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

#### Sergey G. FEDOSİN [1]

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.

relativistic uniform system, binding energy, total energy, pressure energy, potential energy, kinetic energy
• 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.
Primary Language en Physics, Applied Article Orcid: 0000-0003-3627-2369Author: Sergey G. FEDOSİN Country: Russian Federation Application Date : February 5, 2019 Acceptance Date : May 26, 2019 Publication Date : June 26, 2019
 Bibtex @research article { mejs522408, journal = {Middle East Journal of Science}, issn = {}, eissn = {2618-6136}, address = {}, publisher = {INESEG YAYINCILIK}, year = {2019}, volume = {5}, pages = {46 - 62}, doi = {10.23884/mejs.2019.5.1.06}, title = {THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL}, key = {cite}, author = {Fedosi̇n, Sergey G.} } APA Fedosi̇n, S . (2019). THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL . Middle East Journal of Science , 5 (1) , 46-62 . DOI: 10.23884/mejs.2019.5.1.06 MLA Fedosi̇n, S . "THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL" . Middle East Journal of Science 5 (2019 ): 46-62 Chicago Fedosi̇n, S . "THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL". Middle East Journal of Science 5 (2019 ): 46-62 RIS TY - JOUR T1 - THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL AU - Sergey G. Fedosi̇n Y1 - 2019 PY - 2019 N1 - doi: 10.23884/mejs.2019.5.1.06 DO - 10.23884/mejs.2019.5.1.06 T2 - Middle East Journal of Science JF - Journal JO - JOR SP - 46 EP - 62 VL - 5 IS - 1 SN - -2618-6136 M3 - doi: 10.23884/mejs.2019.5.1.06 UR - https://doi.org/10.23884/mejs.2019.5.1.06 Y2 - 2019 ER - EndNote %0 Middle East Journal of Science THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL %A Sergey G. Fedosi̇n %T THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL %D 2019 %J Middle East Journal of Science %P -2618-6136 %V 5 %N 1 %R doi: 10.23884/mejs.2019.5.1.06 %U 10.23884/mejs.2019.5.1.06 ISNAD Fedosi̇n, Sergey G. . "THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL". Middle East Journal of Science 5 / 1 (June 2019): 46-62 . https://doi.org/10.23884/mejs.2019.5.1.06 AMA Fedosi̇n S . THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL. MEJS. 2019; 5(1): 46-62. Vancouver Fedosi̇n S . THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL. Middle East Journal of Science. 2019; 5(1): 46-62. IEEE S. Fedosi̇n , "THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL", Middle East Journal of Science, vol. 5, no. 1, pp. 46-62, Jun. 2019, doi:10.23884/mejs.2019.5.1.06

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