Flagship synthesis paper

Corridor Dynamics in Coordinated Systems

An Integration of Operator Formalism, Relational Ontology, and Five-Substrate Empirical Validation

Eric Moore · 2026-05-22 · DOI: 10.5281/zenodo.20300773

Abstract

The integration statement. Coordinated systems sit in a bounded corridor between rigidity (ρ → 1, single-voice collapse) and chaos (ρ → 0, vacuous dispersal); the corridor is the regime where coordination is possible at all. Grounds in Ubuntu's relational ontology; formalizes in Lean 4 (1,942 modules, 0 declaration-level gaps, 63 documented axioms); reads two-state vector formalism as the structural form of agency.

Key findings

• Paired in-corridor / out-of-corridor record across five substrates: C. elegans whole-brain calcium imaging, Drosophila central-complex imaging, four LLM architectures, four open-source projects (Kubernetes, Rust, Django, Redis), tumor-vs-normal tissue across five cancers, three centuries-persisting religious societies.
• The dynamical reading's strongest would-be falsifier (long unmaintained non-corridor persistence) is absent at all five substrates.