In this paper, we use the classical limit of the Standard-Model Extension to explore some generic features of Lorentz violation. This classical limit is formulated at the level of undergraduate physics. We first discuss the general equations of motion and then concentrate on three specific systems. First, we consider the theoretical aspects of pendulum motion in the presence of Lorentz violation, followed by some sample experimental results. The experimental bounds we achieve, in the range of 10−3, are not competitive with the current bounds from atomic clocks; rather, our experiment illustrates some common ideas and methods that appear in Lorentz-violation studies. We then discuss how Newton’s 2nd Law must be treated with caution in our model. Finally, we introduce a computational simulation of a binary star system that is perturbed by Lorentz-violating effects. This simulation shows some interesting behavior that could be the subject of future analytical studies.

中文翻译：

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本科经典力学层面的洛伦兹违规

在本文中，我们使用标准模型扩展的经典极限来探索洛伦兹违反的一些通用特征。这个经典极限是在本科物理水平制定的。我们首先讨论一般运动方程，然后集中讨论三个特定系统。首先，我们考虑存在洛伦兹破坏的钟摆运动的理论方面，然后是一些样本实验结果。我们实现的实验界限在 10-3 的范围内，与原子钟的当前界限没有竞争力；相反，我们的实验说明了洛伦兹违反研究中出现的一些常见想法和方法。然后我们讨论在我们的模型中必须如何谨慎对待牛顿第二定律。最后，我们介绍了一个受洛伦兹违反效应扰动的双星系统的计算模拟。该模拟显示了一些可能成为未来分析研究主题的有趣行为。