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Scrambling in Double-Scaled SYK and De Sitter Space
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I want to call attention to a simple previously noted fact about the double-scaled version of the SYK model which suggests that it may be holographically dual to de Sitter space.
Forward citations
Cited by 6 Pith papers
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Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons
Pole-skipping in Schwarzschild-de Sitter predicts superluminal and imaginary butterfly velocities, confirmed by shock wave analysis, hinting at nonlocal and non-Hermitian dual dynamics.
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De Sitter Complexity Grows Linearly in the Static Patch
Timelike extremal volume in the de Sitter static patch gives a holographic complexity that grows linearly with time and is proportional to horizon entropy times temperature.
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Double-Scaled SYK, QCD, and the Flat Space Limit of de Sitter Space
Double-scaled SYK perturbation theory has a fixed lambda (flat-space) limit whose genus expansion mirrors the fixed gauge coupling limit of large N QCD.
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New Modes for Vector Bosons in the Static Patch
A massive vector boson in a de Sitter static patch has a stability edge at μ_v^2 = m_v^2 + 2(D-1)ℓ^{-2}, permitting naively tachyonic Lagrangian masses down to m_v^2ℓ^2 = -2(D-1).
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Non-perturbative corrections in the semi-classical limit of double-scaled SYK
Non-perturbative corrections in the small-coupling limit of the double-scaled SYK partition function are resummed into a cubic power of the Dedekind eta function, in both the low-energy and low-temperature limits.
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A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification
The claimed RL safety verification framework is absent from the manuscript; the body text is an unrelated high-energy physics paper about de Sitter horizon chaos.
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