Classical Physics


Energy Velocity and Reactive Fields

Authors: Hans G. Schantz

Conventional definitions of “near fields” set bounds that describe where near fields may be found. These definitions tell us nothing about what near fields are, why they exist, or how they work. In 1893, Heaviside derived the electromagnetic energy velocity for plane waves. Subsequent work demonstrated that although energy moves in synchronicity with radiated electromagnetic fields at the speed of light, in reactive fields the energy velocity slows down, converging to zero in the case of static fields. Combining Heaviside's energy velocity relation with the field Lagrangian yields a simple parameterization for the reactivity of electromagnetic fields that provides profound insights to the behaviour of electromagnetic systems. Fields guide energy. As waves interfere, they guide energy along paths that may be substantially different from the trajectories of the waves themselves. The results of this paper not only resolve the long standing paradox of runaway acceleration from radiation reaction, but also make clear that pilot wave theory is the natural and logical consequence of the need for quantum mechanics to correspond to the macroscopic results of classical electromagnetic theory.

Comments: 17 Pages. Equation graphics fixed

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Submission history

[v1] 2018-10-30 08:47:59
[v2] 2018-10-31 09:04:55
[v3] 2019-04-18 10:57:30

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