The Wu-Wei Corridor Dominance Theorem: Multiprojection Fixed-Point Convergence into Corridor Constraints
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 Working record; paper pending; not peer-reviewed.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
- Justin Hart (ORCID: https://orcid.org/0009-0008-3082-2482)
- Aristotle (Harmonic)
Institutions
- University of Providence (US)
- Laboratoire Spécification et Vérification (FR)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-06-28
- DOI
- https://doi.org/10.5281/zenodo.20982970
- Primary Topic
- Complexity and Algorithms in Graphs
- Type
- preprint