Abstract
It is shown that every regular electromagnetic field in vacuum identically satisfies Maxwell equations in a new space-time, where the roles of space and time have been exchanged. The new metric is also Lorentzian, which depends on the particular solution and forces the flow of time to tilt somehow in the direction of the field lines. We give a detailed description of the transformation and discuss several of its properties, both in algebraic and differential settings. Examples are given where the new metrics are explicitly computed and carefully analyzed. We conclude with possible applications of the transformation as well as future perspectives.
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