Stefan Hollands

collaborators

4 papers

math-ph2026

Bekenstein's bound for wave packets

Stefan Hollands, Roberto Longo, Gerardo Morsella

Let $B$ be a spatial region of width $2 R$ and $Φ$ a Klein-Gordon wave packet localized in $B$ at time zero. We show the inequality $S \leq 2 π R E$ ; here, $S$ is the entropy of $Φ$ c…

hep-th2025

Modular Time Evolution and the QNEC

Stefan Hollands

We establish an inequality restricting the evolution of states in quantum field theory with respect to the modular flow of a wedge, $Δ^{i s}$ , for large $∣ s ∣$ . Our bound is related…

hep-th2025

A New Proof of the QNEC

Stefan Hollands, Roberto Longo

We give a simplified proof of the quantum null energy condition (QNEC). Our proof is based on an explicit formula for the shape derivative of the relative entropy, with respect to…

hep-th2025

Bekenstein Bound for Approximately Local Charged States

Stefan Hollands, Roberto Longo

We generalize the energy-entropy ratio inequality in quantum field theory (QFT) established by one of us from localized states to a larger class of states. The states considered in…