Abstract

We start with an intuitive example from the Maxwell theory in special Relativity. Consider a charged particle which is initially at rest and starts being accelerated e.g. at t = O. The retarded electromagnetic field produced by this particle will be initially time-independent, changing later to a variable field. The two regions of the space-time, in which the field is time-independent or variable, will be separated by a hypersurface ∑ which is seen at once to be the future light cone of the point of space-time representing the position of the particle at t = 0. An accelerated charge emits electromagnetic radiation. Therefore the surface ∑ will be the front of the wave emitted by the accelerated particle.

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