TITLE:
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
AUTHORS:
Mohamed S. El Naschie
KEYWORDS:
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
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.4 No.2,
May
14,
2014
ABSTRACT: 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.