We have studied the gravitation in the context of the noncommutative manifold M_{4}×Z_{2} where Z_{2} 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 whereZ_{2} 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 |
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Field Theory, Einstein Gravity, Four Dimensional Manifold, Gauge Symmetries
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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
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
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
@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} }
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 -