Newton's Constant from Horizon-Selected Quantum Capacity and Electroweak Determinant Closure

<title>Abstract</title> <p>Why gravity is so weak relative to electroweak interactions remains unexplained, and Newton’s constant remains an independent normalization in most microscopic models. We introduce an explicit hybrid finite causal-cell model that links the Newton and Fermi constants through a horizon-selected quantum capacity. Eight body-centered-cubic routes and a recurrence coin define a gapped occupied history; four Gauss-invariant ports reconstruct a centered-Gram coframe; Cartan transport and a relational constraint complex leave two tensor helicities. The same occupied history yields a positive tensor response and an endpoint Julia entropy. Generalized horizon entropy selects the integer capacity K∗ = 362, with occupied rank D∗ = 107 232 946 821. Complete lower-branch occupation and the oriented three-slot coframe volume produce the exact reduction D∗−3 . The remaining normalization is specified by an electroweak determinant closure on the doubled six-component coframe shell: multiplicativity selects the determinant as the scalar transfer character, while least logarithmic history yields the twelfth root of REW = √2GFMW2 (1 −MW2 /MZ2 )/[πα(0)]. The resulting sum rule, Gpred = GFREW1/12 /(√2D3623 ), gives 6.67484(28) x 10−11 m3 kg−1 s−2 from current non-gravitational inputs, 1.72 combined standard deviations from the CODATA value. The relation joins horizon entropy, finite quantum geometry, and precision electroweak data in one quantitative test, with improved W-mass measurements, complete horizon-edge accounting, and coframe-shell isotropy providing independent experimental and structural checks.</p>