牛顿宇宙的 Boltzmann 熵
Boltzmann entropy of a Newtonian Universe
AI总结：
本文在 Newtonian 宇宙学框架下，将宇宙学流体视为量子概率流体并利用等势面即等熵面的观点，提出 Boltzmann 熵的动力学估计，所得值略高但满足全息原理上界。
摘要：
本文在 Newtonian 宇宙学所提供的简化假设下，对宇宙的 Boltzmann 熵给出了一种动力学估计。我们首先将宇宙学流体建模为一个量子力学系统的概率流体。随后，遵循当前关于时空涌现的思想，我们将引力等势面视为等熵面。因此，引力熵正比于在描述宇宙物质内容的某个量子态中引力势的真空期望值。物质部分的熵也可以被计算出来。尽管所得熵值略高于现有估计，但我们的结果完全符合全息原理所设定的上界。
英文摘要：
A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology. We first model the cosmological fluid as the probability fluid of a quantum-mechanical system. Next, following current ideas about the emergence of spacetime, we regard gravitational equipotentials as isoentropic surfaces. Therefore gravitational entropy is proportional to the vacuum expectation value of the gravitational potential in a certain quantum state describing the matter contents of the Universe. The entropy of the matter sector can also be computed. While providing values of the entropy that turn out to be somewhat higher than existing estimates, our results are in perfect compliance with the upper bound set by the holographic principle.
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。
