AI 中文总结
该研究针对正宇宙学常数的JT引力，对比混合态与无边界波函数对经典膨胀宇宙的预测，发现符合全息原理的双trumpet振幅给出宇宙大小的平坦概率分布，与暴胀模型一致，区别于无边界波函数对大宇宙的抑制。
AI 中文摘要
具有正宇宙学常数的Jackiw-Teitelboim（JT）引力是研究从量子态中涌现膨胀德西特宇宙的玩具模型。其密度矩阵是双 trumpet 振幅的叠加，这些振幅是惠勒-德维特方程的解。我们将这类混合态对经典膨胀宇宙的预测与无边界波函数的相应预测进行比较。符合全息原理的双 trumpet 振幅，其半经典极限与施瓦茨边界涨落的结果匹配，会给出宇宙大小的平坦概率分布，这与暴胀模型一致。这与无边界波函数预测的大宇宙被抑制的情况形成对比。
英文摘要
Jackiw-Teitelboim (JT) gravity with positive cosmological constant is a toy model to study the emergence of expanding de Sitter universes from a quantum state. Its density matrix is a superposition of double-trumpet amplitudes which are solutions of a Wheeler-DeWitt equation. We compare predictions of such mixed states for classical expanding universes with the corresponding predictions of no-boundary wavefunctions. Double-trumpet amplitudes consistent with holography, whose semiclassical limit matches the result from Schwarzian boundary fluctuations, lead to a flat probability distribution for the size of the universe, consistent with models of inflation. This is in contrast to the suppression of large universes predicted by no-boundary wave functions.
Comments24 pages, 3 figures, LaTeX
