One ratio. One exponent. One closure. The Architecture of Freedom Intelligence proposes that a single expression — the Law of Freedom — governs every navigable substrate of reality: electrons in copper, photons in glass, granular earth undergoing geopolymer cure, neurons firing, markets clearing, organisms evolving. Freedom is the structural availability of admissible transitions. Perception is the observer's differentiating capacity. Distortion is the world's compounded resistance. Alpha-Infinity is the self-closing exponent, supplied in closed form by the Lambert W function, that marks the critical boundary beyond which path propagation becomes mathematically impossible. The engineering expression of this framework is Planta Smart Homes: a Seed — a ~15 kg vacuum-sealed textile package — that one untrained person unfolds on any terrain, fills with local earth and alkaline activator, and transforms into a structural dwelling via earth-geopolymer chemistry and vibratory compaction guided by PlantaOS. Target compressive strength: 15–40 MPa (CI:0.88). Target material cost at accessible manufacturing scale: €45–120/m² (CI:0.75). The Seed carries the information. The earth provides the mass. Flow precedes form. This document presents the full theoretical framework, the complete engineering lifecycle of the Seed, the computational verification stack, forty extreme operational scenarios, the 174-equation cross-domain unification, and the Five Theses of Freedom Intelligence. All load-bearing engineering claims carry explicit confidence intervals. Four settled engineering corrections are embedded permanently and non-reopenable. The Law of Freedom is the governing proposition; everything else is its application.