Late-time linear growth of holographic TEE is governed by an interior critical surface Ac whose existence is guaranteed by NEC under Kasner asymptotics, with vacuum maximizing real growth and minimizing imaginary part.
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Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
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Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents
Late-time linear growth of holographic TEE is governed by an interior critical surface Ac whose existence is guaranteed by NEC under Kasner asymptotics, with vacuum maximizing real growth and minimizing imaginary part.
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Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.