The Solution to the Is-Ought Problem: Ontology of General Persistence with Dual-Operator Dynamics and a Global Budget Indexed p(Γ)-Laplacian Law for System Stability
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| Format: | Recurso digital |
| Language: | English |
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2025
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| _version_ | 1866901681847926784 |
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| author | Recurs, J. L. |
| author_facet | Recurs, J. L. |
| contents | <p>This manuscript proposes a solution to Hume’s is–ought problem by reframing it as a question about persistence. Instead of starting from moral intuitions or specific physical theories, it assumes only five ontological conditions: there are systems with internal representations, they receive feedback from an environment, they must remain within a viability set, they operate under finite resources, and their environment is non-stationary and partially beyond their control.</p> <p>From these assumptions, the paper derives a dual-operator dynamics: an <strong>Update</strong> role that revises internal representations in response to discrepancies, and an <strong>Optimize</strong> role that selects trajectories expected to minimise future discrepancy under resource constraints. At the field level, this recursion forces a structural correction term on top of any empirical Lagrangian, yielding a budget-indexed p(Γ)-Laplacian law of the form ℰ[u] + λ ∇·(|∇u|^{p(Γ)−2}∇u) = 0, where p(Γ) encodes a global finite budget. The accompanying addendum sketches toy 1D–3D “universes” to illustrate how varying the budget parameter drives behaviour from diffusion to filamentation and collapse.</p> <p>The text was originally drafted as a stand-alone chapter in a larger philosophical project and is presented here as a conceptual, domain-agnostic framework for system stability, rather than a completed empirical theory. It is intended primarily as a stake in the ground: a compact ontology of general persistence that can be tested, refined, or rejected by future work in philosophy, physics, and complexity science.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17971124 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Solution to the Is-Ought Problem: Ontology of General Persistence with Dual-Operator Dynamics and a Global Budget Indexed p(Γ)-Laplacian Law for System Stability Recurs, J. L. dual operator persistence system stability is-ought problem p-Laplacian finite resources global budget theoretical physics philosophy of science ontology PDEs Mathematical Physics <p>This manuscript proposes a solution to Hume’s is–ought problem by reframing it as a question about persistence. Instead of starting from moral intuitions or specific physical theories, it assumes only five ontological conditions: there are systems with internal representations, they receive feedback from an environment, they must remain within a viability set, they operate under finite resources, and their environment is non-stationary and partially beyond their control.</p> <p>From these assumptions, the paper derives a dual-operator dynamics: an <strong>Update</strong> role that revises internal representations in response to discrepancies, and an <strong>Optimize</strong> role that selects trajectories expected to minimise future discrepancy under resource constraints. At the field level, this recursion forces a structural correction term on top of any empirical Lagrangian, yielding a budget-indexed p(Γ)-Laplacian law of the form ℰ[u] + λ ∇·(|∇u|^{p(Γ)−2}∇u) = 0, where p(Γ) encodes a global finite budget. The accompanying addendum sketches toy 1D–3D “universes” to illustrate how varying the budget parameter drives behaviour from diffusion to filamentation and collapse.</p> <p>The text was originally drafted as a stand-alone chapter in a larger philosophical project and is presented here as a conceptual, domain-agnostic framework for system stability, rather than a completed empirical theory. It is intended primarily as a stake in the ground: a compact ontology of general persistence that can be tested, refined, or rejected by future work in philosophy, physics, and complexity science.</p> |
| title | The Solution to the Is-Ought Problem: Ontology of General Persistence with Dual-Operator Dynamics and a Global Budget Indexed p(Γ)-Laplacian Law for System Stability |
| topic | dual operator persistence system stability is-ought problem p-Laplacian finite resources global budget theoretical physics philosophy of science ontology PDEs Mathematical Physics |
| url | https://doi.org/10.5281/zenodo.17971124 |