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Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
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abstract
We develop the pole-skipping structure in de Sitter (dS) spacetime and find that their leading frequencies satisfy the relation $\omega_{dS}=i2\pi T_{dS}(1-s)$, where $T_{dS}=1/2\pi L$ and $s$ denotes spin. In the two-dimensional dS spacetime, the pole-skipping points near the cosmic horizon $r=L$ for the scalar field of spin-0 and the fermionic field of spin-$\frac{1}{2}$ correspond one-to-one with those in the classical limit as $\lambda\rightarrow 0$ in double-scaled Sachdev-Ye-Kitaev model when the temperature is infinite (DSSYK$_\infty$). This provides a numerical correspondence between quantum gravity in the static patch of two-dimensional dS spacetime and a one-dimensional quantum system, which we consider as a realization of the DS/dS correspondence.
Forward citations
Cited by 3 Pith papers
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High-Order Pole-Skipping in Near-Extremal Holography
In near-extremal holographic black holes, the n-th order pole-skipping momentum with mode index q becomes order-independent as T→0: k²_{n,q} → −m²h(r_h) + ½q(q−1)h(r_h)f″(r_h), with q identified as the AdS2 IR conform...
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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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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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