Ricci Flows and Topology Change in Quantum Gravity

Vladimir Dzhunushaliev

doi:doi:10.11648/j.ajmp.20130203.16

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Ricci Flows and Topology Change in Quantum Gravity

Vladimir Dzhunushaliev

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

Received: 10 February 2013 Published: 2 May 2013

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Abstract

The topology change in quantum gravity is modeled by a Ricci flow. In this approach we consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter is a microscopical statistical state. The probability of every microscopical state is determined by this parameter. The Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated numerically.

Published in	American Journal of Modern Physics (Volume 2, Issue 3)
DOI	10.11648/j.ajmp.20130203.16
Page(s)	132-137
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), 2013. Published by Science Publishing Group

Keywords

Ricci Flow, Topology Change, Statistical System, Wormhole

References

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[6]	R.D. Sorkin and S. Surya, Int. J. Mod. Phys. A 13, 3749-3790 (1998).
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[10]	Morris W. Hirsch, ''Differential topology``, (Springer-Verlag, New-York-Heidelberg-Berlin, 1976).
[11]	V. Dzhunushaliev, Int. J. Geom. Meth. Mod. Phys., 6, 1033-1046 (2009); arXiv:0809.0957 [gr-qc].
[12]	P. Topping, Lectures on the Ricci Flow, London Mathe-matical Society Lecture Notes Series 325, Cambridge University Press (2006).
[13]	V. Dzhunushaliev and V. Folomeev, `Creation/annihilation of wormholes supported by the Sine-Gordon phantom (ghost) field,'' arXiv:0909.2739 [gr-qc].

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Vladimir Dzhunushaliev. (2013). Ricci Flows and Topology Change in Quantum Gravity. American Journal of Modern Physics, 2(3), 132-137. https://doi.org/10.11648/j.ajmp.20130203.16

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Vladimir Dzhunushaliev. Ricci Flows and Topology Change in Quantum Gravity. Am. J. Mod. Phys. 2013, 2(3), 132-137. doi: 10.11648/j.ajmp.20130203.16

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AMA Style

Vladimir Dzhunushaliev. Ricci Flows and Topology Change in Quantum Gravity. Am J Mod Phys. 2013;2(3):132-137. doi: 10.11648/j.ajmp.20130203.16

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@article{10.11648/j.ajmp.20130203.16,
  author = {Vladimir Dzhunushaliev},
  title = {Ricci Flows and Topology Change in Quantum Gravity},
  journal = {American Journal of Modern Physics},
  volume = {2},
  number = {3},
  pages = {132-137},
  doi = {10.11648/j.ajmp.20130203.16},
  url = {https://doi.org/10.11648/j.ajmp.20130203.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20130203.16},
  abstract = {The topology change in quantum gravity is modeled by a Ricci flow. In this approach we consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter   is a microscopical statistical state. The probability of every microscopical state is determined by this parameter. The Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated numerically.},
 year = {2013}
}

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TY  - JOUR
T1  - Ricci Flows and Topology Change in Quantum Gravity
AU  - Vladimir Dzhunushaliev
Y1  - 2013/05/02
PY  - 2013
N1  - https://doi.org/10.11648/j.ajmp.20130203.16
DO  - 10.11648/j.ajmp.20130203.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 132
EP  - 137
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20130203.16
AB  - The topology change in quantum gravity is modeled by a Ricci flow. In this approach we consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter   is a microscopical statistical state. The probability of every microscopical state is determined by this parameter. The Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated numerically.
VL  - 2
IS  - 3
ER  -

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Author Information

Vladimir Dzhunushaliev

Dept. Theor. and Nucl. Phys., Kazakh National University, Almaty, 010008, Kazakhstan

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APA Style

Vladimir Dzhunushaliev. (2013). Ricci Flows and Topology Change in Quantum Gravity. American Journal of Modern Physics, 2(3), 132-137. https://doi.org/10.11648/j.ajmp.20130203.16

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ACS Style

Vladimir Dzhunushaliev. Ricci Flows and Topology Change in Quantum Gravity. Am. J. Mod. Phys. 2013, 2(3), 132-137. doi: 10.11648/j.ajmp.20130203.16

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AMA Style

Vladimir Dzhunushaliev. Ricci Flows and Topology Change in Quantum Gravity. Am J Mod Phys. 2013;2(3):132-137. doi: 10.11648/j.ajmp.20130203.16

Copy | Download

@article{10.11648/j.ajmp.20130203.16,
  author = {Vladimir Dzhunushaliev},
  title = {Ricci Flows and Topology Change in Quantum Gravity},
  journal = {American Journal of Modern Physics},
  volume = {2},
  number = {3},
  pages = {132-137},
  doi = {10.11648/j.ajmp.20130203.16},
  url = {https://doi.org/10.11648/j.ajmp.20130203.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20130203.16},
  abstract = {The topology change in quantum gravity is modeled by a Ricci flow. In this approach we consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter   is a microscopical statistical state. The probability of every microscopical state is determined by this parameter. The Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated numerically.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - Ricci Flows and Topology Change in Quantum Gravity
AU  - Vladimir Dzhunushaliev
Y1  - 2013/05/02
PY  - 2013
N1  - https://doi.org/10.11648/j.ajmp.20130203.16
DO  - 10.11648/j.ajmp.20130203.16
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 132
EP  - 137
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20130203.16
AB  - The topology change in quantum gravity is modeled by a Ricci flow. In this approach we consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter   is a microscopical statistical state. The probability of every microscopical state is determined by this parameter. The Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated numerically.
VL  - 2
IS  - 3
ER  -

Copy | Download