Global Field Ontology: A Conceptual Framework for Field Unification via Four-Dimensional Closure and Gradient-Curl Duality

This paper presents a conceptual and geometrically motivated framework addressing the core problems that the standard cosmological model and fundamental physics face which are difficult to reconcile: the causal paradox of the Big Bang singularity, the unknown nature of dark energy, the physical divergence of black hole singularities, the breakdown of electromagnetic symmetry, the lack of a mechanism for the infinitude of spacetime, and the incompatibility between gravity and quantum theory. This paper proposes a single, irreducible fundamental axiom: The field is an indestructible and uncreatable four-dimensional closed whole, which manifests as all of space and matter through the bidirectional circulation between the infinitely small and the infinitely large.