Jacobson热力学方法在非黎曼几何中的经典引力应用：关于自然简单性的评述
Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature
AI总结：
本文扩展Jacobson的热力学方法到非黎曼几何，发现从爱因斯坦-希尔伯特作用量导出的理论（黎曼情况除外）并非自然选择，而加上挠率矢量二次项的理论在无非度规情况下可能被自然选中。
摘要：
三十年前，Ted Jacobson以一种非常吸引人的方法研究经典引力，令我们惊讶。根据他的观点，引力场方程是热力学第一定律应用于Rindler观测者的结果。Jacobson的方法是为黎曼几何制定的，我们想知道它对非黎曼几何的后果。我们探索的结果特别引人注目：我们发现从爱因斯坦-希尔伯特作用量导出的理论，可以说是“最简单的理论”，并不属于自然选择可用的引力理论池（黎曼情况除外）。在寻找唯一替代方案时，我们考虑了Lanczos-Lovelock引力理论公式中使用的假设。这两种方法共同指向从爱因斯坦-希尔伯特作用量加上挠率矢量二次项导出的理论，作为在无非度规的非黎曼情况下（当能量-动量张量被识别为其度规版本时）自然可能选择的理论。在完全非黎曼情况下（以及在前一种情况下当能量-动量张量被识别为其正则版本时），无法遵循相同的策略，因为这两种方法相互不一致。
英文摘要：
Three decades ago, Ted Jacobson surprised us with a very appealing approach to classical gravity. According to him, the gravitational field equations are the consequence of the first law of thermodynamics applied to a Rindler observer. Jacobson's approach being formulated for Riemannian geometries, we have wondered what its consequences would be for non-Riemannian geometries. The results of our quest have been particularly appealing: we have found that the theory that derives from the Einstein-Hilbert action, arguably ``the simplest one'', does not belong to the pool of gravitational theories available for Nature's selection (except in the Riemannian case). In the search of a unique alternative, we have considered the hypotheses employed in the formulation of the Lanczos-Lovelock theories of gravity. Together, the two approaches point towards the theory that derives from the Einstein-Hilbert action plus a term quadratic in the torsion vector as the one that would be selected by Nature in the non-Riemannian case without non metricity (when the energy-momentum tensor is identified as its metric version). The same strategy cannot be followed in the full non-Riemannian case (and in the previous case when the energy-momentum tensor is identified as its canonical version) as the two approaches are mutually inconsistent.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
