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The Measure Concentration of Convex Geometry in a Quasi Banach Spacetime behind the Supposedly Missing Dark Energy of the Cosmos

American Journal of Astronomy and Astrophysics

Volume 2, Issue 6, November 2014, Pages: 72-77

Received: Nov. 10, 2014; Accepted: Nov. 24, 2014; Published: Jan. 6, 2015

Volume 2, Issue 6, November 2014, Pages: 72-77

Received: Nov. 10, 2014; Accepted: Nov. 24, 2014; Published: Jan. 6, 2015

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Author

Mohamed S. El Naschie, Dept. of Physics, University of Alexandria, Alexandria, Egypt

Abstract

Based on the Banach spaces motivated theory of convex geometry in high dimensionality we give a new confirmation of the derivation of the 95.5 per cent so called dark energy density of the cosmos. The result derives directly from the purely geometric-topological phenomenon of measure-mass concentration and gives an unqualified complete confirmation of our previous results including the hidden quantum nature of Einstein’s celebrated equation E = mc2. Thus the quantum dissection into ordinary energy of the quantum particle E(O) = mc2/22 and dark energy of the quantum wave E(D) = mc2(21/22) were validated by first a purely mathematical theorem of convex geometry and second by conservation of energy leading to E(O) + E(D) = mc2 as in Einstein’s special theory of relativity.

Keywords

Measure Concentration, Dvoretzky’s Theorem, High Dimensionality, Banach Spaces, E-Infinity Spectra, K-Theory, Dark Energy Cantorian-Fractal Spacetime, E Equals mc2 Divided by 22

To cite this article

Mohamed S. El Naschie,
The Measure Concentration of Convex Geometry in a Quasi Banach Spacetime behind the Supposedly Missing Dark Energy of the Cosmos, *American Journal of Astronomy and Astrophysics*.
Vol. 2, No. 6,
2014, pp. 72-77.
doi: 10.11648/j.ajaa.20140206.13

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