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Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime

Received: 8 June 2014     Accepted: 28 July 2014     Published: 10 August 2014
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Abstract

We show how Einstein’s four dimensionality of spacetime arises via a Hardy quantum entanglement form of compactification acting on Veneziano bosonic strings space. In turn this quantum entanglement mechanism is directly connected to the transfinite version of Heterotic string’s dimensional hierarchy, i.e. 26, 16, 10, 6, 4 and leads directly to ‘tHooft-Veltman-Wilson fractal spacetime of dimensional renormalization from which the missing 95.5% dark energy density of the cosmos may be accurately determined. Furthermore we predict the existence of a quasi dimensional regularization quasi particle with a topological mass charge equal to twice that of Hardy's entanglement.

Published in American Journal of Astronomy and Astrophysics (Volume 2, Issue 3)
DOI 10.11648/j.ajaa.20140203.12
Page(s) 34-37
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

Quantum Entangled Dimensions, Einstein’s Smooth Space, ‘tHooft’s Fractal Spacetime, Cosmic Expansion, Dark Energy, Feigenbaum Turbulence, New Elementary Particle form Dimensional Regularization, Dimensional Renormalization

References
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  • APA Style

    Mohamed S. El Naschie. (2014). Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime. American Journal of Astronomy and Astrophysics, 2(3), 34-37. https://doi.org/10.11648/j.ajaa.20140203.12

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    ACS Style

    Mohamed S. El Naschie. Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime. Am. J. Astron. Astrophys. 2014, 2(3), 34-37. doi: 10.11648/j.ajaa.20140203.12

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    AMA Style

    Mohamed S. El Naschie. Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime. Am J Astron Astrophys. 2014;2(3):34-37. doi: 10.11648/j.ajaa.20140203.12

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  • @article{10.11648/j.ajaa.20140203.12,
      author = {Mohamed S. El Naschie},
      title = {Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime},
      journal = {American Journal of Astronomy and Astrophysics},
      volume = {2},
      number = {3},
      pages = {34-37},
      doi = {10.11648/j.ajaa.20140203.12},
      url = {https://doi.org/10.11648/j.ajaa.20140203.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20140203.12},
      abstract = {We show how Einstein’s four dimensionality of spacetime arises via a Hardy quantum entanglement form of compactification acting on Veneziano bosonic strings space. In turn this quantum entanglement mechanism is directly connected to the transfinite version of Heterotic string’s dimensional hierarchy, i.e. 26, 16, 10, 6, 4 and leads directly to ‘tHooft-Veltman-Wilson fractal spacetime of dimensional renormalization from which the missing 95.5% dark energy density of the cosmos may be accurately determined. Furthermore we predict the existence of a quasi dimensional regularization quasi particle with a topological mass charge equal to twice that of Hardy's entanglement.},
     year = {2014}
    }
    

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    JF  - American Journal of Astronomy and Astrophysics
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    AB  - We show how Einstein’s four dimensionality of spacetime arises via a Hardy quantum entanglement form of compactification acting on Veneziano bosonic strings space. In turn this quantum entanglement mechanism is directly connected to the transfinite version of Heterotic string’s dimensional hierarchy, i.e. 26, 16, 10, 6, 4 and leads directly to ‘tHooft-Veltman-Wilson fractal spacetime of dimensional renormalization from which the missing 95.5% dark energy density of the cosmos may be accurately determined. Furthermore we predict the existence of a quasi dimensional regularization quasi particle with a topological mass charge equal to twice that of Hardy's entanglement.
    VL  - 2
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Author Information
  • Dept. of Physics, University of Alexandria, Alexandria, Egypt

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