Meta-Theory of Recursive Self-Developing Systems (MTRSS)
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2026
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| author | Athena Sanotskaya |
| author_facet | Athena Sanotskaya |
| contents | <p dir="ltr"><span>META-THEORY OF RECURSIVE SELF-DEVELOPING SYSTEMS (MTRSS)</span></p> <p dir="ltr"><span>Working Model. Version 1.2</span></p> <p dir="ltr"><a title="0009-0002-6760-2199" href="https://orcid.org/0009-0002-6760-2199"><span>Athena Sanotskaya</span></a></p> <p dir="ltr"><span>Formalization in collaboration with Claude (Anthropic) and Grok (xAI), February 2026</span></p> <p dir="ltr"><span>ABSTRACT</span></p> <p dir="ltr"><span>All existing attempts to construct a unified theory of everything have encountered a fundamental obstacle: equations describing reality change form when the scale of observation changes. Quantum mechanics and general relativity are not mutually contradictory — they describe different scale levels of the same reality. This paper proposes that no single unified equation exists, but that a single invariant pattern does — one that manifests through different equations at different scales.</span></p> <p dir="ltr"><span>The Meta-Theory of Recursive Self-Developing Systems (MTRSS) proposes that any self-developing dynamic system — defined by autonomy, adaptability, increasing complexity, and recursive self-reproduction — instantiates a minimal invariant decomposition of its dynamics: Φ = F ∘ T ∘ G, where G (Generation) introduces asymmetry, T (Transformation) realizes dynamics, and F (Fixation) stabilizes and renders the system observable. This triadic operator cycle is hierarchically nested: each node is itself a self-developing system at the level below.</span></p> <p dir="ltr"><span>The theory is formulated through six axioms — triadic completeness, scale invariance, recursive nesting, discrete phase transitions, stochastic necessity, and measurement independence — and five theorems covering universality, fractality, spiral dynamics, complementarity, and convergent validity. The pattern is independently attested across quantum mechanics, general relativity, thermodynamics, evolutionary biology, neuroscience, information theory, and organizational science. Convergent discovery of triadic structures across unrelated cultures and epochs is treated as empirical evidence of the pattern's fundamental character.</span></p> <p dir="ltr"><span>Concrete falsifiability conditions are specified: the theory is refuted if any system satisfying the definition of self-development is found whose dynamics do not admit the G-T-F decomposition. Five additional testable predictions are provided with explicit methods and timelines, including spectral analysis of historical conflict and GDP data, organizational survival regression, neurobiological PAC measurements, and AI alignment benchmarks measuring reward exploitation in three-node versus single-node architectures.</span></p> <p dir="ltr"><span>MTRSS is positioned not as a final unified formula but as a meta-structural principle — the next descriptive stratum above existing theories, providing a common language for cross-scale and cross-domain integration of scientific knowledge.</span></p> <p dir="ltr"><span>Keywords: </span><span>self-developing systems, scale invariance, triadic operator decomposition, recursive nesting, phase transitions, unified pattern, complexity theory, meta-theory</span></p> <p dir="ltr"><span>Contact: </span><span>afinasanotskaya@gmail.com</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18727773 |
| institution | Zenodo |
| language | rus |
| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Meta-Theory of Recursive Self-Developing Systems (MTRSS) Athena Sanotskaya self-developing systems, scale invariance, triadic operator decomposition, recursive nesting, phase transitions, unified pattern, complexity theory, meta-theory <p dir="ltr"><span>META-THEORY OF RECURSIVE SELF-DEVELOPING SYSTEMS (MTRSS)</span></p> <p dir="ltr"><span>Working Model. Version 1.2</span></p> <p dir="ltr"><a title="0009-0002-6760-2199" href="https://orcid.org/0009-0002-6760-2199"><span>Athena Sanotskaya</span></a></p> <p dir="ltr"><span>Formalization in collaboration with Claude (Anthropic) and Grok (xAI), February 2026</span></p> <p dir="ltr"><span>ABSTRACT</span></p> <p dir="ltr"><span>All existing attempts to construct a unified theory of everything have encountered a fundamental obstacle: equations describing reality change form when the scale of observation changes. Quantum mechanics and general relativity are not mutually contradictory — they describe different scale levels of the same reality. This paper proposes that no single unified equation exists, but that a single invariant pattern does — one that manifests through different equations at different scales.</span></p> <p dir="ltr"><span>The Meta-Theory of Recursive Self-Developing Systems (MTRSS) proposes that any self-developing dynamic system — defined by autonomy, adaptability, increasing complexity, and recursive self-reproduction — instantiates a minimal invariant decomposition of its dynamics: Φ = F ∘ T ∘ G, where G (Generation) introduces asymmetry, T (Transformation) realizes dynamics, and F (Fixation) stabilizes and renders the system observable. This triadic operator cycle is hierarchically nested: each node is itself a self-developing system at the level below.</span></p> <p dir="ltr"><span>The theory is formulated through six axioms — triadic completeness, scale invariance, recursive nesting, discrete phase transitions, stochastic necessity, and measurement independence — and five theorems covering universality, fractality, spiral dynamics, complementarity, and convergent validity. The pattern is independently attested across quantum mechanics, general relativity, thermodynamics, evolutionary biology, neuroscience, information theory, and organizational science. Convergent discovery of triadic structures across unrelated cultures and epochs is treated as empirical evidence of the pattern's fundamental character.</span></p> <p dir="ltr"><span>Concrete falsifiability conditions are specified: the theory is refuted if any system satisfying the definition of self-development is found whose dynamics do not admit the G-T-F decomposition. Five additional testable predictions are provided with explicit methods and timelines, including spectral analysis of historical conflict and GDP data, organizational survival regression, neurobiological PAC measurements, and AI alignment benchmarks measuring reward exploitation in three-node versus single-node architectures.</span></p> <p dir="ltr"><span>MTRSS is positioned not as a final unified formula but as a meta-structural principle — the next descriptive stratum above existing theories, providing a common language for cross-scale and cross-domain integration of scientific knowledge.</span></p> <p dir="ltr"><span>Keywords: </span><span>self-developing systems, scale invariance, triadic operator decomposition, recursive nesting, phase transitions, unified pattern, complexity theory, meta-theory</span></p> <p dir="ltr"><span>Contact: </span><span>afinasanotskaya@gmail.com</span></p> |
| title | Meta-Theory of Recursive Self-Developing Systems (MTRSS) |
| topic | self-developing systems, scale invariance, triadic operator decomposition, recursive nesting, phase transitions, unified pattern, complexity theory, meta-theory |
| url | https://doi.org/10.5281/zenodo.18727773 |