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arXiv 1406.3040gr-qc
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有无宇宙学常数宇宙中信息数N的Bekenstein界及其与宇宙学参数的关系

Bekenstein Bound of Information Number N and its Relation to Cosmological Parameters in a Universe with and without Cosmological Constant

Ioannis Haranas, Ioannis Gkigkitzis

摘要:

Bekenstein得到的是熵S的一个上限,并由此导出了信息数的一个界N。换句话说,这是包含在给定的有限空间区域内的信息,包括有限的能量。类似地,这可以被认为是完美地描述一个给定的物理系统到其量子水平所需的最大信息量。如果能量和空间区域是有限的,那么描述物理系统所需的信息数N也是有限的。在这封简短的信中,两个信息数的界限推导和比较两种类型的宇宙。首先,我们研究了一个没有宇宙学常数λ的宇宙和一个有宇宙学常数λ的宇宙。这是通过推导两个不同的关系来实现的,这两个关系将哈勃常数和宇宙学常数与信息数N联系起来。我们发现,两个宇宙中包含的信息数N是相同的,或者N1=N2,宇宙的总质量是信息数N的平方根,包含10E+122数量级的信息数N。最后,我们将Calogero量子化作用表示为信息数N的函数。我们还发现,在自引力系统中,nats中的信息数N是系统的总动能与总热能之比。

英文摘要:

Bekenstein has obtained is an upper limit on the entropy S, and from that, an information number bound N is deduced. In other words, this is the information contained within a given finite region of space that includes a finite amount of energy. Similarly, this can be thought as the maximum amount of information required to perfectly describe a given physical system down to its quantum level. If the energy and the region of space are finite then the number of information N required in describing the physical system is also finite. In this short letter two information number bounds are derived and compared for two types of universe. First, a universe without a cosmological constant lamda and second a universe with a cosmological constant lamda are investigated. This is achieved with the derivation of two different relations that connect the Hubble constant and cosmological constants to the number of information N. We find that the number of information N involved in a the two universes are identical or N1=N2, and that the total mass of the universe scales as the square root of the information number N, containing an information number N of the order of 10E+122. Finally, we expressed Calogero quantization action as a function of the number of information N. We also have found that in self gravitating systems the number of information N in nats is the ratio of the total kinetic to total thermal energy of the system.

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。

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