RESEARCH COMPONENT

ONAR9

ONAR (Oriented Number Arithmetic Relations) — ONAR9 mathematical relations & bounded formal results

What it is

ONAR9 examines mathematical descriptions of relational geometry, ordering, histories, and constraints. Its formal statements must specify the model and assumptions under which they hold.

Model-scoped formal verification can establish a theorem about a mathematical construction; it does not automatically establish a physical law, measured phenomenon, or general computational principle.

Verification obligations

Mathematical definitions, hypothesis boundaries and exact assumptions.
Lean-checkable propositions, build versions and dependency provenance when approved for release.
Counterexamples and cases where identification is impossible.

Current public evidence

The public claim registry includes an author-reported static coordinate result under GOLGE-GEOM-2026-001. The underlying Lean bundle is not published here. An independent observer should report it as not yet independently checked using published source. The separate BS-MIN-01 worked example is available as an introductory demonstration, not an ONAR9 formal release.

Independent observer route

Start with claims.json, read the observer protocol, and check evidence availability before stating a verification result.