American Journal of Modern Physics

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The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field

Received: 10 June 2014    Accepted: 20 June 2014    Published: 30 June 2014
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Abstract

As a result of integration of the equations of motion with regard to the pressure field and acceleration field the system’s integral energy-momentum 4-vector is found. It is shown that this vector in the covariant theory of gravitation must be equal to zero. This allows us to explain the 4/3 problem and the problem of neutrino energy in an ideal spherical supernova collapse. At the same time, in order to describe the system’s state, instead of the integral 4-vector we must use the four-momentum, which is derived from the Lagrangian. The described approach differs substantially from the results of the general theory of relativity, in which the integral 4-vector serves as the system’s four-momentum, and the stress-energy tensor of the gravitational field is replaced by the corresponding pseudotensor.

DOI 10.11648/j.ajmp.20140304.12
Published in American Journal of Modern Physics (Volume 3, Issue 4, July 2014)
Page(s) 152-167
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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

Four-Momentum, Four-Vector of Hamiltonian, 4/3 Problem, Acceleration Field, Pressure Field, Covariant Theory of Gravitation

References
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[5] Becker R Theorie der Elektrizität Bd. II Elektronentheorie (Berlin: B.G. Teubner, 1933) [Беккер. Р. Теория электричества, Т-II, Электронная теория, Л.-М. Гостехиздат, 1941 г. ]
[6] Морозов В. Б. К вопросу об электромагнитном импульсе заряженных тел. УФН, 181 389–392 (2011).
[7] Rohrlich, F. 1997 The dynamics of a charged sphere and the electron. Am. J. Phys. 65. 1051-1056.
[8] Fedosin S.G. Mass, Momentum and Energy of Gravitational Field. Journal of Vectorial Relativity, Vol. 3, No. 3, 2008, P. 30–35.
[9] 5. Fedosin S.G. 4/3 Problem for the Gravitational Field. Advances in Physics Theories and Applications, 2013, Vol. 23, P. 19 – 25.
[10] Fedosin S.G. Energy, Momentum, Mass and Velocity of a Moving Body in the Light of Gravitomagnetic Theory. Accepted by Canadian Journal of Physics.
[11] Fedosin S.G. About the cosmological constant, acceleration field, pressure field and energy. vixra.org, 5 Mar 2014.
[12] L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Vol. 2, 4th ed. Butterworth-Heinemann, 1975).
[13] V. A. Fock, The Theory of Space, Time and Gravitation (Pergamon Press, London, 1959).
[14] Fedosin S.G. Fizika i filosofiia podobiia ot preonov do metagalaktik, Perm, pages 544, 1999. ISBN 5-8131-0012-1.
[15] Fedosin S.G. The Hamiltonian in Covariant Theory of Gravitation. Advances in Natural Science, 2012, Vol. 5, No. 4, P. 55 – 75.
[16] Fedosin S.G. Fizicheskie teorii i beskonechnaia vlozhennost’ materii (Perm, 2009).
[17] Christensen-Dalsgaard et al. (1996) The current state of solar modeling. Science, Vol. 272, P. 1286 - 1292.
[18] Alfè, D.; Gillan, M. J.; Vocadlo, L.; Brodholt, J.; Price, G. D. (2002). The ab initio simulation of the Earth's core. Philosophical Transactions of the Royal Society. Vol. 360 (1795), P.1227–1244.
[19] Clemens, Dan P.; Yun, Joao Lin; Meyer, Mark H. (March 1991), BOK globules and small molecular clouds – Deep IRAS photometry and 12CO spectroscopy, Astrophysical Journal Supplement 75: 877.
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  • APA Style

    Sergey Grigor'yevich Fedosin. (2014). The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field. American Journal of Modern Physics, 3(4), 152-167. https://doi.org/10.11648/j.ajmp.20140304.12

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    ACS Style

    Sergey Grigor'yevich Fedosin. The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field. Am. J. Mod. Phys. 2014, 3(4), 152-167. doi: 10.11648/j.ajmp.20140304.12

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    AMA Style

    Sergey Grigor'yevich Fedosin. The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field. Am J Mod Phys. 2014;3(4):152-167. doi: 10.11648/j.ajmp.20140304.12

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  • @article{10.11648/j.ajmp.20140304.12,
      author = {Sergey Grigor'yevich Fedosin},
      title = {The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field},
      journal = {American Journal of Modern Physics},
      volume = {3},
      number = {4},
      pages = {152-167},
      doi = {10.11648/j.ajmp.20140304.12},
      url = {https://doi.org/10.11648/j.ajmp.20140304.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140304.12},
      abstract = {As a result of integration of the equations of motion with regard to the pressure field and acceleration field the system’s integral energy-momentum 4-vector is found. It is shown that this vector in the covariant theory of gravitation must be equal to zero. This allows us to explain the 4/3 problem and the problem of neutrino energy in an ideal spherical supernova collapse. At the same time, in order to describe the system’s state, instead of the integral 4-vector we must use the four-momentum, which is derived from the Lagrangian. The described approach differs substantially from the results of the general theory of relativity, in which the integral 4-vector serves as the system’s four-momentum, and the stress-energy tensor of the gravitational field is replaced by the corresponding pseudotensor.},
     year = {2014}
    }
    

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    AB  - As a result of integration of the equations of motion with regard to the pressure field and acceleration field the system’s integral energy-momentum 4-vector is found. It is shown that this vector in the covariant theory of gravitation must be equal to zero. This allows us to explain the 4/3 problem and the problem of neutrino energy in an ideal spherical supernova collapse. At the same time, in order to describe the system’s state, instead of the integral 4-vector we must use the four-momentum, which is derived from the Lagrangian. The described approach differs substantially from the results of the general theory of relativity, in which the integral 4-vector serves as the system’s four-momentum, and the stress-energy tensor of the gravitational field is replaced by the corresponding pseudotensor.
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Author Information
  • Perm State University, Bukireva Str. 15, Perm 614990, Russia

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