TITLE:
The hyperbolic Extension of Sigalotti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy
AUTHORS:
M. S. El Naschie
KEYWORDS:
Dark Energy; Quantum Relativity; Dark Dimensions; Hyperbolic Geometry; WMAP Measurement; Supernova Analysis; Ordinary Energy of Quantum Particles; Dark Energy of Quantum Wave
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.3,
March
21,
2013
ABSTRACT: Previous work by Sigalotti in 2006 and recently by Hendi and Sharifzadeh in 2012 showed that all the fundamental equations of special relativity may be derived from a golden mean proportioned classical-Euclidean triangle and confirmed Einstein’s famous equation E=mc2. In the present work it is shown that exchanging the Euclidean triangle with a hyperbolic one an extended quantum relativity energy equation, namely , is obtained. The relevance of this result in understanding the true nature of the “missing” so-called dark energy of the cosmos is discussed in the light of the fact that the ratio of to E=mc2 is which agrees almost completely with the latest supernova and WMAP cosmological measurements. To put it succinctly what is really missing is a quantum mechanical factor equal 1/22 in Einstein’s purely relativistic equation. This factor on the other hand is derivable from the intrinsic hyperbolic Cantor set nature of quantum entanglement.