The Quantum Focusing Conjecture and the Improved Energy Condition

2023/10/22 by Ben-Dayan, Ido · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2310.14396

Abstract

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) T_kk≥ (ℏ)/(2πA)(S''_out-(1)/(2)θS'_out), 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.

Cited by

• Bounding field excursions along null geodesics with applications to cosmology
• Inflation from entropy

Related

• Tests of restricted Quantum Focusing and a new CFT bound
• Restricted Quantum Focusing
• Quantum focusing conjecture and the Page curve
• Singularities from Hyperentropic regions using the Quantum Expansion
• Discrete Max-Focusing