A Topological Magueijo-Smolin Varying Speed of Light Theory, the Accelerated Cosmic Expansion and the Dark Energy of Pure Gravity

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 Ein- stein's special relativity famous formula E = mc 2 to a doubly special formula which includes the Planck energy as invariant to derive the ordinary energy density E(O) = mc 2 /22 and the dark en- ergy density E(D) = mc 2 (21/22) where m is the mass and c is 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.