The Universal Nucleation–Kramers Meta-Theorem: One Cubic-Well Object Unifying Grokking, Stewardship, and Afforestation Nucleation

Machine-verified Lean 4 meta-theorem (specification + proof object). The Universal Nucleation–Kramers Meta-Theorem (UNMT) unifies the nucleation–Kramers family of Viridis canon results — grokking-as-nucleation, stewardship nucleation, and afforestation nucleation — into a single cubic-well Classical-Nucleation-Theory object Ψ(x)=σ·x^(2/3)−Δ·x. From this one object it derives a substrate-independent critical (barrier-top) order parameter x⋆=(2σ/3Δ)³, a universal barrier height ΔΨ‡=(4/27)·σ³/Δ², the Kramers escape/nucleation-time law with its monotonicities, and an information-thermodynamic (Landauer / Intelligence-Bound) floor on completion time. The three domain theorems are then one theorem read in different substrates. This version (1.0.0) deposits the clean core (8 machine-verified theorems) together with the full specification (statement, substrate table, and falsifiable predictions). The Forcing–Neglect non-monotone optimum is deliberately deferred (it requires a basin-dissolution τ(T) model). Derived from the Viridis Intelligence-Bound canon, concept DOI 10.5281/zenodo.19317982.