The quantum focusing conjecture and the improved energy condition

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By rearranging its terms, the Quantum Focusing Conjecture (QFC) can be viewed as a quantum energy condition, and we can consider various limits. A recent restricted version is a limiting form where the quantum focusing vanishes Θ → 0, and has been proven for Braneworld scenario. As a result, we derive an improved quantum null energy condition (INEC) Tkk≥ħ2πASout′′−12θSout, that can be proven with field theory techniques. We sketch the beginning of a proof, and briefly discuss possible interpretations in the absence of one.

Original languageEnglish
Article number132
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 2024


  • Black Holes
  • Classical Theories of Gravity
  • Cosmological models
  • Models of Quantum Gravity


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