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 JMP  Vol.4 No.3 , March 2013
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*
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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
Cite this paper: M. Naschie, "The hyperbolic Extension of Sigalotti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy," Journal of Modern Physics, Vol. 4 No. 3, 2013, pp. 354-356. doi: 10.4236/jmp.2013.43049.
References

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[2]   L. Sigalotti and A. Mejias, “The Golden Mean in Special Relativity,” Chaos, Solitons & Fractals, Vol. 30, No. 3, 2006, pp. 521-524. doi:10.1016/j.chaos.2006.03.005

[3]   A. Einstein, “The Meaning of Relativity,” Routledge, London, 2003.

[4]   M. S. El Naschie and L. Marek-Crnjac, “Deriving the Exact Percentage of Dark Energy Using a Transfinite Version of Nottale’s Scale Relativity,” International Journal of Modern Nonlinear Theory and Applications, Vol. 1, No. 4, 2012, pp. 118-124.

[5]   M. S. El Naschie, “Elementary Prerequisites for E-Infinity (Recommended Background Readings in Nonlinear Dynamics, Geometry and Topology,” Chaos, Solitons & Fractals, Vol. 30, No. 4, 2006, pp. 579-605. doi:10.1016/j.chaos.2006.03.030

[6]   M. S. El Naschie, “The Theory of Cantorian Spacetime and High Energy Particle Physics (An Informal Review),” Chaos, Solitons & Fractals, Vol. 41, No. 5, 2009, pp. 2635-2646. doi:10.1016/j.chaos.2008.09.059

[7]   E. J. Copeland, M. Sami and S. Tsujikawa, “Dynamics of Dark Energy,” 2006. arXiv:hep-th/0603057V3

[8]   M. S. El Naschie, “Quantum Entanglement as a Consequence of a Cantorian Micro-Spacetime Geometry,” Journal of Quantum Information Science, 2012. http://www.scirp.org/journal/jqis

[9]   N. D. Mermin, “Quantum Mysteries Refined,” American Journal of Physics, Vol. 62, No. 10, 1994, pp. 880-887. doi:10.1119/1.17733

 
 
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