Coherence Structures and Emergent Attractors: A Formal Framework for Agent-Relative Value Theory with Applications to Process Ontologies
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866901861613699072 |
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| author | Leonhardt, Mathias |
| author_facet | Leonhardt, Mathias |
| contents | <p class="p1"><span class="s1">We introduce a formal framework in which an agent's value system is modelled as a coherence structure over a finite set of propositions. Coherence maximization </span><span class="s1">is shown to be NP-hard (by reduction from MAX-SAT), providing a complexity-theoretic foundation for why stable worldviews are difficult to construct yet robust </span><span class="s1">once attained. Using Lyapunov stability analysis and replicator dynamics, we prove that maximally coherent configurations act as emergent attractors in </span><span>belief-revision dynamics. The framework is applied to process ontologies (Whitehead, Spinoza) and agent-relative value theory, bridging formal epistemology, </span><span>computational complexity, and philosophy of religion.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19589935 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Coherence Structures and Emergent Attractors: A Formal Framework for Agent-Relative Value Theory with Applications to Process Ontologies Leonhardt, Mathias coherence theory NP-hardness Lyapunov stability process ontology emergent attractors Whitehead value theory philosophy of religion formal epistemology replicator dynamics <p class="p1"><span class="s1">We introduce a formal framework in which an agent's value system is modelled as a coherence structure over a finite set of propositions. Coherence maximization </span><span class="s1">is shown to be NP-hard (by reduction from MAX-SAT), providing a complexity-theoretic foundation for why stable worldviews are difficult to construct yet robust </span><span class="s1">once attained. Using Lyapunov stability analysis and replicator dynamics, we prove that maximally coherent configurations act as emergent attractors in </span><span>belief-revision dynamics. The framework is applied to process ontologies (Whitehead, Spinoza) and agent-relative value theory, bridging formal epistemology, </span><span>computational complexity, and philosophy of religion.</span></p> |
| title | Coherence Structures and Emergent Attractors: A Formal Framework for Agent-Relative Value Theory with Applications to Process Ontologies |
| topic | coherence theory NP-hardness Lyapunov stability process ontology emergent attractors Whitehead value theory philosophy of religion formal epistemology replicator dynamics |
| url | https://doi.org/10.5281/zenodo.19589935 |