THE BINDING ENERGY AND THE TOTAL ENERGY OF A MACROSCOPIC BODY IN THE RELATIVISTIC UNIFORM MODEL
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.
Keywords
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.
Details
Primary Language
English
Subjects
Metrology, Applied and Industrial Physics
Journal Section
Research Article
Authors
Sergey G. Fedosin
0000-0003-3627-2369
Russian Federation
Publication Date
June 26, 2019
Submission Date
February 5, 2019
Acceptance Date
May 26, 2019
Published in Issue
Year 2019 Volume: 5 Number: 1
Cited By
The potentials of the acceleration field and pressure field in rotating relativistic uniform system
Continuum Mechanics and Thermodynamics
https://doi.org/10.1007/s00161-020-00960-7







