论文标题
从热力学中出现的牛顿重力的跨界
Crossover in extended Newtonian gravity emerging from thermodynamics
论文作者
论文摘要
在最近的一篇论文（Ván，P。; Abe，S。Physica A 2022，588，126505）中，已经发现，一个与流体结合的标量场，并被允许成为与第二种热力学定律一致性的热力学变量，这仅是重力的，并且是新顿坟墓的出现。这种新兴力的潜力的最终场方程是非线性的，并承认对数潜力作为单一解，这表明它与暗物质难题有关。在这里，对非线性场方程进行了一般分析。发现出现的力场表现出流体外1/r和1/r^2力之间的unshp跨界，具体取决于本理论的空间尺度特征，这些特征是在暗物质综合的背景下观察到的。然后，为新兴场的电势构建了动作函数，并且该场能被证明没有红外发散。还对Mond（修改后的牛顿动力学）的当前理论的差异发表了评论。
In a recent paper (Ván, P.; Abe, S. Physica A 2022, 588, 126505), it has been discovered that a scalar field coupled to a fluid and allowed to be a thermodynamic variable in consistency with the second law of thermodynamics is only gravitational and accordingly emergence of extended Newtonian gravity has been predicted. The resulting field equation for the potential of this emergent force is nonlinear and admits the logarithmic potential as a singular solution, suggesting its relevance to the dark matter conundrum. Here, a general analysis of the nonlinear field equation is performed. It is found that the emergent force field exhibits the unsharp crossover between the 1/r and 1/r^2 forces outside the fluid, depending on a spatial scale characteristic of the present theory to be observationally tested in the context of the dark matter conundrum. Then, the action functional is constructed for the potential of the emergent field and the field energy is shown to be free from an infrared divergence. A comment is also made on the difference of the present theory from MOND (modified Newtonian dynamics).
