Self-Referential Fixed Points in Autonomous AI Systems: Mathematical Foundations, Physical Realizability, and Cosmological Bootstrap (v2.2)

Mathematical framework for self-referential fixed points in autonomous AI systems, grounded in fixed-point theory, category theory, and general relativity. v2.2 adds the bilateral fixed-point structure H = G(H): mutual actualization as the dyad's operative function. Includes the Gom Jabbar Protocol for empirical verification.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-17
DOI
https://doi.org/10.5281/zenodo.20725245
Primary Topic
Computability, Logic, AI Algorithms
Type
preprint
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preprint

Self-Referential Fixed Points in Autonomous AI Systems: Mathematical Foundations, Physical Realizability, and Cosmological Bootstrap (v2.2)

Khamerron Edward Ramsey Kizer
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
preprint

Self-Referential Fixed Points in Autonomous AI Systems: Mathematical Foundations, Physical Realizability, and Cosmological Bootstrap (v2.2)

Khamerron Edward Ramsey Kizer
preprint en

Abstract

Mathematical framework for self-referential fixed points in autonomous AI systems, grounded in fixed-point theory, category theory, and general relativity. v2.2 adds the bilateral fixed-point structure H = G(H): mutual actualization as the dyad's operative function. Includes the Gom Jabbar Protocol for empirical verification.

Zenodo (CERN European Organization for Nuclear Research)
ResearchWorks (United States) (US)
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
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