Dark Energy Introduction

Thursday, December 26, 2013

Chaotic Fractal Tiling for the Missing Dark Energy and Veneziano Model

Chaotic Fractal Tiling for the Missing Dark Energy and Veneziano Model
Author(s)
L. Marek-Crnjac, M. S. El Naschie
The formula for the quantum amplitude of the Veneziano dual resonance model is shown to be formally analogous to the dimensionality of a K-theoretical fractal quotient manifold of the non-commutative geometrical type. Subsequently this analogy is used to deduce the ordinary energy of the quantum particle and the dark energy of the quantum wave. The results agree completely with cosmological measurements. Even more surprisingly the sum of both energy expressions turned out to be exactly equal to Einstein’s iconic formula E = mc2. Consequently Einstein’s formula makes no distinction between ordinary and dark energy.
KEYWORDS
Hausdorff Dimension; Cantor Set; Dark Energy; Kähler Manifold; Quantum Entanglement; Veneziano Model


Cite this paper
L. Marek-Crnjac and M. Naschie, "Chaotic Fractal Tiling for the Missing Dark Energy and Veneziano Model,"Applied Mathematics, Vol. 4 No. 11B, 2013, pp. 22-29. doi: 10.4236/am.2013.411A2005.
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