Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Hydrodynamic Equilibrium and Stability for Particle's Energy-density Wave-packets: State and Revision

Author(s):

Zoran Majkic

International Society for Research in Science and Technology
PO Box 2464 Tallahassee, FL 32316 - 2464 USA

majk.1234@yahoo.com

Abstract:

We consider the 3-dimensional (3-D) model of the massive particles, represented as the rest-mass energy-density wave-packets, which is analog to the common physical objects which we experiment in our every-day life, if we consider a physical object with a mass $m$ for example, as a matter/energy-density contained in this 3-D form, such that the integration of this energy-density contained in this 3-D volume is equal to the energy E = mc^2. This is a complete revision and improvement of previous work [10] or the analysis of particle's internal dynamic during particle's accelerations and hence we use the three conservation laws for the compressive fluids: energy/matter conservation, momentum conservation and internal energy conservation laws. Consequently, we show the new method for computation of the hydrostatic equilibrium of a massive elementary particle during inertial propagation in a vacuum with a stable spherically symmetric rest-mass energy density distribution, such that with this stationary distribution the internal self-gravitational force is constant and equal in each point inside the particle. Then we show how the self-gravitational forces generated by the rest-mass energy-density of massive particles in 3-D provide the auto-stability process during the small perturbations, which cause particle's accelerations, and their return to the inertial propagation in the vacuum.

Keywords

References:

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