The Solar Orbital Registry: Geometric Standing Waves and Systemic Order in the Outer Planets

Abstract:

We present a unified theory of planetary atmospheric dynamics, the Solar Orbital Registry (SOR), which posits a fundamental correlation between a planet's sequential orbital position (I) and the geometric wavenumber (N) of stable standing waves at its poles. While the hexagonal storm at Saturn's north pole has been known since the Voyager missions, it has typically been treated as an isolated fluid-dynamic curiosity. By integrating recent infrared data from Jupiter (I=5) and new high-fidelity visualizations of Uranus (I=7), we demonstrate a system-wide integer sequence where N is approximately equal to I.

This paper establishes the theoretical framework of the Registry, extending the "Gauss Signal" hypothesis to the terrestrial planets where we identify a potential lithospheric artifact on Mars (I=4). Statistical analysis of the gas giant sequence (N=5, 6, 7), including the Jovian "System Header" (C=8), indicates a negligible joint probability (P < 0.00025) of stochastic origin, supporting the hypothesis of a macroscopic ordering principle inherent to the solar system.

Key Contributions:

• The Registry Function: Proposes the law N(pole) = I(orbit) for gas giant magnetohydrodynamics.

• Uranus Verification: Identifies a stable heptagonal (N=7) standing wave on the seventh planet, filling the gap between Saturn (N=6) and the predicted Neptune octagon (N=8).

• The Martian Artifact (I=4): Identifies the "Tharsis T-Structure"—the geometric alignment of Olympus Mons bisecting the Tharsis Montes chain, pointed to by Valles Marineris—as a potential lithospheric counterpart to the atmospheric polygons of the outer giants.

• Progenitor Signatory Hypothesis: Reinterprets these macroscopic features as "Passive Beacons" or technosignatures intended to signal the presence of a geometric registry to local observers.

Keywords Planetary Fluid Dynamics, Saturn Hexagon, Solar Orbital Registry, Technosignatures, SETI, Uranus Heptagon, Rossby Waves, Progenitor Signatory, Mars Tharsis, Gauss Signal, Astrobiology, Geometric Cosmology

Notes This preprint includes 2026 visualization data and statistical probability audits of the N=5, 6, 7 sequence. Correspondence should be addressed to Paul Hallelujah ([e-mail]).