| _version_ | 1866902055879180288 |
|---|---|
| author | LE NEPVOU, Alexandre |
| author_facet | LE NEPVOU, Alexandre |
| contents | <p>This article proposes a non-metric account of causal structure grounded in the<br>functional variation of a generic field F(x). Departing from the standard reliance on<br>spatiotemporal metrics, we argue that directed change in such a field can serve as the<br>primitive basis for causal ordering, independently of geometric or chronological assumptions. We formalize this framework using differentiable domains and discrete graphs,<br>and show how it yields acyclic causal structures, local stabilization regimes, and emergent metric properties. The approach also suggests a novel form of modal logic based<br>on functional flow, where necessity and possibility depend on dynamic variation rather<br>than static accessibility. Finally, we examine the theoretical and empirical implications<br>of this model for quantum gravity, the direction of time, and the ontology of causal<br>relations. The resulting framework offers a conceptually parsimonious and structurally<br>robust alternative to metric-dependent views of temporal and causal organization.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16962581 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Functional Causation Beyond Spacetime: A Non-Metric Framework for Temporal Structure LE NEPVOU, Alexandre <p>This article proposes a non-metric account of causal structure grounded in the<br>functional variation of a generic field F(x). Departing from the standard reliance on<br>spatiotemporal metrics, we argue that directed change in such a field can serve as the<br>primitive basis for causal ordering, independently of geometric or chronological assumptions. We formalize this framework using differentiable domains and discrete graphs,<br>and show how it yields acyclic causal structures, local stabilization regimes, and emergent metric properties. The approach also suggests a novel form of modal logic based<br>on functional flow, where necessity and possibility depend on dynamic variation rather<br>than static accessibility. Finally, we examine the theoretical and empirical implications<br>of this model for quantum gravity, the direction of time, and the ontology of causal<br>relations. The resulting framework offers a conceptually parsimonious and structurally<br>robust alternative to metric-dependent views of temporal and causal organization.</p> |
| title | Functional Causation Beyond Spacetime: A Non-Metric Framework for Temporal Structure |
| url | https://doi.org/10.5281/zenodo.16962581 |