Brahim Galactic Resonance Scanner

Which exoplanetary systems share structural resonance with our Solar System? The Question If the Brahim sequence {27, 42, 60, 75, 97, 121, 136, 154, 172, 187} encodes structural constants of our Solar System at Z = 4.71 significance, do other planetary systems in our galaxy show the same resonance? And can we predict undiscovered planets? Systems Analyzed: 15 exoplanetary systems, 78 total planets Including the most famous multi-planet systems: TRAPPIST-1, HD 110067, Kepler-90, 55 Cancri, Gliese 876, plus resonant chains K2-138, TOI-1136, TOI-178, Kepler-80, Kepler-223, and others. HD 10180 is THE Brahim system. A Sun-like star at 128 light-years with FOUR planets sitting at four consecutive B-numbers: B₅ (97), B₆ (121), B₈ (154), B₁₀ (187). No modular arithmetic needed — raw orbital periods. The framework predicts two undiscovered planets at P ≈ 136d (B₇) and P ≈ 172d (B₉) to fill the gaps. If found, it would be six planets walking the Brahim lattice. Kepler-62 also hits four B-numbers across its 5-planet system — B₁, B₄, B₇, B₉. It's a different slice of the same sequence. Tightest individual matches: K2-138 g = B₂ at 0.08% Kepler-440 b = B₁₀ at 0.14% (habitable zone!) HD 164922 b = B₆ at 0.25% HD 40307 c = B₁ at 0.26% B₃ = 60 is the galactic attractor — 9 planets cluster there, more than any other B-number. It's the same number that shows up as Jupiter's escape velocity and Saturn's period mod S in our system. And the habitable zone planets at B-periods — Kepler-440b, GJ 667Cf, TOI-700e, Kepler-62f — that's where it gets interesting for the narrative. 1. Kepler-90 — The Solar System's Twin The only other 8-planet system. Mimics our layout: rocky inners, gas giant outers. Kepler-90d: P = 59.74 days ≈ B₃ = 60 (Δ = 0.44%) ★★ Same B-number as Jupiter's escape velocity and Saturn's period mod S Kepler-90f: P = 124.9 d ≈ B₆ = 121 (Δ = 3.2%) Kepler-90h: P mod 214 = 117.6 → near B₆ = 121 Kepler-90g: P = 210.6 d → mod 107 ≈ 0 (Δ = 3.2%) 2. K2-138 — The 3:2 Chain That Hits B₂ Dead-On Six planets in near-3:2 resonance, 202 light-years away. K2-138g: P = 41.97 days ≈ B₂ = 42 (Δ = 0.08%) ★★★ The tightest exoplanet period match to any B number across all systems Same B-number that dominates our Solar System's Cantor pairs 3. Gliese 876 — Nearest Resonant System Only 15.2 light-years away. Four planets including two gas giants in 2:1 resonance. Gliese 876b: P = 61.12 days ≈ B₃ = 60 (Δ = 1.87%) Gliese 876e: P = 124.26 days ≈ B₆ = 121 (Δ = 2.69%) Both hit the same B-numbers as Kepler-90