Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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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.
A non-unitary cMERA on a non-Hermitian fermion chain yields emergent de Sitter spacetime whose null horizons are encoded by zero-cost tensor links that reproduce the logarithmic entanglement entropy scaling.
Spacetime states unify path integrals, pseudo-density matrices, Page-Wootters, and related formalisms by showing they arise as particular evaluations or quantum channels from the same object.
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
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.
Supergravity truncations admit real-metric wormhole solutions via imaginary scalar extensions whose holographic duals are pseudo-Hermitian and PT-symmetric, interpretable as entangled brane states.
Scalar hair breaks the time-independence of imaginary HTEE, introduces nontrivial Δt dependence, causes analytic continuation to fail, and makes timelike subregion complexity real-valued with interior-only UV-finite contributions in BTZ.
citing papers explorer
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Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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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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Emergent de Sitter Space and Non-Unitary Tensor Networks from Non-Hermitian Quantum Criticality
A non-unitary cMERA on a non-Hermitian fermion chain yields emergent de Sitter spacetime whose null horizons are encoded by zero-cost tensor links that reproduce the logarithmic entanglement entropy scaling.
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Unifying spacetime approaches to quantum mechanics
Spacetime states unify path integrals, pseudo-density matrices, Page-Wootters, and related formalisms by showing they arise as particular evaluations or quantum channels from the same object.
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From quantum time to manifestly covariant QFT: On the need for a quantum-action-based quantization
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
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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.
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Supergravity flows, wormholes and their pseudo-Hermitian holographic duals
Supergravity truncations admit real-metric wormhole solutions via imaginary scalar extensions whose holographic duals are pseudo-Hermitian and PT-symmetric, interpretable as entangled brane states.
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Holographic timelike entanglement and subregion complexity with scalar hair
Scalar hair breaks the time-independence of imaginary HTEE, introduces nontrivial Δt dependence, causes analytic continuation to fail, and makes timelike subregion complexity real-valued with interior-only UV-finite contributions in BTZ.