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Entropy-area law and temperature of de Sitter horizons from modular theory

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arxiv 2311.13990 v2 pith:TCTVI3NH submitted 2023-11-23 hep-th gr-qcmath-phmath.MP

Entropy-area law and temperature of de Sitter horizons from modular theory

Edoardo D'Angelo , Markus B. Fr\"ob , Stefano Galanda , Paolo Meda , Albert Much , Kyriakos Papadopoulos This is my paper
classification hep-th gr-qcmath-phmath.MP
keywords temperaturediamondsentropyentropy-areahorizonmodularobserverquantum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive an entropy-area law for the future horizon of an observer in diamonds inside the static patch of de Sitter spacetime, taking into account the backreaction of quantum matter fields. We prove positivity and convexity of the relative entropy for coherent states using Tomita--Takesaki modular theory, from which the QNEC for diamonds follows. Furthermore, we show that the generalized entropy conjecture holds. Finally, we reveal that the local temperature which is measured by an observer at rest exhibits subleading quantum corrections with respect to the well-known cosmological horizon temperature $H/(2\pi)$.

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  1. Relative entropy for $\lambda \phi^4$ in the Rindler wedge

    hep-th 2026-07 accept novelty 6.5

    Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.