What question did this study set out to answer?

This research aims to establish the convergence of fixed points within corridor constraints using multiprojection techniques.

June 30, 2026Open Access

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

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This research aims to establish the convergence of fixed points within corridor constraints using multiprojection techniques.
Employs contraction mapping to demonstrate unique fixed point convergence from any initial value.
Validates four core theorems using Lean 4, certified through machine checking.
Illustrates the implications of corridor constraints on fixed points and their feasibility.
Establishes that unique fixed points exist within the intersection of corridor constraints.
Demonstrates convergence of Picard iterations to the fixed point from any starting point.
Confirms the non-vacuity of the contraction hypothesis through verified machine-checked proofs.

Implication

Randomized trial demonstrates fixed-point feasibility in corridor constraints, indicating theorem validity.

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 Working record; paper pending; not peer-reviewed.

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Cite This Study

Hart et al. (2026) studied this question.

synapsesocial.com/papers/6a435c65759b888809a52ce4 https://doi.org/10.5281/zenodo.20982970

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Implication

Randomized trial demonstrates fixed-point feasibility in corridor constraints, indicating theorem validity.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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