Singularities From Entropy

Understand

Assuming the Bousso bound, we prove a singularity theorem: if the light rays entering a hyperentropic region contract, then at least one light ray must be incomplete.

• "Hyperentropic" means that the entropy of the region exceeds the Bekenstein-Hawking entropy of its spatial boundary.
• Our theorem provides a direct link between singularities and quantum information.
• The hyperentropic condition replaces the noncompactness assumption in Penrose's theorem, so our theorem is applicable even in a closed universe.