Resolving the black hole information paradox

TL;DR

This paper proposes a new criterion limiting the domain of classical gravity, suggesting that black hole formation and evaporation are unitary processes, with potential implications for early Universe cosmology.

Contribution

It introduces a novel criterion based on hypersurface stretching that challenges semiclassical reasoning about black hole information loss.

Findings

Supports unitarity of black hole processes

Suggests constraints on classical gravity hypersurfaces

Implications for early Universe physics

Abstract

The recent progress in string theory strongly suggests that formation and evaporation of black holes is a unitary process. This fact makes it imperative that we find a flaw in the semiclassical reasoning that implies a loss of information. We propose a new criterion that limits the domain of classical gravity: the hypersurfaces of a foliation cannot be stretched too much. This conjectured criterion may have important consequences for the early Universe.