Black Hole Information vs. Locality

TL;DR

This paper explores the limitations of spacetime measurement near black hole horizons, suggesting that large black holes cannot be fully described by local field theory, which implies potential information loss during black hole evolution.

Contribution

It introduces a new interpretation of black hole entropy proportional to area with a universal constant, challenging local field theory descriptions.

Findings

Measurement limitations near horizon are of the order of the black hole radius.

Local field theory cannot fully describe black hole formation and evaporation.

Proposes a new entropy-area relation S=cA with a universal constant.

Abstract

We discuss the limitations on space time measurement in the Schwarzchild metric. We find that near the horizon the limitations on space time measurement are of the order of the black hole radius. We suggest that it indicates that a large mass black hole cannot be described by means of local field theory even at macroscopic distances and that any attempt to describe black hole formation and evaporation by means of an effective local field theory will necessarily lead to information loss. We also present a new interpretation of the black hole entropy which leads to $S=cA$ , where $c$ is a constant of order $1$ which does not depend on the number of fields.