The Rotor Dynamics Framework models the vacuum as a four-dimensional rotor manifold governed by the nonlinear Rotor Field Equation. Within this curvature field, protons and neutrons appear as stable soliton solutions whose interactions generate atomic nuclei as multi-rotor configurations. In this paper the structure of the nuclear mass formula is derived from the curvature energetics of interacting nucleon solitons. By analyzing the curvature energy functional of the rotor field, we show that the principal components of the semi-empirical mass formula—volume, surface, Coulomb, and asymmetry terms—arise naturally from geometric properties of the multi-rotor curvature network. The volume term reflects interior curvature sharing among nucleon solitons, the surface term results from incomplete curvature domains at the nuclear boundary, the Coulomb term originates from long-range rotor charge interactions between protons, and the asymmetry term emerges from curvature imbalance between proton and neutron populations. This derivation provides a geometric interpretation of nuclear binding energies and connects the empirical nuclear mass formula to the underlying dynamics of the rotor curvature field.
Stephen Euin Cobb (Mon,) studied this question.