Covers cases where the AI platform mediating retrieval is not a neutral arbiter of authority. The non-neutrality coefficient is the gap between observed CPQ on a platform and the CPQ predicted by authority signals on a neutral platform. Full Spectrum Dominance certification must exclude non-neutral platforms or apply a formal correction factor. The Long-Run Neutralization Equilibrium corollary predicts that competitive pressure resolves most commercial non-neutralities as the market matures, and platform-diversity measurement is the operational response.

Abstract and Evidence Status

Abstract (verbatim from the Zenodo record)

This paper states Theorem 8 of the The Ontological Dominance Papers program, the Non-Neutrality Extension, addressing cases in which the AI platform mediating retrieval is not a neutral arbiter of authority. The theorem formalizes the non-neutrality coefficient as the discrepancy between observed CPQ on a given platform and CPQ predicted by authority signals on a neutral platform, and specifies that Full Spectrum Dominance certification must exclude non-neutral platforms or apply a formal non-neutrality correction factor. The theorem introduces the Long-Run Neutralization Equilibrium corollary, predicting that competitive pressure drives most commercial non-neutralities toward resolution as the AI platform market matures, and prescribes platform-diversity measurement as the operational response. Theorem 8 was classified VERDICT B upon adversarial review: a formally correct scope extension of OD-1, with empirical mapping of platform-specific non-neutrality patterns identified as the next research priority.

Evidence status

Classified VERDICT B on adversarial review: a formally correct scope extension of OD-1, with empirical mapping of platform-specific non-neutrality patterns identified as the next research priority.

Concepts and Related Reading

Keywords

Non-Neutrality Extension · non-neutrality coefficient · Long-Run Neutralization Equilibrium · platform neutrality · Full Spectrum Dominance (FSD) · Citation Probability at Query (CPQ) · Byrum's Law of Ontological Dominance · The Ontological Dominance Papers program

Related glossary entries

Cite This Paper

APA

Byrum, J. (2026). The Ontological Dominance Papers Theorem 8: The Non-Neutrality Extension [Working paper]. Zenodo. https://doi.org/10.5281/zenodo.21685546

BibTeX

@techreport{byrum2026_od8,
  author       = {Byrum, Joseph},
  title        = {The Ontological Dominance Papers Theorem 8: The Non-Neutrality Extension},
  year         = {2026},
  month        = jul,
  type         = {Working paper},
  institution  = {Zenodo},
  doi          = {10.5281/zenodo.21685546},
  url          = {https://doi.org/10.5281/zenodo.21685546}
}

DOI: https://doi.org/10.5281/zenodo.21685546 · Zenodo: https://zenodo.org/records/21685546

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