Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy

M. S. El Naschie

doi:doi:10.11648/j.ijhep.20140101.11

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Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy

M. S. El Naschie

Published in International Journal of High Energy Physics (Volume 1, Issue 1)

Received: 28 January 2014 Published: 20 March 2014

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Abstract

The paper presents a particle physicists’ interpretation of the mathematical abstract concept of a five dimensional empty set as the source of dark energy and dark matter. It turns out that the simplest alternative physical interpretation at least from the view point of the GUT unification of fundamental interaction is the theoretically well established but experimentally never found yet ‘t Hooft-Polyakov magnetic giant monopole with the predicted huge mass of ten to the power of 16 Gev. In fact it will be shown here using exact renormalization equations that running the preceding energy logarithmically leads to a prediction of the ordinary and the total dark energy density of the cosmos in complete agreement with our earlier result E(O) = mc2/22 and E(D) = mc2(21/22) based on the afore mentioned set theoretical concepts as well as with all the relatively recent cosmological measurements. The decisive steps in the present derivation consists of two realizations. First and to our deepest surprise and delight, E =γmc2 = mc2 is actually a unification formula uniting classical, relativistic and quantum mechanics where γ= 1 corresponds to a 100% energy density. Second and also not expectedly, the logarithmic running of ‘t Hooft-Polyakov’s monopole energy leads to a reduction factor γ= 1/λwhere λ=1/2 ln (M(monopole))/(m(electron))=22.18033989, in full agreement with our previous results using entirely different approaches. Finally the results are validated using ‘t Hooft’s dimensional regularization D = 4 ∈ by setting = 2∅^5 where ∅^5 is Hardy’s quantum entanglement and φ=2/ √5+1.

Published in	International Journal of High Energy Physics (Volume 1, Issue 1)
DOI	10.11648/j.ijhep.20140101.11
Page(s)	1-5
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

Dark energy, Grand Unification, Giant ‘T Hooft-Polyakov Monopole, Quantum Relativity Renormalization Equations, Fractal Spacetime, Quantum Field Theory, Super Symmetry, Dark Matter, Planckton, ‘T Hooft Renormalization

References

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APA Style

M. S. El Naschie. (2014). Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy. International Journal of High Energy Physics, 1(1), 1-5. https://doi.org/10.11648/j.ijhep.20140101.11

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ACS Style

M. S. El Naschie. Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy. Int. J. High Energy Phys. 2014, 1(1), 1-5. doi: 10.11648/j.ijhep.20140101.11

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AMA Style

M. S. El Naschie. Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy. Int J High Energy Phys. 2014;1(1):1-5. doi: 10.11648/j.ijhep.20140101.11

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@article{10.11648/j.ijhep.20140101.11,
  author = {M. S. El Naschie},
  title = {Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy},
  journal = {International Journal of High Energy Physics},
  volume = {1},
  number = {1},
  pages = {1-5},
  doi = {10.11648/j.ijhep.20140101.11},
  url = {https://doi.org/10.11648/j.ijhep.20140101.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20140101.11},
  abstract = {The paper presents a particle physicists’ interpretation of the mathematical abstract concept of a five dimensional empty set as the source of dark energy and dark matter. It turns out that the simplest alternative physical interpretation at least from the view point of the GUT unification of fundamental interaction is the theoretically well established but experimentally never found yet ‘t Hooft-Polyakov magnetic giant monopole with the predicted huge mass of ten to the power of 16 Gev. In fact it will be shown here using exact renormalization equations that running the preceding energy logarithmically leads to a prediction of the ordinary and the total dark energy density of the cosmos in complete agreement with our earlier result E(O) = mc2/22 and E(D) = mc2(21/22) based on the afore mentioned set theoretical concepts as well as with all the relatively recent cosmological measurements. The decisive steps in the present derivation consists of two realizations. First and to our deepest surprise and delight, E =γmc2 = mc2 is actually a unification formula uniting classical, relativistic and quantum mechanics where γ= 1 corresponds to a 100% energy density. Second and also not expectedly, the logarithmic running of ‘t Hooft-Polyakov’s monopole energy leads to a reduction factor γ= 1/λwhere λ=1/2 ln (M(monopole))/(m(electron))=22.18033989, in full agreement with our previous results using entirely different approaches. Finally the results are validated using ‘t Hooft’s dimensional regularization D = 4 ∈ by setting   = 2∅^5 where ∅^5 is Hardy’s quantum entanglement and φ=2/ √5+1.},
 year = {2014}
}

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TY  - JOUR
T1  - Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy
AU  - M. S. El Naschie
Y1  - 2014/03/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ijhep.20140101.11
DO  - 10.11648/j.ijhep.20140101.11
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 1
EP  - 5
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20140101.11
AB  - The paper presents a particle physicists’ interpretation of the mathematical abstract concept of a five dimensional empty set as the source of dark energy and dark matter. It turns out that the simplest alternative physical interpretation at least from the view point of the GUT unification of fundamental interaction is the theoretically well established but experimentally never found yet ‘t Hooft-Polyakov magnetic giant monopole with the predicted huge mass of ten to the power of 16 Gev. In fact it will be shown here using exact renormalization equations that running the preceding energy logarithmically leads to a prediction of the ordinary and the total dark energy density of the cosmos in complete agreement with our earlier result E(O) = mc2/22 and E(D) = mc2(21/22) based on the afore mentioned set theoretical concepts as well as with all the relatively recent cosmological measurements. The decisive steps in the present derivation consists of two realizations. First and to our deepest surprise and delight, E =γmc2 = mc2 is actually a unification formula uniting classical, relativistic and quantum mechanics where γ= 1 corresponds to a 100% energy density. Second and also not expectedly, the logarithmic running of ‘t Hooft-Polyakov’s monopole energy leads to a reduction factor γ= 1/λwhere λ=1/2 ln (M(monopole))/(m(electron))=22.18033989, in full agreement with our previous results using entirely different approaches. Finally the results are validated using ‘t Hooft’s dimensional regularization D = 4 ∈ by setting   = 2∅^5 where ∅^5 is Hardy’s quantum entanglement and φ=2/ √5+1.
VL  - 1
IS  - 1
ER  -

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Author Information

M. S. El Naschie

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

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M. S. El Naschie. (2014). Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy. International Journal of High Energy Physics, 1(1), 1-5. https://doi.org/10.11648/j.ijhep.20140101.11

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ACS Style

M. S. El Naschie. Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy. Int. J. High Energy Phys. 2014, 1(1), 1-5. doi: 10.11648/j.ijhep.20140101.11

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AMA Style

M. S. El Naschie. Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy. Int J High Energy Phys. 2014;1(1):1-5. doi: 10.11648/j.ijhep.20140101.11

Copy | Download

@article{10.11648/j.ijhep.20140101.11,
  author = {M. S. El Naschie},
  title = {Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy},
  journal = {International Journal of High Energy Physics},
  volume = {1},
  number = {1},
  pages = {1-5},
  doi = {10.11648/j.ijhep.20140101.11},
  url = {https://doi.org/10.11648/j.ijhep.20140101.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20140101.11},
  abstract = {The paper presents a particle physicists’ interpretation of the mathematical abstract concept of a five dimensional empty set as the source of dark energy and dark matter. It turns out that the simplest alternative physical interpretation at least from the view point of the GUT unification of fundamental interaction is the theoretically well established but experimentally never found yet ‘t Hooft-Polyakov magnetic giant monopole with the predicted huge mass of ten to the power of 16 Gev. In fact it will be shown here using exact renormalization equations that running the preceding energy logarithmically leads to a prediction of the ordinary and the total dark energy density of the cosmos in complete agreement with our earlier result E(O) = mc2/22 and E(D) = mc2(21/22) based on the afore mentioned set theoretical concepts as well as with all the relatively recent cosmological measurements. The decisive steps in the present derivation consists of two realizations. First and to our deepest surprise and delight, E =γmc2 = mc2 is actually a unification formula uniting classical, relativistic and quantum mechanics where γ= 1 corresponds to a 100% energy density. Second and also not expectedly, the logarithmic running of ‘t Hooft-Polyakov’s monopole energy leads to a reduction factor γ= 1/λwhere λ=1/2 ln (M(monopole))/(m(electron))=22.18033989, in full agreement with our previous results using entirely different approaches. Finally the results are validated using ‘t Hooft’s dimensional regularization D = 4 ∈ by setting   = 2∅^5 where ∅^5 is Hardy’s quantum entanglement and φ=2/ √5+1.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Logarithmic Running of ‘t Hooft-Polyakov Monopole to Dark Energy
AU  - M. S. El Naschie
Y1  - 2014/03/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ijhep.20140101.11
DO  - 10.11648/j.ijhep.20140101.11
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 1
EP  - 5
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20140101.11
AB  - The paper presents a particle physicists’ interpretation of the mathematical abstract concept of a five dimensional empty set as the source of dark energy and dark matter. It turns out that the simplest alternative physical interpretation at least from the view point of the GUT unification of fundamental interaction is the theoretically well established but experimentally never found yet ‘t Hooft-Polyakov magnetic giant monopole with the predicted huge mass of ten to the power of 16 Gev. In fact it will be shown here using exact renormalization equations that running the preceding energy logarithmically leads to a prediction of the ordinary and the total dark energy density of the cosmos in complete agreement with our earlier result E(O) = mc2/22 and E(D) = mc2(21/22) based on the afore mentioned set theoretical concepts as well as with all the relatively recent cosmological measurements. The decisive steps in the present derivation consists of two realizations. First and to our deepest surprise and delight, E =γmc2 = mc2 is actually a unification formula uniting classical, relativistic and quantum mechanics where γ= 1 corresponds to a 100% energy density. Second and also not expectedly, the logarithmic running of ‘t Hooft-Polyakov’s monopole energy leads to a reduction factor γ= 1/λwhere λ=1/2 ln (M(monopole))/(m(electron))=22.18033989, in full agreement with our previous results using entirely different approaches. Finally the results are validated using ‘t Hooft’s dimensional regularization D = 4 ∈ by setting   = 2∅^5 where ∅^5 is Hardy’s quantum entanglement and φ=2/ √5+1.
VL  - 1
IS  - 1
ER  -

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