What question did this study set out to answer?

The aim is to understand the relationship between planetary bodies and their geometric positions in the solar system.

February 10, 2026Open Access

The Bode Filter: Logical Indexing and the Mass-Threshold Criterion

Key Points

The aim is to understand the relationship between planetary bodies and their geometric positions in the solar system.
Introduces the Solar Orbital Registry hypothesis
Analyzes statistical correlations between planetary positions and atmospheric geometry
Proposes a mass threshold filter to distinguish significant bodies from sub-planetary noise
Develops a logical indexing model to categorize celestial bodies
Identifies a statistical correlation (P < 0.0002) between orbital integers and atmospheric geometries
Establishes that the system can skip nodes due to natural accretion failures
Demonstrates how Gas Giants filter harmonics, affecting their positioning
Confirms the total count of logical bodies in the solar system to be 8 through geometrical observations

Abstract

Title The Bode Filter: Logical Indexing and the Mass-Threshold Criterion Resource Type Preprint / Working Paper Creators Hallelujah, Paul Description Abstract The Solar Orbital Registry (SOR) hypothesis identifies a statistically significant correlation (P M₂ₔₓ₎₅₅). The natural accretion failure at 2. 8 AU allows the system to "skip" the 5th physical node. The Tuned Receiver Hypothesis: The metallic hydrogen cores of the Gas Giants act as band-pass filters. Jupiter (I₏₇ₘₒ=6) ignores the harmonic of its physical location and locks onto the harmonic of its logical assignment (I₋₎₆=5). The Octal Checksum: The observation of an Octagon (N=8) at Jupiter's North Pole serves as a "System Header, " confirming a total count of 8 logical bodies, effectively validating the exclusion of the Asteroid Belt and Pluto from the registry. This paper suggests that the Solar System functions not merely as a gravity well, but as a calibrated logical directory, distinguishing between Matter (the Belt) and Worlds (the Index). Keywords Solar Orbital Registry, Titius-Bode Law, Magnetohydrodynamics, Technosignatures, SETI, Planetary Atmospheres, Jupiter, Saturn, Uranus, Geometric Cosmology, The Primer

The Bode Filter: Logical Indexing and the Mass-Threshold Criterion

Key Points

Abstract

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