TITLE:
Cosmic Dark Energy Density from Classical Mechanics and Seemingly Redundant Riemannian Finitely Many Tensor Components of Einstein’s General Relativity
AUTHORS:
Mohamed El Naschie
KEYWORDS:
Semi Classical Quantum Systems, Dark Energy, Accelerated Cosmic Expansion, Riemannian Tensor, Infinite Dimensional Topology, Nonlocal Elasticity
JOURNAL NAME:
World Journal of Mechanics,
Vol.4 No.6,
June
27,
2014
ABSTRACT:
We
determine the limit of the ratio formed by the independent components of the
Riemann tensor to the non-zero component as space dimensionality tends to infinity
and find it to be 12. Subsequently we use this result in conjunction with
Newtonian classical mechanics to show that the ordinary measurable cosmic
energy density is given by
while the dark energy density is obviously the
Legendre transformation dual energy E(D) = 1 -E(O). The result is in
complete agreement with the COBE, WMAP and type 1a supernova measurements.