Scientific Note: Mathematical Foundations of the K7 Universal Theory

Principal Investigator: Gautam Pal ORCID iD: 0009-0004-3456-9972 1. THE FUNDAMENTAL CONSTANT (k) The backbone of this theory is the planetary constant derived from the orbital distance of Mercury (Dm). Formula: k = Dm / 7 Constant Value: 1k ≈ 0.0553 AU 2. ORBITAL MAPPING (D = n × k) Using the harmonic integer (n), the orbital distances (D) of the planets are mapped as follows: Mercury: n = 7 (0.387 AU) Venus: n = 13 (0.719 AU) Earth: n = 18 (0.995 AU) Mars: n = 28 (1.548 AU) Jupiter: n = 94 (5.198 AU) Saturn: n = 173 (9.567 AU) Uranus: n = 347 (19.189 AU) Neptune: n = 544 (30.083 AU) Pluto: n = 714 (39.484 AU) 3. RESEARCH SUMMARY The K7 Theory predicts a 14-planet resonance structure in our solar system. The 'Great Jumps' between planetary groups (e.g., from Mars to Jupiter) follow specific harmonic integers (n), suggesting a unified orbital architecture governed by the Rule of Seven.

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