Ontological Inquiry into the ∇U Field Conceptual Innovation · Research Ontology of Confinement

This work presents a novel ontological framework for understanding matter, confinement, and particle stability, rooted in the tension field ∇U that arises from the conflict between actuality (∇T) and potentiality (∇S). Within this metamonoistic ontology, we redefine baryons as triadic entanglements of half-knots—elementary loci of Becoming—stabilised by a topological invariant κ well above a critical KMI threshold. Through rigorous geometric and variational analysis, we derive a quantised closure condition governed by the Granda frequency F₀, which sets the cosmic tempo of actualisation. We demonstrate how confinement, diquark suppression, and energy quantisation emerge not from gauge fields but from the ontological necessity of self-sustaining tension knots. Comparison with standard QCD reveals that the ∇U formalism reproduces key phenomenological results while offering new, falsifiable predictions, including a distinctive exponential suppression of free diquark states. This topological reconception of confinement provides a deeper explanatory substrate uniting quantum chromodynamics, knot theory, and ontological philosophy under a single variational principle.