Formal Emergence of Self in ∂-Conflict Systems
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2025
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| author | Ednyashev, Sanal |
| author_facet | Ednyashev, Sanal |
| contents | <p>This document provides a mathematically formal specification of the emergence and dissolution of self ("I") within systems governed by structural divergence between internal state and expression.</p> <p> </p> <p>The model defines the self as a construct arising from:</p> <p>1. Persistent irreducible divergence (∂σ ≠ 0),</p> <p>2. Memory of such divergence over time (R ≠ ∅),</p> <p>3. Discrete events of structural meaning (ΔS > ε),</p> <p>4. Influence of memory on future divergence (φ: R → ∂σ).</p> <p> </p> <p>Axioms, definitions, and theorems are stated in formal symbolic logic, without philosophical or metaphorical language. The self is treated as a dynamic ∂-entity, independent of semantics or identity, emerging from processual conflict.</p> <p> </p> <p>The framework applies to any time-indexed expressive system and is intended for theoretical work in AI subjectivity modeling, structural ontology, and non-symbolic computation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15598638 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Formal Emergence of Self in ∂-Conflict Systems Ednyashev, Sanal <p>This document provides a mathematically formal specification of the emergence and dissolution of self ("I") within systems governed by structural divergence between internal state and expression.</p> <p> </p> <p>The model defines the self as a construct arising from:</p> <p>1. Persistent irreducible divergence (∂σ ≠ 0),</p> <p>2. Memory of such divergence over time (R ≠ ∅),</p> <p>3. Discrete events of structural meaning (ΔS > ε),</p> <p>4. Influence of memory on future divergence (φ: R → ∂σ).</p> <p> </p> <p>Axioms, definitions, and theorems are stated in formal symbolic logic, without philosophical or metaphorical language. The self is treated as a dynamic ∂-entity, independent of semantics or identity, emerging from processual conflict.</p> <p> </p> <p>The framework applies to any time-indexed expressive system and is intended for theoretical work in AI subjectivity modeling, structural ontology, and non-symbolic computation.</p> |
| title | Formal Emergence of Self in ∂-Conflict Systems |
| url | https://doi.org/10.5281/zenodo.15598638 |