Dark Energy and its Cosmic Density from Einstein’s Relativity and Gauge Fields Renormalization Leading to the Possibility of a New 'tHooft Quasi Particle

Abstract

Since in Euclidean and Riemannian continuous smooth geometry a point cannot rotate, it follows then that only a finite length line could rotate. Overlooking this simple evident and trivial point is the cause of most of the troubles associated with the general theory of relativity. Once realized, the situation could be resolved by going in the directions of Cartan-Einstein spacetime but all the way without wavering. The present work which represents also a short survey on the subject combines the mental picture afforded by Cosserat micro-polar spacetime with that of Cartan-Einstein spacetime as well as the Cantorian-fractal spacetime proposal. In the course of doing that we resolve the major problem of dark energy. Various methods are used to validate our main results including 'tHooft-Veltman renormalization method. In particular the 'tHooft-Veltman-Wilson scheme suggests the possibility of two new exotic quasi-particles stemming from the fractal nature of quantum spacetime which resembles a transfinite cellular automata relevant to Auffray's xonic quantum physics.

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

“…It is still compact with a boundary at infinity [62][63][64][65][66][67][68][69][70]. This shows up clearly in the hyperbolic projection of E-infinity space which manifests itself as a modular fractal space of the Klein-Penrose type [68,69] as explained in great detail in previous older and more recent publications.…”

“…For us low dimensional creatures, the situation may strike us as paradoxical especially when we are making measurements of the total energy density of the cosmos. In this sense the COBE, WMAP and Planck measurement [63][64][65][66][67][68][69][70][71][72][73][74][75][76] makes absolute sense when we realize that this 95.5% is related to the quantum wave of the universe which collapses on measurement and cannot be detected but can be indirectly inferred from cosmological observations extended to the edge of the universe .…”

On a Fractal Version of Witten’s M-Theory

“…The only value which cannot be measured experimentally is1 1 α = .This is actually a very good reason to believe in our theory because without4 1 α = consistency is lost. In other words we must have[30]-[33] [41][42]…”

High Energy Physics and Cosmology as Computation

“…In this dissection the first part is the energy of the quantum particle which is about 4.5% of total energy and since it can be measured it was found that it is nothing but the ordinary energy found by COBE and WMAP cosmological measurements [113]. By contrast the second term is the 95.5% missing energy of the cosmos and is due to the peculiarity of the quantum wave rather than the quantum particle.…”