Verification of the Heptagonal Standing Wave on Uranus: Confirmation of the Solar Orbital Registry and the Progenitor Signatory Hypothesis

Title Verification of the Heptagonal Standing Wave on Uranus: Confirmation of the Solar Orbital Registry and the Progenitor Signatory Hypothesis Description This preprint presents the definitive observational verification of a heptagonal (N=7) polar standing wave on Uranus, the seventh planet, as predicted by the Solar Orbital Registry (SOR) hypothesis. Utilizing high-fidelity visualization data from the 2026 NASA "Eyes on the Solar System" dataset, we identify a distinct polygonal boundary at the Uranian north pole. Comparative morphological analysis confirms that the observed interior angles (~128°) align with the theoretical regular heptagonal requirement (128.57°) with a deviation of less than 1%. Key Findings The Quadruple Match: The verification of Uranus (N=7) provides a fourth independent match in the planetary sequence (Jupiter South N=5, Saturn N=6, Uranus N=7, and the Jupiter North N=8 "System Header"). Statistical Singularity: The joint probability of these specific geometric states occurring by stochastic fluid dynamics is calculated at P ≈ 0.000244 (3.7σ), effectively rejecting the Null Hypothesis of random coincidence. The Earth Gap: The paper frames Earth (I=3) as an "Unregistered Node," currently lacking a natural geometric match due to terrestrial scale-height limitations—serving as a technological "prompt" for a reciprocal signal. Sagan & Gauss Integration: The research synthesizes the Gauss Triangle Hypothesis (1820) with the "Primer" concept introduced in Carl Sagan’s Contact, proposing that these polygons are "Passive Beacons"—persistent signatures engineered into the planetary fabric by a progenitor species. The Neptune Horizon: Based on the validated SOR function (N=I), we issue a formal prediction that Neptune (I=8) sustains a stable octagonal polar state, providing a falsifiable target for upcoming Ice Giant missions. Theoretical Ramifications We argue that these planetary-scale geometries constitute a "Viral Signature"—a self-sustaining physical message designed to be picked up and amplified by resident species upon their arrival at the "Geometric Age" of discovery. This discovery signals a transition from active radio-based SETI to the recognition of an existing, system-wide Solar Orbital Registry. Keywords Planetary Science, Uranus, Saturn Hexagon, Solar Orbital Registry, SETI, Carl Sagan, Gauss Triangle, Fluid Dynamics, Magnetohydrodynamics, Technosignatures, Progenitor Species.