On the nonlinear continuum mechanics of space and the notion of luminiferous medium
@article{Christov2009OnTN, title={On the nonlinear continuum mechanics of space and the notion of luminiferous medium}, author={C. I. Christov}, journal={Nonlinear Analysis-theory Methods & Applications}, year={2009}, volume={71} }
Abstract We prove that, when linearized, the governing equations of an incompressible elastic continuum yield Maxwell’s equations as corollaries. Through judicious distinction between the referential and local descriptions, the principle of material invariance is established and shown to be a true covariance principle, unlike the Lorentz covariance, which is valid only for non-deforming frames in rectilinear relative motion. Thus, this paper establishes that electrodynamics can be fully… CONTINUE READING
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