Difference between revisions of "Neo-Hertzian Wave Equation and Aberration"
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| − | Heinrich Hertz developed a covering theory of Maxwell's equations that was Galilean invariant - i.e., first-order invariant, not covariant. This was accomplished by replacing Maxwell's partial time derivatives with total (complete) time derivatives, while leaving the spatial partial derivatives unaltered. To proceed to high-order approximations, frame time is replaced by field detector proper time. The resulting "neo-Hertzian" wave equation is solved in three dimensions by the method of d'Alembert. The solution is shown to give an account of aberration, based on a 3-vector invariance, that is simpler and less beset with equivocations than that offered by the established 4-vector covariant formalism. The 4-vectors seem to be fighting the physics every step of the way - and, were it not for their friends, losing.[[Category:Scientific Paper]] | + | Heinrich Hertz developed a covering theory of Maxwell's equations that was Galilean invariant - i.e., first-order invariant, not covariant. This was accomplished by replacing Maxwell's partial time derivatives with total (complete) time derivatives, while leaving the spatial partial derivatives unaltered. To proceed to high-order approximations, frame time is replaced by field detector proper time. The resulting "neo-Hertzian" wave equation is solved in three dimensions by the method of d'Alembert. The solution is shown to give an account of aberration, based on a 3-vector invariance, that is simpler and less beset with equivocations than that offered by the established 4-vector covariant formalism. The 4-vectors seem to be fighting the physics every step of the way - and, were it not for their friends, losing. |
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| + | [[Category:Scientific Paper|neo-hertzian wave equation aberration]] | ||
Latest revision as of 10:44, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | Neo-Hertzian Wave Equation and Aberration |
| Author(s) | Thomas E Phipps |
| Keywords | Maxwell's equations, time derivatives, covariant |
| Published | 1994 |
| Journal | Galilean Electrodynamics |
| Volume | 5 |
| Number | 3 |
| Pages | 46-54 |
Abstract
Heinrich Hertz developed a covering theory of Maxwell's equations that was Galilean invariant - i.e., first-order invariant, not covariant. This was accomplished by replacing Maxwell's partial time derivatives with total (complete) time derivatives, while leaving the spatial partial derivatives unaltered. To proceed to high-order approximations, frame time is replaced by field detector proper time. The resulting "neo-Hertzian" wave equation is solved in three dimensions by the method of d'Alembert. The solution is shown to give an account of aberration, based on a 3-vector invariance, that is simpler and less beset with equivocations than that offered by the established 4-vector covariant formalism. The 4-vectors seem to be fighting the physics every step of the way - and, were it not for their friends, losing.
