In a companion paper, we demonstrated that the spin‑1/2 singlet state and its Bell correlations can be derived from a global topological constraint on a smooth SU (2) field. Here we supply the underlying dynamical framework. We introduce a Skyrme‑type Lagrangian that supports localised topological solitons with winding number 1, and we show that quantisation of the soliton's rotational collective coordinates yields spin‑1/2 particles. The global topological invariant forces pairs created from the vacuum to carry opposite winding numbers, leading uniquely to the singlet state when rotational invariance is imposed. Going beyond the purely kinematic description, we analyse the short‑distance behaviour of two overlapping solitons. Using the product ansatz and a perturbative treatment of the soliton interaction energy, we derive distance‑dependent corrections to the singlet correlation. When theinter‑defect axis is uncontrolled, the leading correction scales as (R/d) ⁶; when theaxis is fixed, a larger (R/d) ³ term appears with a specific angular dependence. These predictions distinguish the topological model from ordinary quantum mechanics, where the singlet correlations are strictly independent of distance. The correction can be tested in nucleon–nucleon scattering or in condensed‑matter systems where magnetic skyrmions act as spin‑1/2 defects, and it remains falsifiable in principle for elementary particles at future experimental sensitivities. We also discuss the topological origin of the monogamy of entanglement and the possible existence of higher‑charge defects that would permit polygamous entanglement. The framework provides a falsifiable, dynamical field‑theoretic foundation for quantum entanglement.
A.B.M MASUM BILLAH MIM (Wed,) studied this question.