An Approach to Quantum Gravitodynamics and Some Important Results

Bakul Kumar Chakravorti; Md Sakibul Islam; Syed Badiuzzaman Faruque

doi:doi:10.11648/j.wjap.20200504.11

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An Approach to Quantum Gravitodynamics and Some Important Results

Bakul Kumar Chakravorti, Md Sakibul Islam, Syed Badiuzzaman Faruque

Published in World Journal of Applied Physics (Volume 5, Issue 4)

Received: 15 November 2020 Accepted: 1 December 2020 Published: 8 December 2020

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Abstract

We present in this article a new approach to the theory of gravitation. Here, the gravitational field of a gravitating body is assumed to be four fold. The gravitating body of mass M possesses gravitoelectric mass M, gravitomagnetic mass -2M. The test particle possess electric and magnetic masses that are algebraically of the same sign of that of the source body, i.e., m and -2m. Based on the electrostatic force formula, we find four forces acting on the test particle. The sum of these forces gives exactly the Newtonian gravitation force and gravitational potential energy. The classical theory of this approach yields four sets of Maxwellian equations and thus, four spin 1 bosons convey the complete force of gravity. The quantum version of this approach to gravity is illustrated here by presenting the fundamental Feynman diagrams that issue from the new theory. We work out scattering cross-section of interaction of an electron with a fixed gravitating mass partially. Of the four Feynman diagrams, we work out cross-section of scattering for only the simplest diagram. The non-relativistic limit of the cross-section is found and compared with that of electric Rutherford scattering. It is found that the electromagnetic cross-section is 10¹⁷ times larger than the gravitational cross-section for the one process we considered. The work is fundamental and sheds new light onto quantum gravitodynamics.

Published in	World Journal of Applied Physics (Volume 5, Issue 4)
DOI	10.11648/j.wjap.20200504.11
Page(s)	43-48
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), 2020. Published by Science Publishing Group

Keywords

Gravitodynamics, Gravitoelectromagnetigm, Newtonian Gravity, Feynman Diagram, Scattering Cross-section

References

[1]	Rindler. W (2001). Relativity: Special, General and Cosmological. 2^nd edition. Oxford University Press.
[2]	McDonald. K. T. (1997). Am. J. Phys. 65, 7591.
[3]	Mashhoon. B. (2000) Gravitational couplings of intrinsic spin. Class. Quantum Grav. 17 2399. https://doi.org/10.1088/0264-9381/17/12/312.
[4]	Mashhoon. B. (2005). Beyond Gravitomagnetism: critical speed in Gravitational Motion. International Journal of Modern physics D, V. 14, No. 12, pp 2025-2027. https://doi.org/10.1142/S0218271805008121.
[5]	Faruque. S. B. (2018). A new approach to Gravity. arXiv: 1701. 06891v1 [physics.gen-ph].
[6]	Aharonov, Y. Bohm, D. (1959) Phys. Rev. 11, 485. https://doi.org/10.1103/PhysRev.115.485.
[7]	Regge, T. (1957). On the properties of spin 2 particles. Nuovo Cim 5, 325–336 https://doi.org/10.1007/BF02855242.
[8]	Chakravorti, B. K. Islam, M. S. Faruque, S. B. (2020). A New Approach to Gravity Based on Multiple independent Fields. SUST J Sci Tech, Vol 30 (1), 25–31 ISSN 1682-895X.
[9]	Da Costa, B. C. Borges, E. P. (2014). Generalized space and linear momentum operators in quantum mechanics. J. Math. Phys. 55, 062105. https://doi.org/10.1063/1.4884299.
[10]	Griffiths, D. J. (1987). Introduction to Elementary particles. 2^nd edition, ISBN 0-471-60386-4. New York, Wiley, Print.
[11]	Stöltzner, M. (2017). Feynman Diagrams as Models. Math Intelligencer 39, 46–54. https://doi.org/10.1007/s00283-017-9716-z.
[12]	Greiner, W. Reinhardt, J. (2009) Quantum Electrodynamics. 4^th edition, Springer-Verlag Berlin Heidelberg.
[13]	Klinkhamer, F. R. (2011) Newton’s Gravitational Coupling Constant from A Quantum of Area. Modern Physics Letters A. VOL. 26, NO. 17. pp 1301-1308 https://doi.org/10.1142/S0217732311035729.
[14]	Huang, H. Liao, P. Chen, J. Wang, Y. (2014)"Absorption and Scattering Cross Section of Regular Black Holes", Journal of Gravity, vol. 2014, Article ID 231727. https://doi.org/10.1155/2014/231727.
[15]	Bernal1, M A. Camacho, F J. Martinez, R (2013) Dimensional analysis and Rutherford scattering, Eur. J. Phys. 34 L5–L8. DOI: 10.1088/0143-0807/34/1/L5.

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Bakul Kumar Chakravorti, Md Sakibul Islam, Syed Badiuzzaman Faruque. (2020). An Approach to Quantum Gravitodynamics and Some Important Results. World Journal of Applied Physics, 5(4), 43-48. https://doi.org/10.11648/j.wjap.20200504.11

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Bakul Kumar Chakravorti; Md Sakibul Islam; Syed Badiuzzaman Faruque. An Approach to Quantum Gravitodynamics and Some Important Results. World J. Appl. Phys. 2020, 5(4), 43-48. doi: 10.11648/j.wjap.20200504.11

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Bakul Kumar Chakravorti, Md Sakibul Islam, Syed Badiuzzaman Faruque. An Approach to Quantum Gravitodynamics and Some Important Results. World J Appl Phys. 2020;5(4):43-48. doi: 10.11648/j.wjap.20200504.11

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@article{10.11648/j.wjap.20200504.11,
  author = {Bakul Kumar Chakravorti and Md Sakibul Islam and Syed Badiuzzaman Faruque},
  title = {An Approach to Quantum Gravitodynamics and Some Important Results},
  journal = {World Journal of Applied Physics},
  volume = {5},
  number = {4},
  pages = {43-48},
  doi = {10.11648/j.wjap.20200504.11},
  url = {https://doi.org/10.11648/j.wjap.20200504.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20200504.11},
  abstract = {We present in this article a new approach to the theory of gravitation. Here, the gravitational field of a gravitating body is assumed to be four fold. The gravitating body of mass M possesses gravitoelectric mass M, gravitomagnetic mass -2M. The test particle possess electric and magnetic masses that are algebraically of the same sign of that of the source body, i.e., m and -2m. Based on the electrostatic force formula, we find four forces acting on the test particle. The sum of these forces gives exactly the Newtonian gravitation force and gravitational potential energy. The classical theory of this approach yields four sets of Maxwellian equations and thus, four spin 1 bosons convey the complete force of gravity. The quantum version of this approach to gravity is illustrated here by presenting the fundamental Feynman diagrams that issue from the new theory. We work out scattering cross-section of interaction of an electron with a fixed gravitating mass partially. Of the four Feynman diagrams, we work out cross-section of scattering for only the simplest diagram. The non-relativistic limit of the cross-section is found and compared with that of electric Rutherford scattering. It is found that the electromagnetic cross-section is 1017 times larger than the gravitational cross-section for the one process we considered. The work is fundamental and sheds new light onto quantum gravitodynamics.},
 year = {2020}
}

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TY - JOUR
T1 - An Approach to Quantum Gravitodynamics and Some Important Results
AU - Bakul Kumar Chakravorti
AU - Md Sakibul Islam
AU - Syed Badiuzzaman Faruque
Y1 - 2020/12/08
PY - 2020
N1 - https://doi.org/10.11648/j.wjap.20200504.11
DO - 10.11648/j.wjap.20200504.11
T2 - World Journal of Applied Physics
JF - World Journal of Applied Physics
JO - World Journal of Applied Physics
SP - 43
EP - 48
PB - Science Publishing Group
SN - 2637-6008
UR - https://doi.org/10.11648/j.wjap.20200504.11
AB - We present in this article a new approach to the theory of gravitation. Here, the gravitational field of a gravitating body is assumed to be four fold. The gravitating body of mass M possesses gravitoelectric mass M, gravitomagnetic mass -2M. The test particle possess electric and magnetic masses that are algebraically of the same sign of that of the source body, i.e., m and -2m. Based on the electrostatic force formula, we find four forces acting on the test particle. The sum of these forces gives exactly the Newtonian gravitation force and gravitational potential energy. The classical theory of this approach yields four sets of Maxwellian equations and thus, four spin 1 bosons convey the complete force of gravity. The quantum version of this approach to gravity is illustrated here by presenting the fundamental Feynman diagrams that issue from the new theory. We work out scattering cross-section of interaction of an electron with a fixed gravitating mass partially. Of the four Feynman diagrams, we work out cross-section of scattering for only the simplest diagram. The non-relativistic limit of the cross-section is found and compared with that of electric Rutherford scattering. It is found that the electromagnetic cross-section is 1017 times larger than the gravitational cross-section for the one process we considered. The work is fundamental and sheds new light onto quantum gravitodynamics.
VL - 5
IS - 4
ER -

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Author Information

Bakul Kumar Chakravorti

Department of Physics, Shahjalal University of Science and Technology, Sylhet, Bangladesh
Md Sakibul Islam

Department of Physics, Shahjalal University of Science and Technology, Sylhet, Bangladesh
Syed Badiuzzaman Faruque

Department of Physics, Shahjalal University of Science and Technology, Sylhet, Bangladesh

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APA Style

Bakul Kumar Chakravorti, Md Sakibul Islam, Syed Badiuzzaman Faruque. (2020). An Approach to Quantum Gravitodynamics and Some Important Results. World Journal of Applied Physics, 5(4), 43-48. https://doi.org/10.11648/j.wjap.20200504.11

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ACS Style

Bakul Kumar Chakravorti; Md Sakibul Islam; Syed Badiuzzaman Faruque. An Approach to Quantum Gravitodynamics and Some Important Results. World J. Appl. Phys. 2020, 5(4), 43-48. doi: 10.11648/j.wjap.20200504.11

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AMA Style

Bakul Kumar Chakravorti, Md Sakibul Islam, Syed Badiuzzaman Faruque. An Approach to Quantum Gravitodynamics and Some Important Results. World J Appl Phys. 2020;5(4):43-48. doi: 10.11648/j.wjap.20200504.11

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@article{10.11648/j.wjap.20200504.11,
  author = {Bakul Kumar Chakravorti and Md Sakibul Islam and Syed Badiuzzaman Faruque},
  title = {An Approach to Quantum Gravitodynamics and Some Important Results},
  journal = {World Journal of Applied Physics},
  volume = {5},
  number = {4},
  pages = {43-48},
  doi = {10.11648/j.wjap.20200504.11},
  url = {https://doi.org/10.11648/j.wjap.20200504.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20200504.11},
  abstract = {We present in this article a new approach to the theory of gravitation. Here, the gravitational field of a gravitating body is assumed to be four fold. The gravitating body of mass M possesses gravitoelectric mass M, gravitomagnetic mass -2M. The test particle possess electric and magnetic masses that are algebraically of the same sign of that of the source body, i.e., m and -2m. Based on the electrostatic force formula, we find four forces acting on the test particle. The sum of these forces gives exactly the Newtonian gravitation force and gravitational potential energy. The classical theory of this approach yields four sets of Maxwellian equations and thus, four spin 1 bosons convey the complete force of gravity. The quantum version of this approach to gravity is illustrated here by presenting the fundamental Feynman diagrams that issue from the new theory. We work out scattering cross-section of interaction of an electron with a fixed gravitating mass partially. Of the four Feynman diagrams, we work out cross-section of scattering for only the simplest diagram. The non-relativistic limit of the cross-section is found and compared with that of electric Rutherford scattering. It is found that the electromagnetic cross-section is 1017 times larger than the gravitational cross-section for the one process we considered. The work is fundamental and sheds new light onto quantum gravitodynamics.},
 year = {2020}
}

Copy | Download