Abstract
We use a dual Einstein-Kaluza spacetime to calculate the exact energy density of dark energy and dark matter using a novel topological computation method. Starting from the said spacetime and ‘tHooft’s topological renormalon as well as the corresponding symmetry group, we show how the zero set quantum particle and the empty set quantum wave interact with the vacuum and give rise to pure dark energy and pure dark matter all along with ordinary energy density of the cosmos. The consistency of the exact calculation and the accurate observations attests to the reality of ‘tHooft’s renormalon dark matter, pure dark energy and accelerated cosmic expansion.
Highlights
Introduction and MotivationLet us stand by outlining the motivation and background leading to the present paper using the mathematical principles of E-infinity Cantorian fractal spacetime theory [1]-[6]; ‘tHooft’s dimensional regularization method [7]-[12] was developed to the point where it could be used to determine the exact density of dark energy and ordinary energy of the cosmos [13]-[28]
Starting from the said spacetime and ‘tHooft’s topological renormalon as well as the corresponding symmetry group, we show how the zero set quantum particle and the empty set quantum wave interact with the vacuum and give rise to pure dark energy and pure dark matter all along with ordinary energy density of the cosmos
The consistency of the exact calculation and the accurate observations attests to the reality of ‘tHooft’s renormalon dark matter, pure dark energy and accelerated cosmic expansion
Summary
Let us stand by outlining the motivation and background leading to the present paper using the mathematical principles of E-infinity Cantorian fractal spacetime theory [1]-[6]; ‘tHooft’s dimensional regularization method [7]-[12] was developed to the point where it could be used to determine the exact density of dark energy and ordinary energy of the cosmos [13]-[28]. The present work goes much further in the above direction and formalizes the handling of what may be called the renormalon topological computation machinery [12] [20] to the extent of determining the exact density of ordinary measurable energy and the exact dark energy which cannot be measured directly [13]-[21] and to the point that we were able to distinguish between the pure dark energy and pure dark matter energy density as well as their mutual coupling [2] and the coupling to the compactified holographic boundary of our universe. Last but by no means not least a new way of looking at a dual Einstein-Kaluza spacetime will lead to undreamed of simple solution of the dark matter and Dark Energy problem
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