无平均的斜坡、平台与虫洞，以及引力中的超非微扰结构
Ramp, Plateau, and Wormholes without Averaging, and Hyper-non-perturbative Structures in Gravity
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中文总结 AI 辅助
本文提出无平均的方法，通过光滑滤波器投影从微观数据中分离出量子混沌的斜坡、平台等宏观结构，还在引力侧给出相关超非微扰对象的对偶推导。
中文摘要 AI 辅助
量子混沌的普适特征——如谱形式因子中的斜坡与平台，以及斜坡涉及虫洞的引力对偶——被广泛解读为谱平均或系综平均的结果。本文遵循\uc118{Liu25c}的早期提议，发展了一种替代方法：这些现象是隐藏在不规则微观数据中的宏观光滑结构，可通过光滑滤波器投影分离。以半经典Gutzwiller迹公式为范例，我们说明如何在不借助系综或显式谱平均的半经典极限下，导出随机矩阵模型的诸多特征，包括斜坡、平台、谱曲线与单本征值瞬子。我们假设在全息系统的大N极限中存在最小的Gutzwiller类结构，并探究其结果。除导出斜坡与平台外，该Gutzwiller类结构还预言了态密度中普适的快速宏观振荡，以及超瞬子的可能存在，两者均包含1/N²的双指数项。在引力侧，我们展示时空虫洞如何构建涌现的超非微扰对象——如婴儿宇宙与虫洞凝聚体——它们在G_N中产生双指数效应，这与假设的边界Gutzwiller类结构相呼应，并为态密度中普适快速宏观振荡与谱平台提供了对偶引力推导。
英文摘要
Universal hallmarks of quantum chaos---such as the ramp and plateau in the spectral form factor---and the ramp's gravitational duals involving wormholes are widely interpreted as consequences of spectral or ensemble averaging. In this paper, following an earlier proposal of~\cite{Liu25c}, we develop an alternative approach: these phenomena arise as macroscopic smooth structures hidden within erratic microscopic data, which can be isolated through a smooth filter projection. Using the semiclassical Gutzwiller trace formula as a paradigmatic example, we illustrate how many features characteristic of random matrix models---including the ramp, the plateau, the spectral curve, and single-eigenvalue instantons---can be derived in the semiclassical limit without invoking ensemble or explicit spectral averages. We postulate the existence of a minimal Gutzwiller-like structure in the large-$N$ limit of holographic systems and explore its consequences. Beyond deriving the ramp and the plateau, this Gutzwiller-like structure predicts universal rapid macroscopic oscillations in the density of states and the possible existence of hyper-instantons, both of which involve double exponentials in $1/N^2$. On the gravity side, we demonstrate how spacetime wormholes enable the construction of emergent hyper-non-perturbative objects---such as baby-universe and wormhole condensates---which yield double exponential effects in $G_N$. This mirrors the postulated boundary Gutzwiller-like structure and provides a dual gravitational derivation of the universal rapid macroscopic oscillations in the density of states and the spectral plateau.
发表机构
- MIT Center for Theoretical Physics—a Leinweber Institute, Massachusetts Institute of Technology（麻省理工学院理论物理中心-莱因韦伯研究所）
机构由 AI 辅助整理，请以论文原文为准。
