Abstract
A family of trajectories of a single particle, parameterized by initial velocities on some space-like hypersurface, is somewhat analogous to streamline fluid flow. This model is applied to electromagnetism and gravity by introducing velocity and displacement fields. The resulting kinetic field equations are of simpler form than the original equations of motion, and have certain advantages for solution. The gravitational kinetic field equation is, in fact, linear. Some simple solutions are given for illustration.
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References
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Westgard, J.B. Fluid models of single-particle kinematics. Found Phys Lett 2, 209–222 (1989). https://doi.org/10.1007/BF00692667
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DOI: https://doi.org/10.1007/BF00692667