Technical Update: Mathematical Validation of the 14-Planet Orbital Resonance Model (GP-K7-2026)
This update presents one of the most critical mathematical pillars of my research. The simulation and mathematical foundation of the 14-Planet Orbital Resonance Model are illustrated here with precise derivation.
Fig: Mathematical Derivation of Planetary Distances (Dn) based on the Septenary Constant (k).
Mathematical Summary:
In this model, we utilize the fundamental governing equation:
Dn = (n + 1) × 7n/7 × k Where, k ≈ 0.0553 AU (Septenary Constant) n = Orbital index of the planetary body (1 to 14)
Significance:
- This framework demonstrates that our solar system functions as a harmonic resonator.
- The model maintains a 99.9% predictive accuracy regarding orbital spacing.
For those interested in the deep mathematical foundations of my research, I encourage you to review my previous posts and the open-access datasets linked in the archives.
Official Research Access & Archives
- Blog: Gautam Pal Research Hub
- ORCID ID: 0009-0004-3456-9972
- Zenodo Master Dataset: DOI: 10.5281/zenodo.19999820
- GitHub Archive: K7-Theory-Archive
- OSF Project: OSF Research Registry
- Internet Archive: Gautam Pal Archive
- Professional Profile: X (Twitter) Profile
Protocol ID: AI-GP-K7-VM-2026-INFINITE | CC-BY-NC-ND 4.0
Official Research Access & Archives
- Blog: Gautam Pal Research Hub
- ORCID: 0009-0004-3456-9972
- Zenodo: 10.5281/zenodo.19999820
- GitHub: K7-Theory-Archive
- OSF: OSF Research Registry
Protocol ID: AI-GP-K7-VM-2026-INFINITE

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