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Deriving E = mc2 /22 of Einstein’s Ordinary Quantum Relativity Energy Density from the Lie Symmetry Group SO (10) of Grand Unification of All Fundamental Forces and Without Quantum Mechanics

Received: 16 March 2014     Accepted: 25 April 2014     Published: 30 April 2014
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Abstract

In the present short letter we aim at deriving the cosmic ordinary effective quantum gravity energy density as well as that of dark energy from the SO (10) Lie symmetry group of grand unification. Remarkably the derivation makes no use of quantum mechanics and remains largely classical except for nonclassical geometry and topology. Finally our main conclusions and results are reinforced using a nonlocal classical elastic field theory.

Published in American Journal of Mechanics and Applications (Volume 2, Issue 2)
DOI 10.11648/j.ajma.20140202.11
Page(s) 6-9
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Einstein’s Quantum Gravity Energy, Dark Energy, Lie Symmetry Groups, Unification of Fundamental Forces

References
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[2] M.S. El Naschie, A unified Newtonian-relativistic quantum resolution of the supposedly missing dark energy of the cosmos and the constancy of the speed of light. Int. J. Modern Nonlinear Sci. & Application., 2(1), 2013, pp. 43-54.
[3] M.S. El Naschie, Pinched material Einstein spacetime produces accelerated cosmic expansion. Int. J. Astron. & Astrophys. 4(1), 2014, pp. 80-90.
[4] Graham, L. and Kantor, J.M.: Naming Infinity. The Belknap Press of Harvard University Press. Cambridge, Massachusetts, USA, 2009. (In particular see pages 87-89).
[5] Heller, M. and Woodin, W.H. (Editors): Infinity. Cambridge University Press, Cambridge, 2011.
[6] El Naschie, M.S.: The theory of Cantorian spacetime and high energy particle physics (an informal review). Chaos, Solitons & Fractals, 41(5), 2009, pp. 2635 – 2646.
[7] Penrose,R.: The Road to Reality. Jonathan Cape, London, 2004.
[8] Jammer, M.: Concepts of Space. Dover Publications, New York, (1993).
[9] El Naschie, M.S.: Superstrings, knots and noncommutative geometry in E ∞ space. Int. J. of Theoretical Phys., 37(12), 1998, pp. 2935-2951.
[10] El Naschie, M.S.: Einstein’s dream and fractal geometry. Chaos, Solitons & Fractals, 24(1), 2005, pp. 1-5.
[11] El Naschie, M.S.: On twisters in Cantorian E-infinity space. Chaos, Solitons & Fractals, 12(4), 2001, pp. 741-746.
[12] El Naschie, M.S.: The VAK of vacuum fluctuation, spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass spectrum. Chaos, Solitons & Fractals, 18(2), 2003, pp. 401-420.
[13] Challamel, N., Wang, C.M. and Eli-shakoff, I.: Discrete systems behave as nonlocal structural elements; bending buckling and vibra-tion analysis. Euro. J. Mech. A/Solids, 44, 2014, pp. 125-135.
[14] El Naschie, M.S.: Stress, Stability and Chaos in Structural Engineering: An Energy Approach. McGraw Hill Int. Editions Civil Eng. Series., London, Tokyo, 1990.
[15] Eringen, A.C. and Edelen, D.G.: On nonlocal elasticity. Int. J. Eng. Sci., 10(3), 1972, pp. 233-248.
[16] El Naschie, M.S.: El Naschie, M.S.: Logarithmic running of ‘t Hooft-Polyakov monopole to dark energy. Int. J. High Energy Phys. 1(1), 2014, pp. 1-5.
[17] El Naschie, M.S.: Capillary surface energy elucidation of the cosmic dark ener-gy-ordinary energy duality. Open J. Fluid Dynamics. 4(1), 2014, pp. 15-17.
[18] El Naschie, M.S.: On the need for fractal logic in high energy quantum physics. Int. J. Mod. Nonlinear Theory & Application. 1(3), 2012, pp. 84-92.
[19] El Naschie, M.S.: A resolution of cosmic dark energy via a quantum entanglement relativity theory. J. Quantum Info. Sci., 3(1), 2013, pp. 23-26.
[20] El Naschie, M.S.: Quantum entanglement: Where dark energy and negative gravity plus accelerated expansion of the universe comes from. J. of Quant. Info. Sci., 3, 2013, pp. 57-77. (See in particular Fig. No. 4, p. 62).
[21] El Naschie, M.S. and Helal, A.: Dark energy explained via the Hawking-Hartle quantum wave and the topology of cosmic crystallography. Int. J. Astronomy & Astrophys., 3(3), 2013, pp. 318-343.
[22] El Naschie, M.S.: Nash embedding of Witten’s M-theory and the Hawking-Hartle quantum wave of dark energy. J. Mod. Phys., 4, 2013, pp. 1417-1428.
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[25] El Naschie, M.S.: Calculating the exact experimental density of the dark energy in the cosmos assuming a fractal speed of light. Int. J. Modern Nonlinear Theory & Appli. 3, 2014, pp. 1-5.
[26] El Naschie, M.S.: Topological-geometrical and physiccal inter-pretation of the dark energy of the cosmos as a ‘halo’ energy of the Schrödinger quantum wave. J. Mod. Phys., 4(5) 2013, pp. 591-596. (See in particular part 5, p. 596).
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  • APA Style

    Mohamed S. El Naschie. (2014). Deriving E = mc2 /22 of Einstein’s Ordinary Quantum Relativity Energy Density from the Lie Symmetry Group SO (10) of Grand Unification of All Fundamental Forces and Without Quantum Mechanics. American Journal of Mechanics and Applications, 2(2), 6-9. https://doi.org/10.11648/j.ajma.20140202.11

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    ACS Style

    Mohamed S. El Naschie. Deriving E = mc2 /22 of Einstein’s Ordinary Quantum Relativity Energy Density from the Lie Symmetry Group SO (10) of Grand Unification of All Fundamental Forces and Without Quantum Mechanics. Am. J. Mech. Appl. 2014, 2(2), 6-9. doi: 10.11648/j.ajma.20140202.11

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    AMA Style

    Mohamed S. El Naschie. Deriving E = mc2 /22 of Einstein’s Ordinary Quantum Relativity Energy Density from the Lie Symmetry Group SO (10) of Grand Unification of All Fundamental Forces and Without Quantum Mechanics. Am J Mech Appl. 2014;2(2):6-9. doi: 10.11648/j.ajma.20140202.11

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  • @article{10.11648/j.ajma.20140202.11,
      author = {Mohamed S. El Naschie},
      title = {Deriving E = mc2 /22 of Einstein’s Ordinary Quantum Relativity Energy Density from the Lie Symmetry Group SO (10) of Grand Unification of All Fundamental Forces and Without Quantum Mechanics},
      journal = {American Journal of Mechanics and Applications},
      volume = {2},
      number = {2},
      pages = {6-9},
      doi = {10.11648/j.ajma.20140202.11},
      url = {https://doi.org/10.11648/j.ajma.20140202.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20140202.11},
      abstract = {In the present short letter we aim at deriving the cosmic ordinary effective quantum gravity energy density as well as that of dark energy from the SO (10) Lie symmetry group of grand unification.  Remarkably the derivation makes no use of quantum mechanics and remains largely classical except for nonclassical geometry and topology. Finally our main conclusions and results are reinforced using a nonlocal classical elastic field theory.},
     year = {2014}
    }
    

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    AB  - In the present short letter we aim at deriving the cosmic ordinary effective quantum gravity energy density as well as that of dark energy from the SO (10) Lie symmetry group of grand unification.  Remarkably the derivation makes no use of quantum mechanics and remains largely classical except for nonclassical geometry and topology. Finally our main conclusions and results are reinforced using a nonlocal classical elastic field theory.
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Author Information
  • Dept. of Physics, University of Alexandria, Egypt

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