Supplement to Screening Chaos Converted χ: Strategic Advantage Through Chaos-to-Probability Transformation

This supplement extends the Screening Chaos framework (v0.1) by introducing a third regime of the chaos residual χ: Converted χ, defined as chaos that has been systematically captured, transformed, and incorporated into the model-expressive event space ℰ through novel formalisms. The supplement formalises the notion of χ ⇒ P conversion as a qualitative strategic advantage: agents capable of converting previously inexpressible events into probabilistically tractable structure operate in a wider modelable world than those who cannot. It distinguishes Converted χ from ordinary model expansion by emphasising structural inexpressibility under the prior model, and proposes an open research programme toward boundary-operating “chaotic equations” that would generate candidate model extensions from boundary signatures alone. The document is aligned with Screening Chaos v0.1 and relates to the broader IEH/PNP framework. It is released as a supplement and should be read as a concept note introducing a research direction rather than a closed mathematical theory. Suggested metadata lines (optional, at the end of Description): Related work: Screening Chaos: Impact Assessment of the Chaos Function χ and Its Link to the Non-Repeating Past Paradigm (PNP) (v0.1). DOI: https://doi.org/10.5281/zenodo.17650719 (License: CC BY-NC-ND 4.0)