Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density

Mohamed S. El Naschie

doi:doi:10.11648/j.ajmp.20140302.17

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Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density

Mohamed S. El Naschie

Published in American Journal of Modern Physics (Volume 3, Issue 2)

Received: 7 March 2014 Accepted: 8 April 2014 Published: 10 April 2014

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Abstract

Based on pioneering works by Sciama and Kibble to extend Einstein-Cartan theory of gravity we give a new derivation for the cosmic energy density. It is argued that the ‘t Hooft-Veltman and Wilson method of renormalization implies the relativity of fractal spacetime at the quantum scale and a dark energy density of E(D) = 95.5 percent. It is further revealed that similar conclusions could be made using A.C. Eringen’s nonlocal elasticity. Finally the wider philosophical implication of the theory is discussed.

Published in	American Journal of Modern Physics (Volume 3, Issue 2)
DOI	10.11648/j.ajmp.20140302.17
Page(s)	82-87
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

Kibble Gravity, ‘t Hooft Fractal Spacetime, Dimensional Regularization, Wilson Renormalization, Cosmic Dark Energy, Sciama-Kibble gravity, Cantorian Spacetime, nonlocal elasticity, Cantorian philosophy of science

References

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Mohamed S. El Naschie. (2014). Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density. American Journal of Modern Physics, 3(2), 82-87. https://doi.org/10.11648/j.ajmp.20140302.17

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ACS Style

Mohamed S. El Naschie. Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density. Am. J. Mod. Phys. 2014, 3(2), 82-87. doi: 10.11648/j.ajmp.20140302.17

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AMA Style

Mohamed S. El Naschie. Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density. Am J Mod Phys. 2014;3(2):82-87. doi: 10.11648/j.ajmp.20140302.17

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@article{10.11648/j.ajmp.20140302.17,
  author = {Mohamed S. El Naschie},
  title = {Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {2},
  pages = {82-87},
  doi = {10.11648/j.ajmp.20140302.17},
  url = {https://doi.org/10.11648/j.ajmp.20140302.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140302.17},
  abstract = {Based on pioneering works by Sciama and Kibble to extend Einstein-Cartan theory of gravity we give a new derivation for the cosmic energy density.  It is argued that the ‘t Hooft-Veltman and Wilson method of renormalization implies the relativity of fractal spacetime at the quantum scale and a dark energy density of E(D) = 95.5 percent. It is further revealed that similar conclusions could be made using A.C. Eringen’s nonlocal elasticity.  Finally the wider philosophical implication of the theory is discussed.},
 year = {2014}
}

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TY  - JOUR
T1  - Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density
AU  - Mohamed S. El Naschie
Y1  - 2014/04/10
PY  - 2014
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T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 82
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PB  - Science Publishing Group
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AB  - Based on pioneering works by Sciama and Kibble to extend Einstein-Cartan theory of gravity we give a new derivation for the cosmic energy density.  It is argued that the ‘t Hooft-Veltman and Wilson method of renormalization implies the relativity of fractal spacetime at the quantum scale and a dark energy density of E(D) = 95.5 percent. It is further revealed that similar conclusions could be made using A.C. Eringen’s nonlocal elasticity.  Finally the wider philosophical implication of the theory is discussed.
VL  - 3
IS  - 2
ER  -

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Author Information

Mohamed S. El Naschie

Dept. of Physics, Faculty of Science, University of Alexandria, Alexandria, Egypt

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Mohamed S. El Naschie. (2014). Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density. American Journal of Modern Physics, 3(2), 82-87. https://doi.org/10.11648/j.ajmp.20140302.17

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ACS Style

Mohamed S. El Naschie. Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density. Am. J. Mod. Phys. 2014, 3(2), 82-87. doi: 10.11648/j.ajmp.20140302.17

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AMA Style

Mohamed S. El Naschie. Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density. Am J Mod Phys. 2014;3(2):82-87. doi: 10.11648/j.ajmp.20140302.17

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@article{10.11648/j.ajmp.20140302.17,
  author = {Mohamed S. El Naschie},
  title = {Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {2},
  pages = {82-87},
  doi = {10.11648/j.ajmp.20140302.17},
  url = {https://doi.org/10.11648/j.ajmp.20140302.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140302.17},
  abstract = {Based on pioneering works by Sciama and Kibble to extend Einstein-Cartan theory of gravity we give a new derivation for the cosmic energy density.  It is argued that the ‘t Hooft-Veltman and Wilson method of renormalization implies the relativity of fractal spacetime at the quantum scale and a dark energy density of E(D) = 95.5 percent. It is further revealed that similar conclusions could be made using A.C. Eringen’s nonlocal elasticity.  Finally the wider philosophical implication of the theory is discussed.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Cosserat-Cartan Modification of Einstein-Riemann Relativity and Cosmic Dark Energy Density
AU  - Mohamed S. El Naschie
Y1  - 2014/04/10
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140302.17
DO  - 10.11648/j.ajmp.20140302.17
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 82
EP  - 87
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140302.17
AB  - Based on pioneering works by Sciama and Kibble to extend Einstein-Cartan theory of gravity we give a new derivation for the cosmic energy density.  It is argued that the ‘t Hooft-Veltman and Wilson method of renormalization implies the relativity of fractal spacetime at the quantum scale and a dark energy density of E(D) = 95.5 percent. It is further revealed that similar conclusions could be made using A.C. Eringen’s nonlocal elasticity.  Finally the wider philosophical implication of the theory is discussed.
VL  - 3
IS  - 2
ER  -

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