NS> Vol.6 No.16, November 2014Share on google_plusone_shareShare on facebookShare on googleShare on gmailMore Sharing Services12Open Access The Gap Labelling Integrated Density of States for a Quasi Crystal Universe Is Identical to the Observed 4.5 Percent Ordinary Energy Density of the Cosmos Download as PDF (Size:2578KB) HTML XML PP. 1259-1265 DOI: 10.4236/ns.2014.616115 288 Downloads 440 Views Author(s) Leave a commentMohamed S. El Naschie Affiliation(s) Department of Physics, University of Alexandria, Alexandria, Egypt. ABSTRACT Condense matter methods and mathematical models used in solving problems in solid state physics are transformed to high energy quantum cosmology in order to estimate the magnitude of the missing dark energy of the universe. Looking at the problem from this novel viewpoint was rewarded by a rather unexpected result, namely that the gap labelling method of integrated density of states for three dimensional icosahedral quasicrystals is identical to the previously measured and theoretically concluded ordinary energy density of the universe, namely a mere 4.5 percent of Einstein’s energy density, i.e. E(O) = mc2/22 where E is the energy, m is the mass and c is the speed of light. Consequently we conclude that the missing dark energy density must beE(D) = 1 － E(O) = mc2(21/22) in agreement with all known cosmological measurements and observations. This result could also be interpreted as a strong evidence for the self similarity of the geometry of spacetime, which is an expression of its basic fractal nature. KEYWORDS E-Infinity Theory, Fractal-Witten M-Theory, Gap Labelling Theorem, Density of States, Dark Energy Density,Noncommutative Geometry, K-Theory, Dimension Group Cite this paper El Naschie, M. (2014) The Gap Labelling Integrated Density of States for a Quasi Crystal Universe Is Identical to the Observed 4.5 Percent Ordinary Energy Density of the Cosmos. Natural Science, 6, 1259-1265. doi:10.4236/ns.2014.616115.
Posted on: Tue, 16 Dec 2014 09:56:07 +0000
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