%0 Journal Article
%T Chaotic Fractal Tiling for the Missing Dark Energy and Veneziano Model
%A L. Marek-Crnjac
%A M. S. El Naschie
%J Applied Mathematics
%P 22-29
%@ 2152-7393
%D 2013
%I Scientific Research Publishing
%R 10.4236/am.2013.411A2005
%X <p>
	<span>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 expres</span><span>sions turned out to be exactly equal to Einstein¡¯s iconic formula</span><span> <em>E</em> = <em>mc</em><sup>2</sup></span><span><span>. Consequently Einstein¡¯s formula makes no distinction
between ordinary and dark energy.</span></span> 
</p>
%K Hausdorff Dimension
%K Cantor Set
%K Dark Energy
%K K&#228
%K hler Manifold
%K Quantum Entanglement
%K Veneziano Model
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=39192