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 Working record; paper pending; not peer-reviewed.

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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
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preprint

The Wu-Wei Corridor Dominance Theorem: Multiprojection Fixed-Point Convergence into Corridor Constraints

Justin Hart, Aristotle (Harmonic)
Zenodo (CERN European Organization for Nuclear Research)
Complexity and Algorithms in Graphs
preprint

The Wu-Wei Corridor Dominance Theorem: Multiprojection Fixed-Point Convergence into Corridor Constraints

Justin Hart, Aristotle (Harmonic)
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
University of Providence (US), Laboratoire Spécification et Vérification (FR)
Sustainable cities and communities
Complexity and Algorithms in Graphs
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