The Ecopoietic Threshold Theorem: Terraforming as a Driven Nonequilibrium Phase Transition

Series S3 (Gaian) of the Viridis Canon — standalone record; the core IB canon spine is unchanged. Proves the Ecopoietic Threshold Theorem (ETT): terraforming/ecopoiesis is a driven nonequilibrium phase transition. There is a dissipation floor below which ignition is impossible regardless of time or intelligence; drive and control-information are Landauer-priced substitutes on a convex frontier; permanence is a barrier height (Kramers), not a biomass stock; and ignition time diverges with an exact -1/2 critical exponent near threshold. Names the Gardener (13th Intelligence-Bound self-application). Scope. Lean 4 (Aristotle-verified, zero sorry) certifies the analytic results, not empirical magnitudes. Working paper; not peer-reviewed.