Author(s)

Mohamed Salah El Naschie, Leila Marek-Crnjac, Mohamed Atef Helal, Ji-Huan He

Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt.
Department of Physics, Faculty of Science, University of Alexandria, Alexandria, Egypt.
Nantong Textile Institute, National Engineering Laboratory for Modern Silk, College of Textile and Clothing, Soochow University, Suzhou, China.
Technical School Center of Maribor, Maribor, Slovenia.

The paper presents a detailed analysis of ordinary and dark energy density of the cosmos based on two different but complimentary theories. First, and starting from the concept of the speed of light being an average over multi-fractals, we use Magueijo-Smolin’s ingenious revision of Einstein’s special relativity famous formula E = mc² to a doubly special formula which includes the Planck energy as invariant to derive the ordinary energy density E(O) = mc²/22 and the dark energy density E(D) = mc²(21/22) wheremis the mass andcis the speed of light. Second we use the topological theory of pure gravity to reach the same result thus confirming the correctness of the theory of varying speed of light as well as the COBE, WMAP and Type 1a supernova cosmological measurements.

Dark Energy, Quantum Gravity, Varying Speed of Light Theory, Energy of Quantum Wave, Quantum Non-Demolition

Naschie, M. , Marek-Crnjac, L. , Helal, M. and He, J. (2014) A Topological Magueijo-Smolin Varying Speed of Light Theory, the Accelerated Cosmic Expansion and the Dark Energy of Pure Gravity. Applied Mathematics, 5, 1780-1790. doi: 10.4236/am.2014.512171.