal scalars has positive energy, there must be a global event horizon or a naked singularity. The former would imply loss of quantum coherence while the latter would lead to an even worse breakdown of predictability. CPT invariance would suggest that there ought to be past horizons as well. A way in which this could happen with wormholes is described.