The Wu-Wei Corridor Dominance Theorem: Multiprojection Fixed-Point Convergence into Corridor Constraints
Year: 2026
Type: preprint
Abstract: Staged thematic record of the Viridis Canon (route: S5 (Corridors)). The Intelligence-Bound spine is unchanged (frozen at v10.0.0, record 20801185); this record links to it via isDerivedFrom the concept DOI 10.5281/zenodo.19317982. The constructive companion to the HDFM corridor pillar (P2). A contraction T has a unique fixed point; Picard iterates T^[n]x₀ converge to it from any start; and if T maps into the intersection of corridor constraints Cᵢ the fixed point lies in every constraint — corridor multiprojection feasibility by construction. Non-vacuous (the contraction hypothesis is inhabited). The 4 core theorems are machine-checked in Lean 4 (Aristotle, zero sorry, axioms ⊆ {propext, Classical.choice, Quot.sound}, statements verbatim and non-vacuous). Scope: the Lean proofs certify the validity of the discrete reasoning, not empirical magnitudes. Working record; paper pending; not peer-reviewed.
Authors: Hart, Justin D., Aristotle (Harmonic)
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166440197