Abstract
We construct and test a candidate-level covariant effective field theory in which the defining algebraic condition motivated by the hidden Fock symmetry of the bound Coulomb problem selects a topological dark-matter sector, while a resolved matter-overlap mediator activates a positive metastable dark-energy branch. The order parameter is a real antisymmetric internal SO(4) tensor Mab. Its Pfaffian condition C2=PfM=0 selects the decomposable fixed-radius locus, changing the vacuum manifold from S5 to S2 × S2 and thereby producing π3=Z⊕Z. The same transition is dynamically linked, through the mediator χ, to activation of the metastable scalar branch. We supplement this algebraic construction with a topology-preserving three-dimensional stationary calculation of the (N+,N−)=(1,0) Hopf sector, a tangent- and charge-projected fluctuation analysis with no resolved negative physical mode in the tested sector, and a homogeneous trigger evolution that generates the overlap dynamically and crosses the mediator and scalar thresholds while remaining inside the stated local principal-stability window. The positive scalar branch has a calculable barrier, curvature mass, and semiclassical decay scaling. An illustrative reduced Newtonian-gauge closure for a dilute Hopfion population further exhibits a stable weak-coupling regime with sub-percent linear-growth deformations relative to its uncoupled reference; this is a candidate-level consistency check, not an observational fit. These results support a topological dark-matter candidate and an overlap-mediated metastable dark-energy candidate within the stated EFT. Relic production and abundance, unrestricted finite-stiffness and scattering dynamics, production-derived fluid coefficients, radiative naturalness, Boltzmann-complete evolution, and likelihood-level cosmological viability remain open.