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Mechanical conversion of the gravitational Einstein’s constant $$\kappa $$
Pramana ( IF 1.9 ) Pub Date : 2020-08-13 , DOI: 10.1007/s12043-020-01954-5
Izabel David

This study attempts to answer the question of what space is made of and explores in this objective the analogy between the Einstein’s gravitational geometrical theory in one- and two-dimensional linear deformations and a possible space material based on strain measures done on the Ligo or Virgo interferometers. It draws an analogy between the Einstein’s gravitational constant $$\kappa $$ and the Young’s modulus and Poisson’s ratio of an elastic material that can constitute the space fabric, in the context of propagation of weak gravitational waves. In this paper, the space is proposed to have an elastic microstructure of $$1.566\times 10^{-35}$$ m grain size as proposed in string theory, with an associated characteristic frequency f. The gravitational constant G is the macroscopic manifestation of the said frequency via the formula $$G = {\pi } {f}^{2} {/}\rho $$ , where $$\rho $$ is the density of the space material.

中文翻译:

引力爱因斯坦常数的机械转换 $$\kappa $$

本研究试图回答空间由什么构成的问题,并在此目标中探索爱因斯坦的一维和二维线性变形中的引力几何理论与基于对 Ligo 或 Virgo 进行的应变测量的可能空间材料之间的类比干涉仪。在弱引力波传播的背景下,它在爱因斯坦的引力常数 $$\kappa $$ 与可以构成空间结构的弹性材料的杨氏模量和泊松比之间进行了类比。在本文中,提出该空间具有如弦理论中提出的 $$1.566\times 10^{-35}$$ m 晶粒尺寸的弹性微观结构,并具有相关的特征频率 f。
更新日期:2020-08-13
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