On the Magnetic Field, and Entropy Increase, in a Machian Universe
Marcelo Samuel Berman
备注：
6 pages including front cover. Submitted. In v.2, minor corrections have been made, while pointing that, in the adopted formalism, each form of energy, which contributes to the total energy of the Universe, when taken as fractions of the energy M, (c=1) remain constant in time, for the whole history of the Universe; this is of course also true for the lambda-driven Universe as found experimentaly by A.Riess and colaborators
By means of the experimental result on the present equipartition between background microwave radiation energy and that of the interstellar magnetic field, and by advancing a Machian relation for the magnetic field, which, differently than in other authors' papers, is valid for the entire spanlife of the Universe, implying that the magnetic field depends on the inverse radius of the Universe, we obtain a general formula such that B depends on the inverse of R . Our estimate for Planck's magnetic field is (1/1000) times the Sabbata and Sivaram's one. It is shown that the energy densities involved in the above problem are dependent on the inverse square of R . For radiation, this implies, as we show, that the total entropy of the Universe is increasing with expansion. In particular we show that R depends on the inverse square of T, where T is the absolute temperature, and the entropy is proportional to the 3/2 power of R .
Thermodynamics of interacting entropy-corrected holographic dark energy in a non-flat FRW universe
在圈量子宇宙学的框架下，通过对熵-面积关系的量子修正，提出了一种所谓的“熵修正全息暗能量“（ECHDE）来解释暗能量主导的宇宙.利用这一新定义，我们研究了它的物理特性，包括熵和能量守恒。我们描述了非平坦宇宙中ECHDE与暗物质相互作用的物理解释。得到了暗分量的相互作用项与热涨落之间的关系。我们的研究进一步推广了早期的作品[M. R. Setare和E.C. Vagenas，Phys. Lett. B 666（2008）111; B. Wang等人，Phys. Lett. #20062;，在这个方向？
