Solitons and instantons saturate a unitarity-derived entropy bound with entropy equal to their area, providing a non-gravitational analog of black-hole entropy.
Notes on Spacetime Thermodynamics and the Observer-dependence of Entropy
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abstract
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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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 chiral current.
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Unitarity Entropy Bound: Solitons and Instantons
Solitons and instantons saturate a unitarity-derived entropy bound with entropy equal to their area, providing a non-gravitational analog of black-hole entropy.
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Bounding relative entropy for non-unitary excitations in quantum field theory
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 chiral current.