A Bekenstein-type bound in QFT
<|reference_start|>A Bekenstein-type bound in QFT: Let B be a spacetime region of width 2R > 0, and \phi a vector state localized in B. We show that the vacuum relative entropy of \phi, on the local von Neumann algebra of B, is bounded by 2\pi R-times the energy of the state \phi in B. This bound is model-independent and rigorous; it follows solely from first principles in the framework of translation covariant, local Quantum Field Theory on the Minkowski spacetime.<|reference_end|>
@article{longo2024a,
    title={A Bekenstein-type bound in QFT},
    author={Roberto Longo},
    journal={arXiv preprint arXiv:2409.14408},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.14408},
    primaryClass={math-ph cs.IT hep-th math.IT math.MP math.OA}
}