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

Sergey Grigor'yevich Fedosin

doi:doi:10.11648/j.ajmp.20140304.12

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

Sergey Grigor'yevich Fedosin

Published in American Journal of Modern Physics (Volume 3, Issue 4)

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.

Published in	American Journal of Modern Physics (Volume 3, Issue 4)
DOI	10.11648/j.ajmp.20140304.12
Page(s)	152-167
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), 2014. 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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[3]	Poincaré H. Sur la dynamique de l’électron. – C. R. Acad Sci., Paris, 1905, v. 140, p. 1504.
[4]	Mie G. Grundlagen einer Theorie der Materie. – Ann. d. Phys., 1912, Bd 37, S. 511; 1912, Bd 39, S. 1; 1913, Bd 40, S. 1.
[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.
[20]	J. M. Lattimer and M. Prakash, Neutron Star Structure and the Equation of State. Astrophysical J. Vol. 550(1) P. 426-442 (2001).

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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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TY  - JOUR
T1  - The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field
AU  - Sergey Grigor'yevich Fedosin
Y1  - 2014/06/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140304.12
DO  - 10.11648/j.ajmp.20140304.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 152
EP  - 167
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140304.12
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.
VL  - 3
IS  - 4
ER  -

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Author Information

Sergey Grigor'yevich Fedosin

Perm State University, Bukireva Str. 15, Perm 614990, Russia

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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}
}

Copy | Download

TY  - JOUR
T1  - The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field
AU  - Sergey Grigor'yevich Fedosin
Y1  - 2014/06/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140304.12
DO  - 10.11648/j.ajmp.20140304.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 152
EP  - 167
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140304.12
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.
VL  - 3
IS  - 4
ER  -

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