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| Format: | Recurso digital |
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| Publié: |
Zenodo
2025
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| Accès en ligne: | https://doi.org/10.5281/zenodo.16962581 |
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- <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>