An Analysis of the Origin of the Interaction Force between Electric Charges, including Justification of the ln<i>r</i> Term in the Completed Coulomb’s Law, in HM16 Ether

Abstract

In this study, we demonstrate the correctness of our 2010 hypothesis regarding the need to complete Coulomb’s F C law with the term ln r , resulting in the completed F CC force. For this purpose, we consider the electrical interactions between charged microparticles (MPs), which develop as fundamental vibrations (FVs) in ether, producing the vibrational strains &epsilon; and &gamma; and the resulting stresses &sigma; and &tau; , as percussions of ether cells (ECs) upon the MP surface. The stresses &sigma; and &tau; produce a resultant force F P , due to the percussions which constitute the real electric force F CC . The spatial effect of ether on F P is demonstrated by an analytical method, considering the electrical interaction between MPs through various equidistant spatial paths l i of FVs, modelled on the basis of the Huygens principle for waves. For this issue, we utilized a numerical calculation, which could be generalized. But this spatial effect of the ether leads at a very slow decreasing of the F P forces ratio r F when doubling the distance l , in contrast to Coulomb’s F C forces whose ratio r F decreases accentuate with doubling l . Accordingly, the necessity of including the term ln r in the F CC force, which is limited to 1.0 for doubling l , at long distances, was justified.