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Hardy’s Entanglement as the Ultimate Explanation for the Observed Cosmic Dark Energy and Accelerated Expansion

Received: 9 June 2014     Accepted: 18 June 2014     Published: 30 June 2014
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Abstract

We reason that Hardy’s probability of quantum entanglement marks the transition from a smooth 4D to a rugged fractal-like K3 Kähler spacetime. The associated eigenvalue constituting the measurable ordinary energy density in this case is given by Einstein’s celebrated formula E = mc2 divided by 22 where m is the mass and c is the speed of light. That way the missing energy is concluded to be a hypothetical so called dark energy amounting to E(D) = E E(O) where E(O) is the earlier mentioned measurable ordinary energy. By looking deeper at the nature of E(O) and E(D) components of E(Einstein) it becomes evident that E(O) is a quasi potential energy of the quantum particle modeled by the zero quantum set while E(D) is a quasi kinetic energy of the propagating quantum wave as modeled by the empty quantum set of our transfinite quantum set theory. A particularly highly interesting new result of the present work is a demonstration of the independence of dark energy density from the number of the spacetime dimensions of the corresponding theory used.

Published in International Journal of High Energy Physics (Volume 1, Issue 2)
DOI 10.11648/j.ijhep.20140102.11
Page(s) 13-17
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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

Accelerated Cosmic Expansion, Dark Energy, Hardy’s Quantum Entanglement, Superstrings, Ricci Dark Energy, Holographic Principle, ‘tHooft-Veltman-Wilson Dimensional Regularization

References
[1] M.S. El Naschie, Cosmic dark energy from ‘t Hooft’s dimensional regularization and Witten’s to-pological quantum field pure gravity. J of Quantum Information Science, 4, 2014, pp. 83-91.
[2] M.S. El Naschie, The meta energy of dark energy. Open Journal of Philosophy. 4, 2014, pp. 157-159.
[3] M.S. El Naschie, Entanglement of E8E8 exceptional Lie symmetry group dark energy, Einstein’s maximal total energy and the Hartle-Hawking no boundary proposal as the explanation for dark energy. World Journal of Condensed Matter Physics, 4, 2014, pp. 74-77.
[4] M.S. El Naschie, Calculating the exact experimental density of the dark energy in the cosmos assuming a fractal speed of light. Int. Journal of Modern Nonlinear Theory & Applica-tion, 3, 2014, pp. 1-5.
[5] M.S. El Naschie, Pinched material Einstein space-time produces accelerated cosmic expansion. Int. Journal of Astronomy and Astrophysics, 4, 2014, pp. 80-90.
[6] L. Marek-Crjac, Ji-Huan He, An invitation to El Naschie’s theory of Cantorian space-time and dark energy. Int. Journal of Astronomy and Astrophysics, 3, 2013, pp. 464-471.
[7] M.S. El Naschie, From Yang-Mills photon in curved spacetime to dark energy density. Journal of Quantum Information Science. 3, 2013, pp. 121-126.
[8] M.A. Helal, L. Marek-Crnjac, Ji-Huan He, The three page guide to the most important results of M.S. El Nashie’s research in E-infinity quantum physics and cosmology. Open Journal of Microphysics, 3, 2013, pp. 141-145.
[9] L. Marek-Crnjac, M.S. El Naschie, Quantum gravity and dark energy using fractal Planck scaling. Journal of Modern Physics, 4, 2013, pp. 31-38.
[10] M.S. El Naschie, Capillary surface energy elucidation of the cosmic dark energy – ordinary energy duality. Open Journal Fluid Dynamics, 4, 2014, 15-17.
[11] M.S. El Naschie, A Rindler-KAM spacetime geometry and scaling the Planck scale solves quantum relativity and explains dark energy. Int. Journal of As-tronomy and Astrophysics, 3, 2013, pp. 483-493.
[12] M.S. El Naschie, The hydrogen atom fractal spectra, the missing dark energy of the cosmos and their Hardy quantum entanglement. Int. Journal of Modern Nonlinear Theory & Application, 2, 2013, pp. 167-169.
[13] M.S. El Na-schie, What is the missing dark energy in a nutshell and the Hawking-Hartle quantum wave. Int. Journal of Astronomy and Astrophysics, 3, 2013, pp. 205-211.
[14] M.S. El Naschie, Nash em-bedding of Witten’s M-theory and the Hawking-Hartle quantum wave of dark energy. Journal of Modern Physics. 4, 2013, pp. 1417-1428.
[15] M.S. El Naschie, Atef Helal, Dark energy ex-plained via the Hawking-Hartle Quantum wave and the topology of cosmic crystallography. Int. Journal of Astronomy and Astrophysics, 3, 2013, pp. 318-343.
[16] M.S. El Naschie, The miss-ing dark energy of the cosmos from light cone topological velocity and scaling of the Planck scale. Open Journal of Microphysics, 3, 2013, pp. 64-70.
[17] L. Marek-Crnjac, M.S. El Naschie, Chaotic fractal tiling for the missing dark energy and Veneziano model. Applied Mathematics, 4, 2013, pp. 22-29.
[18] M.S. El Naschie, Dark energy from Kaluza-Klein spacetime and Noether’s theorem via Lagrangian multiplier method. Journal of Modern Physics, 4, 2013, pp. 757-760.
[19] M.S. El Naschie, Quantum entanglement, Where dark energy and negative gravity plus accelerated expansion of the universe comes from. Journal of Quantum Information Science, 3, 2013, pp. 57-77.
[20] L. Marek-Crnjac, M.S. El Naschie, Ji-Huan He, Chaotic fractals at the relativistic quantum physics and cosmology. Int. Journal of Modern Nonlinear Theory & Applications, 2, 2013, pp. 78-88.
[21] M.S. El Naschie, A fractal sponge space-time proposal to reconcile measurements and theoretical predictions of cosmic dark energy. Int. Journal of Modern Nonlinear Theory & Applications, 2, 2013, pp. 107-121.
[22] M.S. El Naschie, A resolution of cosmic dark energy via a quantum entanglement relativity theory. Journal of Quantum Infor-mation Science, 3, 2013, pp. 23-26.
[23] M.S. El Naschie, Topological-geometrical and physical interpretation of the dark enegy of the cosmos as a ‘halo’ energy of the Schrödinger quantum wave. Journal of Modern Physics, 4, 2013, pp. 591-596.
[24] M. S. El Naschie, A Unified New-tonian-Relativistic Quantum Resolution of the Supposedly Missing Dark Energy of the Cosmos and the Constancy of the Speed of Light. Int. J. of Mod. Nonlinear Theory & Applications, 2(1), 2013, pp. 43-54.
[25] M.S. El Naschie, L. Marek-Crnjac, Deriving the exact percentage of dark energy using a transfinite version of Nottale’s scale relativity. Int. Journal of Modern Nonlinear Theory & Applications, 1, 2012, pp. 118-124.
[26] Ji-Huan He, L. Marek-Crnjac, Mohamed El Naschie’s revision of Albert Einstein’s E = m0c2 , A definite resolution of the mystery of the missing dark energy of the cosmos. Int. Journal of Modern Nonlinear Theory & Applications, 2, 2012, pp. 55-59.
[27] M.S. El Naschie, S. Olsen, Ji-Huan He, S. Nada, L. Marek-Crnjac, A. Helal, On the need for fractal logic in high energy quantum physics. Int. Journal of Modern Nonlinear Theory & Applications, 2, 2012, pp. 84-92.
[28] M. S. El Naschie, The hyperbolic Extension of Sigalot-ti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy. J. of Mod. Phys., Vol. 4, No. 3, 2013, pp. 354-356.
[29] M.S. El Naschie, Quantum en-tanglement as a consequence of a Cantorian micro spacetime geometry. J. of Quantum Info. Sci., Vol. 1, No. 2, 2011. pp. 50-53.
[30] M.S. El Naschie, Einstein’s general relativity and pure grav-ity in a Cosserat and De Sitter-Witten spacetime setting as the explanation of dark energy and cosmic accelerated expansion. Int. Journal of Astronomy and Astrophysics, 4, 2014, pp. 332-339.
[31] M.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. American Journal of Mechanics & Applications, 2(2), 2014, pp. 6-9.
[32] M.S. El Naschie, Cosserat-Cartan modification of Einstein-Riemann relativity and cosmic dark energy density. American Journal of Modern Physics, 3(2), 2014 ,pp. 82-87.
[33] M.S. El Naschie, Rindler space derivation of dark energy. Journal of Modern Physics & Applications, 2014, ID 6.
[34] M.S. El Naschie, Logarithmic running of ‘t Hooft-Polyakov monopole to dark energy. Int. Journal of High Energy Physics, 1(1), 2014, pp. 1-5.
[35] M.S. El Naschie, Experimentally based theoretical arguments that Unruh’s temperature, Hawking’s va-cuum fluctuation and Rindler’s wedge are physically real. American Journal of Modern Physics, 2(6), 2013, pp. 357-361.
[36] M.S. El Naschie, Determining the missing dark energy density of the cosmos from light cone exact relativistic analysis. Journal of Physics, 2(2), 2013, p. 18-23.
[37] L. Marek-Crnjac, Modification of Eistein’s E = mc2 to E = mc2 /22. American Journal of Modern Physics. 2(5), 2013, pp. 255-263.
[38] M.S. El Naschie, L. Marek-Crnjac et al, Com-puting the missing dark energy of a clopen universe which is its own multiverse in addition to being both flat and curved. Fractal Spacetime and Noncommutative Geometry in Quantum & High Enegy Physics, 3(1), 2013, pp. 3-10.
[39] E.J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy. arXiv, hep-th/0603057V3 16 Jun 2006.
[40] R. Penrose, The Road to Reality. Jonathan Cape , London, 2004.
[41] Y. Baryshev and P. Teerikorpi, Discovery of Cosmic Fractals. World Scientific, Singapore, 2002.
[42] L. Nottale, Scale Relativity. Imperial College Press, London, 2011.
[43] L. Amendola and S. Tsujikawa, Dark Energy, Theory and Observation. Cambridge University Press, Cambridge, 2010.
[44] J. Mageuijo and L. Smolin, Lorentz inva-riance with an invariant energy scale. arXiv hep-th/0112090V2 18 December 2001.
[45] C. Rovelli, Quantum Gravity. Cambridge University Press, Cambridge, 2004.
[46] L. Hardy, Non-locality of two particles without inequalities for almost all entangled states. Physics Rev. Lett., 71(11), 1993, pp. 1665-1668.
[47] D. Mermin, Quantum mysteries refined. American Journal of Physics, 62(10), 1994, pp. 880-887.
[48] G. Ord, M.S. El Naschie and Ji-Huan He (Editors), Fractal spacetime and noncommutative geometry in high energy physics. 2(1), 2012, pp. 1-79. Asian Academic Publishing Ltd., Hong Kong, China.
[49] L. Sigalotti, A. Meijas, The golden mean in special relativity. Chaos, Solitons & Fractals, 30, 2006, pp. 521-524.
[50] W. Rindler, Relativity. Oxford University Press, Oxford, 2011.
[51] A. Connes, Noncommutative Geometry. Academic Press, San Diego, USA, 1994.
[52] M.S. El Naschie, “A review of E-infinity theory and the mass spectrum of high energy particle physics.” Chaos, Solitons & Fractals,19(1), 2004, pp. 209-236.
[53] M.S. El Naschie, On the uncertainty of Cantorian geometry and the two-slit ex-periment. Chaos, Solitons & Fractals, 9(3), 1998, pp. 517-529.
[54] M.S. El Naschie, Elementa-ry prerequisites for E-infinity (Recommended background readings in nonlinear dynamics, geo-metry and topology). Chaos, Solitons & Fractals, 30, No. 3, 2006, pp. 579-605.
[55] M.S. El Naschie, The concepts of E-infinity, An elementary introduction to the Cantorian-fractal theory of quantum physics. Chaos, Solitons & Fractals, 22(2), 2004, pp. 495-511.
[56] M.S. El Naschie, On the unification of Heterotic strings, M theory and E-infinity theory. Chaos, Solitons & Fractals, 11(14), 2000, pp. 2397-2408.
[57] M.S. El Naschie, On a class of general theories for high energy particle physics. Chaos, Solitons & Fractals, 14(4), 2002, pp. 649-668.
[58] M.S. El Na-schie, Superstrings, knots and noncommutative geometry in E-infinity space. Int. Journal of Theoretical Physics, 37(12), 1998, pp. 2935-2951.
[59] H. Aref, Chaos Applied to Fluid Mixing. Pergamon Press. 1995.
[60] M.S. El Naschie, A guide to the mathematics of E-infinity Canto-rian spacetime theory. Chaos, Solitons & Fractals, 25(5), 2005, pp. 955-964.
[61] M.S. El Na-schie, Quantum mechanics and the possibility of a Cantorian spacetime. Chaos, Solitons & Frac-tals, 1(5), 1991, pp. 485-487.
[62] M.S. El Naschie, Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics. Chaos, Solitons & Fractals, 27(2), 2006, pp. 297-330.
[63] M.S. El Naschie, Quantum gravity, Clifford algebras, fuzzy set theory and the fundamental constants of nature. Chaos, Solitons & Fractals, 20(3), 2004, pp. 437-450.
[64] M.S. El Naschie, On the unification of the fundamental forces and complex time in the E-infinity space. Chaos, Solitons & Fractals, 11(7), 2000, pp. 1149-1162.
[65] M.S. El Naschie, Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics. Chaos, Solitons & Fractals, 13(9), 2002, pp. 1935-1945.
[66] M.S. El Naschie, The theory of Cantorian spacetime and high energy particle physics (An informal review). Chaos, Solitons & Fractals, 41(5), 2009, pp. 2635-2646.
[67] M.S. El Naschie, Time symmetry breaking, duality and Cantorian spacetime. Chaos, Solitons & Fractals, 7(4), 1996, pp. 499-518.
[68] M.S. El Na-schie, From experimental quantum optics 25(5), 2005, pp. 969-977.
[69] M.S. El Naschie, Quantum gravity from descriptive set theory. Chaos, Solitons & Fractals, 19(5), 2004, pp. 1339-1344.
[70] M.S. El Naschie, Is quantum space a random Cantor set with a golden mean dimension at the core? Chaos, Solitons & Fractals, 4(2), 1994, pp. 177-179.
[71] M.S. El Na-schie, Topics in the mathematical physics of E-infinity theory. Chaos, Solitons & Fractals, 30(3), 2006, pp. 656-663.
[72] Mae-Wan Ho, The Story of Phi, Part 1. Science of the Organism. Insti-tute of Science in Society, 03.03.2014. www.i-sis.org.uk.
[73] Mae-Wan Ho, Watching the Daises Grow, The Story of Phi, Part 2. Science of the Organism. Institute of Science in Society, 10.03.2014. www.i-sis.org.uk.
[74] Mae-Wan Ho, Golden Music of The Brain, The Story of Phi, Part 3. Science of the Organism. Institute of Science in Society, 17.03.2014. www.i-sis.org.uk.
[75] Mae-Wan Ho, Golden Cycles and Organic Spacetime. The Story of Phi, Part 4. Science of the Organism. Institute of Science in Society, 24.03.2014. www.i-sis.org.uk.
[76] Mae-Wan Ho, Golden Geometry of E-infinity Fractal Spacetime. The Story of Phi, Part 5. Science of the Organism. Institute of Science in Society, 31.03.2014. www.i-sis.org.uk.
[77] Mae-Wan Ho, E-infinity Spacetime, Quantum Paradoxes and Quantum Gravity. The Story of Phi, Part 6. Science of the Organism. Institute of Science in Society, 07.04.2014. www.i-sis.org.uk.
Cite This Article
  • APA Style

    Mohamed S. El Naschie. (2014). Hardy’s Entanglement as the Ultimate Explanation for the Observed Cosmic Dark Energy and Accelerated Expansion. International Journal of High Energy Physics, 1(2), 13-17. https://doi.org/10.11648/j.ijhep.20140102.11

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    ACS Style

    Mohamed S. El Naschie. Hardy’s Entanglement as the Ultimate Explanation for the Observed Cosmic Dark Energy and Accelerated Expansion. Int. J. High Energy Phys. 2014, 1(2), 13-17. doi: 10.11648/j.ijhep.20140102.11

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    AMA Style

    Mohamed S. El Naschie. Hardy’s Entanglement as the Ultimate Explanation for the Observed Cosmic Dark Energy and Accelerated Expansion. Int J High Energy Phys. 2014;1(2):13-17. doi: 10.11648/j.ijhep.20140102.11

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  • @article{10.11648/j.ijhep.20140102.11,
      author = {Mohamed S. El Naschie},
      title = {Hardy’s Entanglement as the Ultimate Explanation for the Observed Cosmic Dark Energy and Accelerated Expansion},
      journal = {International Journal of High Energy Physics},
      volume = {1},
      number = {2},
      pages = {13-17},
      doi = {10.11648/j.ijhep.20140102.11},
      url = {https://doi.org/10.11648/j.ijhep.20140102.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20140102.11},
      abstract = {We reason that Hardy’s probability of quantum entanglement marks the transition from a smooth 4D to a rugged fractal-like K3 Kähler spacetime. The associated eigenvalue constituting the measurable ordinary energy density in this case is given by Einstein’s celebrated formula E = mc2 divided by 22 where m is the mass and c is the speed of light. That way the missing energy is concluded to be a hypothetical so called dark energy amounting to E(D) = E   E(O) where E(O) is the earlier mentioned measurable ordinary energy. By looking deeper at the nature of E(O) and E(D) components of E(Einstein) it becomes evident that E(O) is a quasi potential energy of the quantum particle modeled by the zero quantum set while E(D) is a quasi kinetic energy of the propagating quantum wave as modeled by the empty quantum set of our transfinite quantum set theory. A particularly highly interesting new result of the present work is a demonstration of the independence of dark energy density from the number of the spacetime dimensions of the corresponding theory used.},
     year = {2014}
    }
    

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    T1  - Hardy’s Entanglement as the Ultimate Explanation for the Observed Cosmic Dark Energy and Accelerated Expansion
    AU  - Mohamed S. El Naschie
    Y1  - 2014/06/30
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    N1  - https://doi.org/10.11648/j.ijhep.20140102.11
    DO  - 10.11648/j.ijhep.20140102.11
    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
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    EP  - 17
    PB  - Science Publishing Group
    SN  - 2376-7448
    UR  - https://doi.org/10.11648/j.ijhep.20140102.11
    AB  - We reason that Hardy’s probability of quantum entanglement marks the transition from a smooth 4D to a rugged fractal-like K3 Kähler spacetime. The associated eigenvalue constituting the measurable ordinary energy density in this case is given by Einstein’s celebrated formula E = mc2 divided by 22 where m is the mass and c is the speed of light. That way the missing energy is concluded to be a hypothetical so called dark energy amounting to E(D) = E   E(O) where E(O) is the earlier mentioned measurable ordinary energy. By looking deeper at the nature of E(O) and E(D) components of E(Einstein) it becomes evident that E(O) is a quasi potential energy of the quantum particle modeled by the zero quantum set while E(D) is a quasi kinetic energy of the propagating quantum wave as modeled by the empty quantum set of our transfinite quantum set theory. A particularly highly interesting new result of the present work is a demonstration of the independence of dark energy density from the number of the spacetime dimensions of the corresponding theory used.
    VL  - 1
    IS  - 2
    ER  - 

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Author Information
  • Dept. of Physics, University of Alexandria, Alexandria, Egypt

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