Scale-Dependent Geometric Field Theory: A Unified Framework from Pure Geometry

We present the Scale-Dependent Geometric Field Theory (SDGFT), deriving fundamental physics from 4-dimensional topology rather than postulating axioms. All parameters emerge from the 24-cell polytope (4D kissing number = 24) and Hopf fibration: the elementary lattice tension δ =1/24 from the kissing number, amplified by pentagonal/cubic conflict to total gap ∆ = 5δ = 5/24, yielding gravitational constant G = 32∆ = 20/3 (0.11% accuracy), the 30° cone angle from both electroweak measurements and 4D geometry (dual derivation), and three charged fermion generations as Fibonacci resonances (ϕ0, ϕ1, ϕ2) with R2 = 0.9999 fit quality. We derive α−1 ≈ 137 (0.3%), the Koide formula (99.996%), dark matter/energy (25%/75%), and resolve 93% of the vacuum catastrophe through holographic projection. A testable prediction: βiso = 1/36 ≈ 0.028 ± 0.008 for CMB-S4 in 2035. The framework uses 3-4 phenomenological parameters compared to 19+in SM+ΛCDM.