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.
Entanglement of General Subregions in Time-Dependent States
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In asymptotically AdS black holes with space-like singularities, late-time linear growth of time-like entanglement entropy is governed by a critical extremal surface inside the event horizon, with growth rates bounded by Kasner exponents under null and dominant energy conditions.
Timelike mutual information is positive and weak monotonicity holds for non-overlapping timelike subregions in AdS3-Vaidya holography, but the timelike strong subadditivity is violated for overlapping intervals while Araki-Lieb and subadditivity hold.
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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.