Within the Rotor Dynamics Framework, nucleons are modeled as soliton structures in a four-dimensional curvature field, and nuclear binding arises from their interactions. Previous work established an energy-based description of these systems but did not provide explicit dynamical force laws. In this paper, we derive effective forces and torques directly from the curvature energy functional, yielding a coupled translational–rotational description of nucleon interactions. The interaction is decomposed into contributions from long-range curvature overlap, nonlinear core coupling, orientation-dependent alignment, topological compatibility, neutron-mediated buffering, and electromagnetic repulsion. This structure produces noncentral, orientation-dependent forces and torque that govern nucleon dynamics. A reduced computational formulation is developed using positions in ℝ³ and orientations on S³, enabling efficient simulation of multi-nucleon systems. The resulting dynamics reproduce key properties of nuclear matter, including equilibrium spacing, constant density, and saturation, while identifying proton–neutron interactions as the dominant binding channel. The framework also predicts curvature defect formation in unstable configurations. These results enable construction of a dynamical Nuclear Rotor Atlas and establish a direct link between the Rotor Field Equation and computational nuclear modeling.
Stephen Euin Cobb (Sat,) studied this question.