Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity

Subhamoy Singha Roy

doi:doi:10.11648/j.ijamtp.20210704.11

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Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity

Subhamoy Singha Roy

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 7, Issue 4)

Received: 13 August 2021 Accepted: 27 August 2021 Published: 5 October 2021

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Abstract

We have studied the gravitation in the context of the noncommutative manifold M₄×Z₂ where Z₂ is not the two point space but corresponds to a direction-vector attached to a space-time point. A local field theory, noncommutative Yang - Mills fields is limited to obtain the return thatsuch a symmetry group differences are. Noncommutative gauge symmetry of space - time and theinternal symmetry of the mixer is a very natural and clear perception that the gravitational forcegauge a characteristic feature of the theory. The gauge fields of the dimensionally reduced noncommutativeYang-Mills theory map onto a Weitzenbӧck spacetime and a teleparallel theory of gravity arisesas the zero curvature reduction of a Poincare gauge theory which induces an Einstein-Cartanspace-time characterized by connections with both nonvanishing torsion and curvature. This analysissuggests that noncommutative Yang-Mills theory naturally induces gravitation through a torsioned space-time. Thus as in the case of a noncommutative manifold whereZ₂ is a two-point space there appears to be aconnection between gravity and electroweak theory in this formalism this is achieved through therealization of chiral anomaly and torsion. It is noted to be that that Weitzenbӧck geometry thatEinstein's General Relativity with the teleparallel gravity equivalent, provoked by her some notablefeatures are. This show has been that the geometry torsioned space-time at which the the chiralanomaly inconsistencies in the torch made is. This show is that it naturally Weitzenbӧck geometryof the moves that the gravity of a teleparallel formula birth towards.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 7, Issue 4)
DOI	10.11648/j.ijamtp.20210704.11
Page(s)	88-93
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), 2024. Published by Science Publishing Group

Keywords

Field Theory, Einstein Gravity, Four Dimensional Manifold, Gauge Symmetries

References

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Subhamoy Singha Roy. (2021). Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity. International Journal of Applied Mathematics and Theoretical Physics, 7(4), 88-93. https://doi.org/10.11648/j.ijamtp.20210704.11

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Subhamoy Singha Roy. Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity. Int. J. Appl. Math. Theor. Phys. 2021, 7(4), 88-93. doi: 10.11648/j.ijamtp.20210704.11

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AMA Style

Subhamoy Singha Roy. Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity. Int J Appl Math Theor Phys. 2021;7(4):88-93. doi: 10.11648/j.ijamtp.20210704.11

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@article{10.11648/j.ijamtp.20210704.11,
  author = {Subhamoy Singha Roy},
  title = {Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {7},
  number = {4},
  pages = {88-93},
  doi = {10.11648/j.ijamtp.20210704.11},
  url = {https://doi.org/10.11648/j.ijamtp.20210704.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20210704.11},
  abstract = {We have studied the gravitation in the context of the noncommutative manifold M4×Z2 where Z2 is not the two point space but corresponds to a direction-vector attached to a space-time point. A local field theory, noncommutative Yang - Mills fields is limited to obtain the return thatsuch a symmetry group differences are. Noncommutative gauge symmetry of space - time and theinternal symmetry of the mixer is a very natural and clear perception that the gravitational forcegauge a characteristic feature of the theory. The gauge fields of the dimensionally reduced noncommutativeYang-Mills theory map onto a Weitzenbӧck spacetime and a teleparallel theory of gravity arisesas the zero curvature reduction of a Poincare gauge theory which induces an Einstein-Cartanspace-time characterized by connections with both nonvanishing torsion and curvature. This analysissuggests that noncommutative Yang-Mills theory naturally induces gravitation through a torsioned space-time. Thus as in the case of a noncommutative manifold whereZ2 is a two-point space there appears to be aconnection between gravity and electroweak theory in this formalism this is achieved through therealization of chiral anomaly and torsion. It is noted to be that that Weitzenbӧck geometry thatEinstein's General Relativity with the teleparallel gravity equivalent, provoked by her some notablefeatures are. This show has been that the geometry torsioned space-time at which the the chiralanomaly inconsistencies in the torch made is. This show is that it naturally Weitzenbӧck geometryof the moves that the gravity of a teleparallel formula birth towards.},
 year = {2021}
}

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TY  - JOUR
T1  - Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity
AU  - Subhamoy Singha Roy
Y1  - 2021/10/05
PY  - 2021
N1  - https://doi.org/10.11648/j.ijamtp.20210704.11
DO  - 10.11648/j.ijamtp.20210704.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 88
EP  - 93
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20210704.11
AB  - We have studied the gravitation in the context of the noncommutative manifold M4×Z2 where Z2 is not the two point space but corresponds to a direction-vector attached to a space-time point. A local field theory, noncommutative Yang - Mills fields is limited to obtain the return thatsuch a symmetry group differences are. Noncommutative gauge symmetry of space - time and theinternal symmetry of the mixer is a very natural and clear perception that the gravitational forcegauge a characteristic feature of the theory. The gauge fields of the dimensionally reduced noncommutativeYang-Mills theory map onto a Weitzenbӧck spacetime and a teleparallel theory of gravity arisesas the zero curvature reduction of a Poincare gauge theory which induces an Einstein-Cartanspace-time characterized by connections with both nonvanishing torsion and curvature. This analysissuggests that noncommutative Yang-Mills theory naturally induces gravitation through a torsioned space-time. Thus as in the case of a noncommutative manifold whereZ2 is a two-point space there appears to be aconnection between gravity and electroweak theory in this formalism this is achieved through therealization of chiral anomaly and torsion. It is noted to be that that Weitzenbӧck geometry thatEinstein's General Relativity with the teleparallel gravity equivalent, provoked by her some notablefeatures are. This show has been that the geometry torsioned space-time at which the the chiralanomaly inconsistencies in the torch made is. This show is that it naturally Weitzenbӧck geometryof the moves that the gravity of a teleparallel formula birth towards.
VL  - 7
IS  - 4
ER  -

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Author Information

Subhamoy Singha Roy

Department of Physics, JIS College of Engineering, Kalyani, Nadia, India

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APA Style

Subhamoy Singha Roy. (2021). Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity. International Journal of Applied Mathematics and Theoretical Physics, 7(4), 88-93. https://doi.org/10.11648/j.ijamtp.20210704.11

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ACS Style

Subhamoy Singha Roy. Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity. Int. J. Appl. Math. Theor. Phys. 2021, 7(4), 88-93. doi: 10.11648/j.ijamtp.20210704.11

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AMA Style

Subhamoy Singha Roy. Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity. Int J Appl Math Theor Phys. 2021;7(4):88-93. doi: 10.11648/j.ijamtp.20210704.11

Copy | Download

@article{10.11648/j.ijamtp.20210704.11,
  author = {Subhamoy Singha Roy},
  title = {Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {7},
  number = {4},
  pages = {88-93},
  doi = {10.11648/j.ijamtp.20210704.11},
  url = {https://doi.org/10.11648/j.ijamtp.20210704.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20210704.11},
  abstract = {We have studied the gravitation in the context of the noncommutative manifold M4×Z2 where Z2 is not the two point space but corresponds to a direction-vector attached to a space-time point. A local field theory, noncommutative Yang - Mills fields is limited to obtain the return thatsuch a symmetry group differences are. Noncommutative gauge symmetry of space - time and theinternal symmetry of the mixer is a very natural and clear perception that the gravitational forcegauge a characteristic feature of the theory. The gauge fields of the dimensionally reduced noncommutativeYang-Mills theory map onto a Weitzenbӧck spacetime and a teleparallel theory of gravity arisesas the zero curvature reduction of a Poincare gauge theory which induces an Einstein-Cartanspace-time characterized by connections with both nonvanishing torsion and curvature. This analysissuggests that noncommutative Yang-Mills theory naturally induces gravitation through a torsioned space-time. Thus as in the case of a noncommutative manifold whereZ2 is a two-point space there appears to be aconnection between gravity and electroweak theory in this formalism this is achieved through therealization of chiral anomaly and torsion. It is noted to be that that Weitzenbӧck geometry thatEinstein's General Relativity with the teleparallel gravity equivalent, provoked by her some notablefeatures are. This show has been that the geometry torsioned space-time at which the the chiralanomaly inconsistencies in the torch made is. This show is that it naturally Weitzenbӧck geometryof the moves that the gravity of a teleparallel formula birth towards.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Topological Methods in Geometric Foundations of Teleparallel Fused Quantum Gravity
AU  - Subhamoy Singha Roy
Y1  - 2021/10/05
PY  - 2021
N1  - https://doi.org/10.11648/j.ijamtp.20210704.11
DO  - 10.11648/j.ijamtp.20210704.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 88
EP  - 93
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20210704.11
AB  - We have studied the gravitation in the context of the noncommutative manifold M4×Z2 where Z2 is not the two point space but corresponds to a direction-vector attached to a space-time point. A local field theory, noncommutative Yang - Mills fields is limited to obtain the return thatsuch a symmetry group differences are. Noncommutative gauge symmetry of space - time and theinternal symmetry of the mixer is a very natural and clear perception that the gravitational forcegauge a characteristic feature of the theory. The gauge fields of the dimensionally reduced noncommutativeYang-Mills theory map onto a Weitzenbӧck spacetime and a teleparallel theory of gravity arisesas the zero curvature reduction of a Poincare gauge theory which induces an Einstein-Cartanspace-time characterized by connections with both nonvanishing torsion and curvature. This analysissuggests that noncommutative Yang-Mills theory naturally induces gravitation through a torsioned space-time. Thus as in the case of a noncommutative manifold whereZ2 is a two-point space there appears to be aconnection between gravity and electroweak theory in this formalism this is achieved through therealization of chiral anomaly and torsion. It is noted to be that that Weitzenbӧck geometry thatEinstein's General Relativity with the teleparallel gravity equivalent, provoked by her some notablefeatures are. This show has been that the geometry torsioned space-time at which the the chiralanomaly inconsistencies in the torch made is. This show is that it naturally Weitzenbӧck geometryof the moves that the gravity of a teleparallel formula birth towards.
VL  - 7
IS  - 4
ER  -

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