Wang - 2008 - Derivation of Maxwell’s Equations Based on a Continuum Mechanical Model.pdf

April, 2008 PROGRESS IN PHYSICS Volume 2
Derivation of Maxwell’s Equations Based on a Continuum Mechanical Model
of Vacuum and a Singularity Model of Electric Charges
Xiao-Song Wang
E-mail: wangxs1999@
The main purpose of this paper is to seek a mechanical interpretation of ic
phenomena. We suppose that vacuum is filled with a kind of continuously distributed
material which may be called
(1) substratum. Further, we speculate that the
(1)
substratum might behave like a fluid with respect to translational motion of large bod-
ies through it, but would still posses elasticity to produce small transverse vibrations.
Thus, we propose a visco-elastic constitutive relation of the
(1) substratum. Further-
more, we speculate that electric charges are emitting or absorbing the
(1) substratum
continuously and establish a fluidic source and sink model of electric charges. Thus,
Maxwell’s equations in vacuum are derived by methods of continuum mechanics based
on this mechanical model of vacuum and the singularity model of electric charges.
1 Introduction Third, there exists some divergence problems in Quantum
Electrodynamics [8]. By Dirac’s words, “I must say that I
Maxwell’s equations in vacuum can be written as [1] am very dissatisfied with the situation, because this so-called
 e good theory does involve neglecting infinities which appear in
r
E = ;