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I showed that at most one point on the particle trajectory communicates with 𝐫 at any given time. In some cases there may be n o such point (an observer at 𝐫 would not see the particle- -in the colorful language of General Relativity it is "beyond the horizon"). As an example, consider a particle in hyperbolic motion along the x axis: 𝐰(t)=√(b^2 (c t)^2) 𝐱̂ (-∞<t<∞) (In Special Relativity this is the trajectory of a particle subject to a constant force F=m c^2 / b.) Sketch the graph of w v
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