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Infinite Temperature's Not So Hot
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Infinite Temperature's Not So Hot
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It has been argued that the entanglement spectrum of a static patch of de Sitter space must be flat, or what is equivalent, the temperature parameter in the Boltzmann distribution must be infinite. This seems absurd: quantum fields in de Sitter space have thermal behavior with a finite temperature proportional to the inverse radius of the horizon. The resolution of this puzzle is that the behavior of some quantum systems can be characterized by a temperature-like quantity which remains finite as the temperature goes to infinity. For want of a better term we have called this quantity tomperature. In this paper we will explain how tomperature resolves the puzzle in a proposed toy model of de Sitter holography -- the double-scaled limit of SYK theory.
Forward citations
Cited by 16 Pith papers
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The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
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Holograms and Standard Models
DSSYK∞ at infinite temperature duals in the flat-space limit to the 't Hooft model, and holographic entropy at TB=∞ forbids quantum corrections to the vacuum energy.
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q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.
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q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of double-scaled SYK yield transfer matrices for orthogonal polynomials whose semiclassical chord dynamics map to ER bridges and new geometric transitions in sine dilaton gravity.
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Emergent States and Algebras from the Double-Scaling limit of Pure States in SYK
In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
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An Algebra of Observables for de Sitter Space
Defines a Type II₁ algebra of gravitationally dressed observables in de Sitter static patch whose entropy matches generalized entropy up to a state-independent additive constant.
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The yes boundaries wavefunctions of the universe
A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.
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An observer's quantization of 3d de Sitter
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on...
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3D near-de Sitter gravity and the soft mode of DSSYK
The soft mode of DSSYK is dual to 3D near-de Sitter gravity with a localized dS2 slice, where effective actions, entropies, and correlators match via conformal boundary conditions on future and past infinity.
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The yes boundaries wavefunctions of the universe
Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that includ...
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Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-ener...
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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 specif...
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Towards a microscopic description of de Sitter dynamics
An SYK-based quantum system reproduces semiclassical correlators of quantum fields in rigid de Sitter space and non-trivial OTOC features including a doubled Lyapunov exponent.
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Von Neumann Algebras in Double-Scaled SYK
Double-scaled SYK chord algebra is a Type II₁ factor whose empty state is tracial, cyclic, and separating.
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Holographic complexity of de-Sitter black holes
In SdS black hole holography, CV and CV2.0 complexities grow linearly while CA growth vanishes due to finite action, with matching rates between static patch and dS/CFT schemes.
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Probing the Chaos to Integrability Transition in Double-Scaled SYK
A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-inte...
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