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Year 2019, Volume: 5 Issue: 1, 46 - 62, 26.06.2019
https://doi.org/10.23884/mejs.2019.5.1.06

Abstract

References

  • 1. Landau L.D., Lifshitz E.M. The Classical Theory of Fields (Vol. 2, 4th ed. Butterworth-Heinemann, 1975).
  • 2. Denisov V.I., Logunov A.A. The inertial mass defined in the general theory of relativity has no physical meaning. Theoretical and Mathematical Physics, Vol. 51, Issue 2, pp. 421-426 (1982). doi: 10.1007/BF01036205.
  • 3. Khrapko R.I. The Truth about the Energy-Momentum Tensor and Pseudotensor. Gravitation and Cosmology, Vol. 20, No. 4, pp. 264-273 (2014). doi: 10.1134/S0202289314040082.
  • 4. Fedosin S.G. Relativistic Energy and Mass in the Weak Field Limit. Jordan Journal of Physics, Vol. 8, No. 1, pp. 1-16 (2015). doi: 10.5281/zenodo.889210.
  • 5. Chernikov N.A. Derivation of the equations of relativistic hydrodynamics from the relativistic transport equation. Physics Letters, Vol. 5, No. 2, pp. 115-117 (1963).
  • 6. Vlasov A.A. On Vibration Properties of Electron Gas. J. Exp. Theor. Phys. (in Russian). Vol. 8 (3), 291 (1938).
  • 7. Fedosin S.G. Estimation of the physical parameters of planets and stars in the gravitational equilibrium model. Canadian Journal of Physics, Vol. 94, No. 4, pp. 370-379 (2016). doi: 10.1139/cjp-2015-0593.
  • 8. Fedosin S.G. About the cosmological constant, acceleration field, pressure field and energy. Jordan Journal of Physics, Vol. 9, No. 1, pp. 1-30 (2016). doi: 10.5281/zenodo.889304.
  • 9. Fedosin S.G. The Concept of the General Force Vector Field. OALib Journal, Vol. 3, pp. 1-15 (2016), e2459. doi: 10.4236/oalib.1102459.
  • 10. Fedosin S.G. Two components of the macroscopic general field. Reports in Advances of Physical Sciences, Vol. 1, No. 2, 1750002, 9 pages (2017). doi: 10.1142/S2424942417500025.
  • 11. Fedosin S.G. The Gravitational Field in the Relativistic Uniform Model within the Framework of the Covariant Theory of Gravitation. International Letters of Chemistry, Physics and Astronomy, Vol. 78, pp. 39-50 (2018). doi: 10.18052/www.scipress.com/ILCPA.78.39.
  • 12. Fedosin S.G. The virial theorem and the kinetic energy of particles of a macroscopic system in the general field concept. Continuum Mechanics and Thermodynamics, Vol. 29, Issue 2, pp. 361-371 (2016). doi: 10.1007/s00161-016-0536-8.
  • 13. Fedosin S.G. 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, Vol. 3, No. 4, pp. 152-167 (2014). doi: 10.11648/j.ajmp.20140304.12.
  • 14. Fedosin S.G. The procedure of finding the stress-energy tensor and vector field equations of any form. Advanced Studies in Theoretical Physics, Vol. 8, pp. 771-779 (2014). doi: 10.12988/astp.2014.47101.
  • 15. Fedosin S.G. The radius of the proton in the self-consistent model. Hadronic Journal, Vol. 35, No. 4, pp. 349-363 (2012). doi: 10.5281/zenodo.889451.
  • 16. Oppenheimer J.R., Volkoff G.M. On Massive Neutron Cores. Physical Review. Vol. 55 (4), 374-381 (1939). doi: 10.1103/PhysRev.55.374.

THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL

Year 2019, Volume: 5 Issue: 1, 46 - 62, 26.06.2019
https://doi.org/10.23884/mejs.2019.5.1.06

Abstract



The total energy,
binding energy, energy of fields, pressure energy and the potential energy of
the system consisting of particles and four fields is precisely calculated in
the relativistic uniform model. These energies are compared with the kinetic
energy of particles. The relations between the coefficients of the acceleration
field and the pressure field independent of the system’s properties are found,
which can be expressed in terms of each other and in terms of the gravitational
constant and the vacuum permittivity. A noticeable difference is shown between
the obtained results and the relations for simple systems in classical
mechanics, in which the acceleration field and pressure field are not taken
into account or the pressure is considered to be a simple scalar quantity. The
conclusion is substantiated that as increasingly massive relativistic uniform
systems are formed, the average density of these systems decreases as compared
to the average density of the particles or bodies making up these systems. In
this case the inertial mass of the massive system is less than the total
inertial mass of the system’s parts.




References

  • 1. Landau L.D., Lifshitz E.M. The Classical Theory of Fields (Vol. 2, 4th ed. Butterworth-Heinemann, 1975).
  • 2. Denisov V.I., Logunov A.A. The inertial mass defined in the general theory of relativity has no physical meaning. Theoretical and Mathematical Physics, Vol. 51, Issue 2, pp. 421-426 (1982). doi: 10.1007/BF01036205.
  • 3. Khrapko R.I. The Truth about the Energy-Momentum Tensor and Pseudotensor. Gravitation and Cosmology, Vol. 20, No. 4, pp. 264-273 (2014). doi: 10.1134/S0202289314040082.
  • 4. Fedosin S.G. Relativistic Energy and Mass in the Weak Field Limit. Jordan Journal of Physics, Vol. 8, No. 1, pp. 1-16 (2015). doi: 10.5281/zenodo.889210.
  • 5. Chernikov N.A. Derivation of the equations of relativistic hydrodynamics from the relativistic transport equation. Physics Letters, Vol. 5, No. 2, pp. 115-117 (1963).
  • 6. Vlasov A.A. On Vibration Properties of Electron Gas. J. Exp. Theor. Phys. (in Russian). Vol. 8 (3), 291 (1938).
  • 7. Fedosin S.G. Estimation of the physical parameters of planets and stars in the gravitational equilibrium model. Canadian Journal of Physics, Vol. 94, No. 4, pp. 370-379 (2016). doi: 10.1139/cjp-2015-0593.
  • 8. Fedosin S.G. About the cosmological constant, acceleration field, pressure field and energy. Jordan Journal of Physics, Vol. 9, No. 1, pp. 1-30 (2016). doi: 10.5281/zenodo.889304.
  • 9. Fedosin S.G. The Concept of the General Force Vector Field. OALib Journal, Vol. 3, pp. 1-15 (2016), e2459. doi: 10.4236/oalib.1102459.
  • 10. Fedosin S.G. Two components of the macroscopic general field. Reports in Advances of Physical Sciences, Vol. 1, No. 2, 1750002, 9 pages (2017). doi: 10.1142/S2424942417500025.
  • 11. Fedosin S.G. The Gravitational Field in the Relativistic Uniform Model within the Framework of the Covariant Theory of Gravitation. International Letters of Chemistry, Physics and Astronomy, Vol. 78, pp. 39-50 (2018). doi: 10.18052/www.scipress.com/ILCPA.78.39.
  • 12. Fedosin S.G. The virial theorem and the kinetic energy of particles of a macroscopic system in the general field concept. Continuum Mechanics and Thermodynamics, Vol. 29, Issue 2, pp. 361-371 (2016). doi: 10.1007/s00161-016-0536-8.
  • 13. Fedosin S.G. 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, Vol. 3, No. 4, pp. 152-167 (2014). doi: 10.11648/j.ajmp.20140304.12.
  • 14. Fedosin S.G. The procedure of finding the stress-energy tensor and vector field equations of any form. Advanced Studies in Theoretical Physics, Vol. 8, pp. 771-779 (2014). doi: 10.12988/astp.2014.47101.
  • 15. Fedosin S.G. The radius of the proton in the self-consistent model. Hadronic Journal, Vol. 35, No. 4, pp. 349-363 (2012). doi: 10.5281/zenodo.889451.
  • 16. Oppenheimer J.R., Volkoff G.M. On Massive Neutron Cores. Physical Review. Vol. 55 (4), 374-381 (1939). doi: 10.1103/PhysRev.55.374.
There are 16 citations in total.

Details

Primary Language English
Subjects Metrology, Applied and Industrial Physics
Journal Section Article
Authors

Sergey G. Fedosin 0000-0003-3627-2369

Publication Date June 26, 2019
Submission Date February 5, 2019
Acceptance Date May 26, 2019
Published in Issue Year 2019 Volume: 5 Issue: 1

Cite

IEEE S. G. Fedosin, “THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL”, MEJS, vol. 5, no. 1, pp. 46–62, 2019, doi: 10.23884/mejs.2019.5.1.06.

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