Derivation of Electromagnetism from the Elastodynamics of the Spacetime Continuum

We derive Electromagnetism from the Elastodynamics of the Spacetime Continuum based on the identi cation of the theory’s antisymmetric rotation tensor with the electromagnetic eld-strength tensor. The theory provides a physical explanation of the electromagnetic potential, which arises from transverse (shearing) displacements of the spacetime continuum, in contrast to mass which arises from longitudinal (dilatational) displacements. In addition, the theory provides a physical explanation of the current density four-vector, as the 4-gradient of the volume dilatation of the spacetime continuum. The Lorentz condition is obtained directly from the theory. In addition, we obtain a generalization of Electromagnetism for the situation where a volume force is present, in the general non-macroscopic case. Maxwell’s equations are found to remain unchanged, but the current density has an additional term proportional to the volume force.