Einstein’s General Relativity and Pure Gravity in a Cosserat and De Sitter-Witten Spacetime Setting as the Explanation of Dark Energy and Cosmic Accelerated Expansion

• 作者: Mohamed S. El Naschie
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: General RELATIVITY COSSERAT Micro-Polar Space Dark Energy Teleparellelism Witten’s M-THEORY De Sitter SPACETIME Killing-Yano Tensor Einstein-Cartan RELATIVITY PURE GRAVITY Kaluza-Klein Theory Nonlocal Elasticity 't Hooft-Veltman Renormalization
• 年，卷（期）: 2014,（2）
• 页码范围: 332-339
• 页数: 8页
• 分类号: O1

摘要

Ordinary energy and dark energy density are determined using a Cosserat-Cartan and killing-Yano reinterpretation of Einstein’s special and general relativity. Thus starting from a maximally symmetric space with 528 killing vector fields corresponding to Witten’s five Branes model in eleven dimensional M-theory we reason that 504 of the 528 are essentially the components of the relevant killing-Yano tensor. In turn this tensor is related to hidden symmetries and torsional coupled stresses of the Cosserat micro-polar space as well as the Einstein-Cartan connection. Proceeding in this way the dark energy density is found to be that of Einstein’s maximal energy mc2 where m is the mass and c is the speed of light multiplied with a Lorentz factor equal to the ratio of the 504 killing-Yano tensor and the 528 states maximally symmetric space. Thus we have E (dark) = mc2 (504/528) = mc2 (21/22) which is about 95.5% of the total maximal energy density in astounding agreement with COBE, WMAP and Planck cosmological measurements as well as the type 1a supernova analysis. Finally theory and results are validated via a related theory based on the degrees of freedom of pure gravity, the theory of nonlocal elasticity as well as ‘t Hooft-Veltman renormalization method.