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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20389394 |
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Table of Contents:
- <p>Paper 62V derives the perihelion-precession precondition implied by the Paper 62U correction-layer support-action Lagrangian in Holosphere gravity. Paper 62U derived the first post-Newtonian-style correction terms from the mass-scaled vacancy-loading support envelope while keeping the second-order coefficients open. Paper 62V asks what perihelion-type orbit shift follows from that correction layer.</p> <p>The starting point is the correction Lagrangian from Paper 62U. It contains a velocity-quartic term, potential-kinetic terms, a radial-velocity support term, and a potential-squared term controlled by the open coefficient a_2. Paper 62V rewrites that correction layer in orbital variables, derives the corrected conserved quantities, reduces the motion to a perturbed orbit equation, and extracts the resonant term that drives secular perihelion shift.</p> <p>The central result is a symbolic precession coefficient. The Holosphere perihelion-type shift is 2 pi times 3 minus a_2, multiplied by G_H M divided by c squared a times 1 minus e squared, up to higher-order corrections. Here G_H is the internal Holosphere weak-field coupling, a is the semi-major axis, and e is orbital eccentricity. The coefficient function is therefore F_H of a_2 equals 2 pi times 3 minus a_2.</p> <p>Comparing this expression with the familiar leading weak-field perihelion target gives the matching condition a_2 equals 0 in the declared support-envelope convention. This is not assumed and not fitted. It is the value a future second-order vacancy-loading derivation would need to explain. If the strict reciprocal single-factor relation a_2 plus b_2 equals 4 is retained, then the same matching target implies b_2 equals 4 and the second-order vacancy-loading coefficient ell_2 equals 3 over 2.</p> <p>Paper 62V does not derive the observed numerical value of G, full PPN parameters, the Einstein field equations, second-order null optics, or observed solar-system agreement. Its narrower contribution is to turn the correction-layer Lagrangian into a concrete perihelion-precession coefficient function and identify the second-order coefficient targets that future Holosphere papers must derive or test.</p>