Cosmology Through Constraint Geometry: A Zero-Parameter Derivation of Fundamental Constants from Topological First Principles

We present the cosmological application of the Constraint Geometry Framework (CGF), in which physical structure emerges from accumulated geometric constraint rather than eternal laws. The framework rests on four pillars: (1) Viscous Differentiation—Type II universes separate from parent black holes through geometric extrusion; (2) Master Equation—a single evolution equation governs constraint dynamics, producing all large-scale structure; (3) Kissing Number Topology—the n=13 threshold emerges from the geometric impossibility of fitting more than 12 equal spheres around a central sphere; (4) Resonance/Attractor Dynamics—continuous Kerr input is filtered into discrete quantum output via standing-wave selection, explaining how General Relativity produces Quantum Mechanics. The framework achieves zero free parameters. All physical constants derive from pure topology: the kissing number (n=12) generates icosahedral symmetry, which produces the n=13 materialization threshold and the ℓ=7 chiral breach. From these emerge: the hierarchy ratio v/M_Pl = (7π/2)e^(-13π) (0.41% accuracy), the fine structure constant α⁻¹ = 14π²(1-δ) (0.04% accuracy), dark energy Ω_Λ = 2/3 + 2δ (0.35% accuracy), and the Hubble tension resolution via quadrupole strain ε = 1/13. The framework distinguishes Type I universes (primordial, isotropic) from Type II (Kerr-born, anisotropic). Our universe is Type II, inheriting threshold hierarchy, helical structure, and torsion-driven expansion from its parent black hole. We reinterpret the dark sector: Dark Matter is sub-threshold constraint carving—uncollapsed creative potential that exhausts near baryonic matter. Dark Energy is parental torsion relaxation. The "missing 95%" is misattributed geometry. All matter is baryonic. The quantization mechanism is not metaphorical: discrete particles emerge from continuous spacetime exactly as Chladni patterns emerge from continuous bow strokes—through resonant mode selection on a topologically constrained manifold.