Share on google_plusone_shareShare on facebookShare on emailShare on gmailMore Sharing Services13 Open Access From Highly Structured E-Infinity Rings and Transfinite Maximally Symmetric Manifolds to the Dark Energy Density of the Cosmos DownloadDownload as PDF (Size:2562KB) HTML XML PP. 641-648 DOI: 10.4236/apm.2014.412073 174 Downloads 217 Views Author(s) Leave a comment Mohamed S. El Naschie1* Affiliation(s) 1Department of Physics, University of Alexandria, Alexandria, Egypt. ABSTRACT Starting from well established results in pure mathematics, mainly transfinite set theory, E-infinity algebra over operads, fuzzy manifolds and fuzzy Lie symmetry groups, we construct an exact Weyl scaling for the highly structured E-infinity rings corresponding to E-infinity theory of high energy physics. The final result is an exact expression for the energy density of the cosmos which agrees with previous analysis as well as accurate cosmological measurements and observations, such as COBE, WMAP and Planck. The paper is partially intended as a vivid demonstration of the power of pure mathematics in physics and cosmology. KEYWORDS Highly Structured Rings, E-Infinity, Loop Spaces, High Energy Physics, Dark Energy, Einstein Relativity, Fractal-Cantorian Spacetime, Nonlinear Dynamics, Quantum Chaos Cite this paper Naschie, M. (2014) From Highly Structured E-Infinity Rings and Transfinite Maximally Symmetric Manifolds to the Dark Energy Density of the Cosmos. Advances in Pure Mathematics, 4, 641-648. doi: 10.4236/apm.2014.412073. References [1] Weibel, P., Ord, G. and Rossler, O., Eds. (2005) Spacetime Physics and Fractality. Festschrift in Honour of Mohamed El Naschie on the Occasion of His 60th Birthday. Springer, Vienna-New York. [2] Yang, C.N. 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