Geometric Saturation Framework (GSF-1): A Zero-Free-Parameter Derivation of Cosmological and Quantum Observables from a Planck-Scale Phase Transition

The Geometric Saturation Framework (GSF-1) proposes that spacetime undergoes a second-order phase transition at Planck density, governed by the mathematics of the 3D XY universality class. The framework is derived from three measured inputs only — the Planck length, the speed of light, and the Hubble parameter — with no fitted parameters.From the saturation condition η = V/κM² = 1, where κ = l_p R_H²/M_p², the framework derives: three spatial dimensions and three particle generations as topological invariants of the phase boundary; the full Standard Model fermion content and gauge group structure; all three gauge couplings at M_Z; the baryon asymmetry η_b = 6.5×10⁻¹⁰ (within 8% of the observed value); the dark energy equation of state w₀ = −0.85, w_a = −0.142, with a specific non-CPL cusp at z_c = 0.296; and a geometric decoherence scaling prediction for qubit array architectures in which 2D surface-dominant arrays exhibit lower decoherence floors than 3D volumetric arrays at equivalent qubit density.All predictions carry specific numerical values. No prediction is fitted. Twenty-one published references are cited at the points where their results are directly invoked. Four open problems are identified with the calculations required to close them named explicitly. The document is designed for expert scrutiny.