Abstract
A new concept is proposed for constructing the theory of coupled mechanical and electrodynamic processes in deformable media. It is based on the double-continuum mechanics of dielectric materials. The phenomenological and discrete-structural methods for deriving the equations of the theory are considered. These equations reduce to a system of connected equations for the displacements of neutral molecules and electric field intensity, satisfy the Galilean relativity principle, and describe longitudinal electric and transverse electromagnetic dispersive waves. Maxwell's equations follow from those equations as a particular case. The ether is modeled as a perfectly liquid dielectric. The theory is capable of explaining Fizeau's and Michelson's experiments and stellar aberration without invoking Einstein's postulates
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