The hyperbolic Extension of Sigalotti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy

M. S. El Naschie

Department of Physics, University of Alexandria, Alexandria, Egypt.

DOI: 10.4236/jmp.2013.43049                

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.

Keywords

Dark Energy; Quantum Relativity; Dark Dimensions; Hyperbolic Geometry; WMAP Measurement; Supernova Analysis; Ordinary Energy of Quantum Particles; Dark Energy of Quantum Wave

Conflicts of Interest

The authors declare no conflicts of interest.

References

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