We analyze physical spacings between locations of safety rest areas on interstates in the United States. We show normalized safety rest area spacings on major interstates exhibit Wigner surmise statistics, which align with the eigenvalue spacings for the Gaussian Unitary Ensemble from random matrix theory as well as the one-dimensional gas interactions via the Coulomb potential. We identify economic and geographic regional traits at the state level that exhibit Poissonian statistics, which become more pronounced with increased geographical obstacles in interstate travel. Other regional filters (e.g., historical or political) produced results that did not diverge substantially from the overall Wigner surmise model.

翻译：本文分析了美国州际公路沿线安全休息区位置间的物理间距。我们发现，主要州际公路上归一化的安全休息区间距呈现维格纳猜想统计特征，这与随机矩阵理论中高斯酉系综的本征值间距及库仑势作用下的一维气体相互作用规律相一致。在州级层面，我们识别出呈现泊松统计特征的经济与地理区域特质——随着州际旅行中地理障碍的增加，这些特征愈发显著。其他区域过滤条件（如历史或政治因素）产生的结果，并未显著偏离整体维格纳猜想模型。