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Published July 7, 2026 | Version v1

A Triadic Solution to the General N-Body Problem

Description

This paper presents a constructive triadic solution to the general N-body problem.
The solution is formulated as a triadic kernel-series closure operator for arbitrary finite
N under certified admissibility, modulo gauge equivalence, multi-route equivalence, and
lawful collision branch policy. The construction represents every directed body-reference
lane L(i | j) through the triadic sequence CIF/QV/RFL, with return memory Mrec
and kernel action Kf preserving recurrence, branch legality, and body-family closure. A
central feature is that adding bodies does not merely add chaos or obstruction. In the
triadic formulation, increasing N increases the directed lane structure, and additional
lanes can create additional lawful closure routes. These additional closures are treated
as solution capacity: same valid closure defines gauge equivalence, different valid closure
defines route strength, and only non-lawful or unwitnessed branches define obstruction.
The paper states the main finite-N closure theorem, defines the constructive operator,
proves the route-class coefficient and convergence structure, incorporates exact collision
through event-lift and branch policy, and gives a public reproducibility protocol based
on NASA/JPL periodic-orbit data. The claim is a constructive triadic closed-form
kernel-series closure, not a finite elementary coordinate formula, not a machine-checked
 proof, and not a claim of peer-review certification

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