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Kepler's Problem and the Problems with the Keplerian

by Correa, Paulo N. & Correa, Alexandra N.

Published in March 2023.     54 pages.

Aetherometric Theory of Synchronicity, Vol. 7

Monograph AS3-VII.3

Price:   US $40


Kepler's problem was to find the rationale of the places occupied by planets, at once an astrophysical and a mathematico-geometric problem. To find the hidden structure of the solar system raises the fundamental question of the physical relations between Time and Space, and their commensurability. Newton's "third law" throws no light upon Kepler's problem, since it would hold no matter how many planets there were, or what their distances from the Sun might be. In parallel, the definition of Kepler's constant (the Keplerian) that applies to all planetarian orbits, raises the twin questions of what the accurate measures are of radial distance and duration of a revolution. In the present monograph, the authors show how the reciprocal of the Keplerian provides the massfree gravitational energy unit of the solar system, and how it varies from planet to planet. They find that the variation abides by an orderly wave pattern that invokes the fine-structure constant and is the result of the conjunction of three distinct ambipolar wavefronts emitted by the Sun. The authors determine the ambipolar and sonic frequencies of the sweeping wavefronts, and suggest that the latters' structure depends upon differential rotation of three distinct solar layers. Following Kepler's intuition, they provide the musical map of the solar system; but it is different from Kepler's "harmony of the spheres". The authors also determine the power and energy of the basic modal ambipolon emitted by the Sun.