Invariances and transformations
Résumé
Essential point of the essay: source field equations for gravitation.
On the model of the magnetic field and electric field couple, it is proposed to interpret the pulse and the wave vector as a pulse field and wave vector field couple.
By applying Ampère's theorem (i.e., following an analogy with Maxwell Ampère's source field equations) to this pulse field and this wave vector field, and then substituting the sources of electric charge and current densities by mass and momentum densities, several source field equations apply to gravitation are obtained.
Among these gravitational source field equations, we find Gauss gravitation, albeit slightly modified. A little more surprising, we also find the fundamental principle of dynamics of Isaac Newton and the momentum wavelength relationship of Albert Einstein and Louis de Broglie.
By dividing the 1st Ampere term by the 1st Gaussian term, we find a group velocity (or similar), both for electromagnetism and for gravitation, provided we verify a relationship between the constants of the source field equations concerned.
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