Black Hole Information vs. Locality

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.

19 pages, final version to appear in Phys. Rev. D

References in corpus (6)

• The World as a Hologram
• Quantum gravity and minimum length
• A Generalized Uncertainty Principle in Quantum Gravity
• Black Hole Evaporation without Information Loss
• Time Measurement in Quantum Gravity
• Information Loss in Quantum Gravity Without Black Holes

Cited by in corpus (4)

• Time Dependence of Hawking Radiation Entropy
• Black Hole Remnants and the Information Loss Paradox
• GUP and the no-cloning theorem
• Black hole complementarity with the generalized uncertainty principle in gravity's rainbow