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Notes on Spacetime Thermodynamics and the Observer-dependence of Entropy

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arxiv hep-th/0310022 v2 pith:5RLHQXR3 submitted 2003-10-02 hep-th gr-qcquant-ph

Notes on Spacetime Thermodynamics and the Observer-dependence of Entropy

classification hep-th gr-qcquant-ph
keywords entropyassignedaccelerateddiffereffectgivenimplicationsobservers
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Due to the Unruh effect, accelerated and inertial observers differ in their description of a given quantum state. The implications of this effect are explored for the entropy assigned by such observers to localized objects that may cross the associated Rindler horizon. It is shown that the assigned entropies differ radically in the limit where the number of internal states $n$ becomes large. In particular, the entropy assigned by the accelerated observer is a bounded function of $n$. General arguments are given along with explicit calculations for free fields. The implications for discussions of the generalized second law and proposed entropy bounds are also discussed.

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Cited by 3 Pith papers

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  1. Universality of Magic in Local Quantum Field Theory

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    In any local QFT, vacuum-like states have non-flat entanglement spectra because local algebras are type III₁, so no stabilizer state can flow to them in the continuum: QFT states necessarily carry magic.

  2. Bounding relative entropy for non-unitary excitations in quantum field theory

    math-ph 2026-04 unverdicted novelty 6.0

    Convexity of non-commutative L^p norms yields bounds on relative entropy for arbitrary excitations of faithful states in general von Neumann algebras, with uniform boundedness proven for single-particle states of the ...

  3. Unitarity Entropy Bound: Solitons and Instantons

    hep-th 2019-07 unverdicted novelty 6.0

    Solitons and instantons saturate a unitarity-derived entropy bound with entropy equal to their area, providing a non-gravitational analog of black-hole entropy.