Unified Geometric Field Theory (UGFT) derives spacetime, particles, forces, and quantum mechanics from a single geometric postulate: an incompressible complex vector field of fixed magnitude flowing perpendicularly through a 3‑dimensional membrane. The constraint forces the internal state space to be CP³, producing stable solitons (leptons and baryons), quantized charges, emergent SU(3)×SU(2)×U(1) gauge structure, the Schrödinger equation, and Einstein gravity. A single dimensionless constant, fixed by the Q‑ball solution, reproduces the fine‑structure constant, lepton mass ratios, strong coupling, W‑boson mass, nuclear binding, and black‑hole thermodynamics.