Twin-Complex Cosmology:Episode VII — Internal Dynamics

This episode develops the internal dynamical equations of the twin-complexcosmological framework. The twin-complex scale factor$A(t) = (a(t), b(t))$ evolves under coupled equations that generalize thestandard Friedmann dynamics while preserving the projection structure$a_{\mathrm{obs}} = a + b$. The internal expansion rates $(H_a, H_b)$govern the observable quantities only through their projection, yet theinternal system possesses its own autonomous dynamics. This episodeformulates those dynamics, analyzes their qualitative behavior, andclarifies how internal evolution constrains the observable universe.