On the Ontological Interpretation of Emergent Equilibrium in Collapse-Driven Systems
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2025
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| _version_ | 1866901874730336256 |
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| author | Garner, Stephen |
| author_facet | Garner, Stephen |
| contents | <h3>Description</h3> <p>This paper offers an ontological interpretation of recent results showing the emergence of equilibrium-like behavior in collapse-driven and generative systems. Rather than treating equilibrium structures—such as effective potential functions or detailed balance relations—as generative principles, the paper situates them as post-collapse, descriptive orderings of constrained state spaces.</p> <p>The analysis distinguishes between admissibility constraints, which exclude incompatible trajectories prior to realization, and selection among admissible outcomes. From this perspective, equilibrium formalisms are understood as fixed-point descriptions that become valid after constraint satisfaction has acted, rather than as drivers of the underlying dynamics.</p> <p>The paper does not propose new dynamical equations or experimental predictions. Instead, it serves as a conceptual clarification aimed at explaining why equilibrium descriptions remain effective in fundamentally stochastic and non-equilibrium systems, and why recursion or self-referential behavior may arise when descriptive layers are treated as ontologically prior. The work is intended as an interpretive commentary that preserves the empirical validity of existing results while reducing conceptual ambiguity.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17960100 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | On the Ontological Interpretation of Emergent Equilibrium in Collapse-Driven Systems Garner, Stephen collapse-driven dynamics emergent equilibrium non-equilibrium ontological interpretations constraint satisfaction admissibility and selection foundations of physics equilibrium formalisms descriptive vs generative models recursion and self-reference effective potentials course-graining <h3>Description</h3> <p>This paper offers an ontological interpretation of recent results showing the emergence of equilibrium-like behavior in collapse-driven and generative systems. Rather than treating equilibrium structures—such as effective potential functions or detailed balance relations—as generative principles, the paper situates them as post-collapse, descriptive orderings of constrained state spaces.</p> <p>The analysis distinguishes between admissibility constraints, which exclude incompatible trajectories prior to realization, and selection among admissible outcomes. From this perspective, equilibrium formalisms are understood as fixed-point descriptions that become valid after constraint satisfaction has acted, rather than as drivers of the underlying dynamics.</p> <p>The paper does not propose new dynamical equations or experimental predictions. Instead, it serves as a conceptual clarification aimed at explaining why equilibrium descriptions remain effective in fundamentally stochastic and non-equilibrium systems, and why recursion or self-referential behavior may arise when descriptive layers are treated as ontologically prior. The work is intended as an interpretive commentary that preserves the empirical validity of existing results while reducing conceptual ambiguity.</p> |
| title | On the Ontological Interpretation of Emergent Equilibrium in Collapse-Driven Systems |
| topic | collapse-driven dynamics emergent equilibrium non-equilibrium ontological interpretations constraint satisfaction admissibility and selection foundations of physics equilibrium formalisms descriptive vs generative models recursion and self-reference effective potentials course-graining |
| url | https://doi.org/10.5281/zenodo.17960100 |