Complementarity for a Dynamical Black Hole

TL;DR

This paper challenges the traditional view of black hole complementarity by proposing a causal, holographic description where the interior is in the causal past of Hawking radiation, reconciling causality with black hole information flow.

Contribution

It introduces a causal, unitary framework for black hole evolution that incorporates the interior and radiation as causally connected, resolving apparent violations of causality.

Findings

Interior of black holes is in the causal past of Hawking radiation.

A unitary exterior description ensures causal information flow.

Holographic encoding on the stretched horizon explains information transfer.

Abstract

Black hole complementarity posits that the interior of a black hole is not independent from its Hawking radiation. This leads to an apparent violation of causality: the interior can be acausally affected by operators acting solely on the radiation. We argue that this perspective is misleading and that the black hole interior must be viewed as existing in the causal past of the Hawking radiation, despite the fact that they are spacelike separated in the semiclassical description. Consequently, no operation on the Hawking radiation -- no matter how complex -- can affect the experience of an infalling observer. The black hole interior and the radiation only appear spacelike separated in the semiclassical description because an infalling observer's ability to access complex information is limited; the chaotic dynamics on the horizon, as viewed from the exterior, then converts any effect caused by such an observer to information in the Hawking radiation which cannot be accessed at the semiclassical level. We arrive at the picture described above by considering a unitary exterior description in which the flow of information is strictly causal, which we extend to apply throughout the entire history of black hole evolution, including its formation. This description uses the stretched event horizon as an inner edge of spacetime, on which the information inside is holographically encoded. We argue that the global spacetime picture arises from coarse-graining over black hole microstates, and discuss its relationship with the exterior description.