Mass-area equivalence in classical physics and aspects of mutual shielding of objects

Abstract

The physical and mathematical aspects of the mutual spatial shielding of interacting elements in the framework of classical physics are considered. The mass-area equivalence is introduced for the formal unification of the Newtonian theory of gravity with the kinetic theories of Descartes-Fatio-Le Sage. A mathematical equation describing the dependence of the mutual shielding of objects on their size, number and relative location is proposed. Spatial mutual shielding is considered for mass-forming elements—nucleons in the atomic nucleus and atomic nuclei in ordinary substances. The close shielding is distinguished when the distance between the shielding elements is commensurate with their size, which is typical for nucleons in atomic nuclei and the far shielding, when the distance between the elements is much larger than their size, which is typical for atomic nuclei in ordinary substances. An analytical expression for the binding energy of nucleons in atomic nucleus is obtained. It allows us to estimate the distance between nucleons in the nucleus and consider stability of nuclei as a function of the distance between nucleons, which increases due to an increase in the Coulomb repulsion force with an increase in the number of protons. One of the three ideas of Dirac, presented by him for the further development of the physical theory, is implemented: taking into account the sizes of elementary particles—nucleons.