Absence of Magnetic Monopoles as a Structural Constraint in Temporal Rate Ontology

Magnetic monopoles are theoretically permitted within classical and quantum field frameworks, yet remain empirically unobserved. We propose a structural explanation within Temporal Rate Ontology (TRO), in which physical realizability is determined not by kinematic admissibility of field equations alone, but by the existence of globally consistent, acyclic continuation structures that can be assembled through local admissible extensions. We treat both the Dirac monopole (singular, string construction) and the 't Hooft-Polyakov monopole (non-singular, arising via spontaneous symmetry breaking). We show that Dirac monopole configurations require a non-local boundary condition propagating along the Dirac string that cannot be generated by any sequence of local DAG extensions, and that 't Hooft-Polyakov monopoles require the assembly of a non-trivial element of the second homotopy group of the vacuum manifold, which is likewise blocked by local admissibility constraints. The Principle of Maximal Freedom provides an independent suppression argument. We distinguish fundamental monopoles, which are structurally excluded, from emergent monopole-like quasiparticles and admissible topological defects such as vortices, which arise from locally constructible winding of an order parameter rather than from a localized source of magnetic flux. Falsifiable predictions follow directly.