Abstract
The Cosmic Fabric model of gravity that was previously introduced by Tenev and Horstemeyer [T. G. Tenev and M. F. Horstemeyer, Int. J. Mod. Phys. D 27 (2018) 1850083; Rep. Adv. Phys. Sci. 2 (2018) 1850011] is further developed to provide a method for deriving the spacetime metric of the fabric's deformation due to a spherically symmetric gravitating body. We show that the derived metric is equivalent to the Schwarzschild metric up to a rescaling factor. From analyzing the membrane portion of the elastic energy due to an inclusion, we conclude that matter cannot be continuous at arbitrary sizes but must comprise discrete particles. Therefore, we show that the Cosmic Fabric model leads to results consistent with accepted theories at both continuum as well as sub-continuum length scales.
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