Stellar Necessity Recursion: Chandrasekhar Seeding, Seven-Stage Nuclear Burning, and the φ⁷ Chirp Mass (FCLT Paper 38)

Fibonacci Constraint Limit Theory (FCLT) presents the first mechanistic derivation connecting stellar nuclear burning physics to the φ⁷ chirp mass of GW150914. The Chandrasekhar mass (1.4162 M☉) is identified as the FCLT necessity floor S(0), emerging from two competing constraints — electron degeneracy pressure and gravitational collapse. Seven nuclear burning stages, terminating at iron core collapse when nuclear burning becomes energetically impossible, provide the natural recursion depth. F(8) × M_ch = 21 × 1.4162 = 29.74 M☉, within δ = 0.024 of φ⁷ = 29.034 M☉. A secondary result confirms φ-structured logarithmic spacing of burning stage ignition temperatures (6/7 stages δ < 0.05, Woosley & Weaver 1995). A critical cross-domain observation: He-4 binding energy = 28.3 MeV and GW150914 chirp mass = 28.3 M☉, both within δ ≈ 0.026 of φ⁷, connecting the nuclear output of stage 1 to the gravitational wave output of stage 7 through the same φ power. Honest gaps are named throughout. FCLT Paper 38.