非对易谱几何为强相互作用和电弱相互作用的标准模型提供了一个纯粹的几何解释，包括对希格斯场起源的几何解释。在这个框架内，引力、电弱力和强力都被描述为统一的非对易时空上的纯引力。在这项研究中，我们推断出一个约束的三个自由参数的模型，即在统一的耦合常数的特征，通过线性化的场方程的限制，由旋转引力源产生的弱引力场，并利用最近的实验数据。特别是，使用重力探测器B获得的数据，我们设置了一个下限的外尔项出现在非交换的光谱行动，即$β \gtrsim 10^{-6}$ m $^{-1}$。一旦我们使用来自扭秤实验的结果，该约束变得更强，导致$β \gtrsim 10^{4}$ m $^{-1}$。后者比迄今为止对曲率平方项施加的任何约束都强得多。
英文摘要：
Noncommutative spectral geometry offers a purely geometric explanation for the standard model of strong and electroweak interactions, including a geometric explanation for the origin of the Higgs field. Within this framework, the gravitational, the electroweak and the strong forces are all described as purely gravitational forces on a unified noncommutative space-time. In this study, we infer a constraint on one of the three free parameters of the model, namely the one characterising the coupling constants at unification, by linearising the field equations in the limit of weak gravitational fields generated by a rotating gravitational source, and by making use of recent experimental data. In particular, using data obtained by Gravity Probe B, we set a lower bound on the Weyl term appearing in the noncommutative spectral action, namely $β \gtrsim 10^{-6}$m$^{-1}$. This constraint becomes stronger once we use results from torsion balance experiments, leading to $β \gtrsim 10^{4}$m$^{-1}$. The latter is much stronger than any constraint imposed so far to curvature squared terms.
Constraining Light Scalar Field with Torsion-Balance Gravity Experiments
Henan International Joint Laboratory of MXene Materials Microstructure, College of Physics and Electronic Engineering, Nanyang Normal University（南阳师范学院物理与电子工程学院）；School of Mechanical Engineering and Electronic Information, China University of Geosciences（中国地质大学机械电子工程学院）；Research Center on Vector Optical Fields, Institute of Optics and Electronics, Chinese Academy of Sciences（中国科学院光电技术研究所）
Centerline Registration and Dimension-Dependent Optimization of Multistripe Torsion Balances for Nonminimal Lorentz Violation
College of Physics, Chongqing University（重庆大学物理学院）；National Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, and School of Physics, Huazhong University of Science and Technology（华中科技大学物理学院、引力教育部重点实验室）；School of Mathematics and Statistics, South-Central Minzu University（中南民族大学数学与统计学院）；School of Physics and Optoelectronic Engineering, Yangtze University（长江大学物理与光电工程学院）
Nanofabricated torsion pendulums for tabletop gravity experiments
National Institute of Standards and Technology（美国国家标准与技术研究院）；Wyant College of Optical Sciences, University of Arizona（亚利桑那大学怀特光学学院）；Department of Physics, University of Maryland（马里兰大学物理系）；Joint Quantum Institute/Joint Center for Quantum Information and Computer Science, University of Maryland-NIST（马里兰大学-美国国家标准与技术研究院联合量子研究所/联合量子信息与计算科学中心）
