Abstract
We give a new proof that electromagnetic waves predict geometry, based on studying the propagation of singularities in first-order derivatives of generalized solutions to Maxwell's equations. As a byproduct, the growth of the intensity of the jumps in across a characteristic hypersurface is shown to be homogeneous of degree . We determine generalized solutions (whose first-order derivatives have jumps across a fixed characteristic line) to the initial value problem for Maxwell's equations in one space variable.
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