omega-library

Ω Claim Boundary

This document fixes the operational claim boundary for the Ω framework and Execution Hub. It is not a theory paper. It is a stable reference for how results should be interpreted.

What Ω currently evaluates

Ω currently evaluates whether independently defined events or states are structurally concentrated in high-Ω regimes under fixed definitions.

It supports reproducible comparison of:

What Ω does NOT claim

Ω does not claim:

These boundaries apply even when a result shows strong concentration.

Fixed ex-ante definitions

Definitions should be fixed before interpreting results.

At minimum, this includes:

Post-hoc tuning should not be presented as a fixed Ω result.

Independent event definitions

Event definitions should be independent from Ω.

The event or collapse label should not be defined by the same Ω value that is later used to evaluate concentration.

This prevents circular interpretation.

Structural concentration only

Ω reports structural concentration.

It does not by itself explain mechanism, establish cause, select an optimal policy, or determine future events.

Null results are valid

Null, weak, or near-baseline results are valid outcomes.

A null result means the declared event did not concentrate in high-Ω states under the fixed definitions used in that run.

Null results should be reported when they are reproducible and clearly specified.

Reproducibility-first orientation

The Execution Hub is organized for reproducible execution, navigation, and result reporting.

Canonical public records remain on Zenodo where applicable. GitHub Pages and linked notebooks support execution, templates, issue reporting, and navigation.