Modifications of Newton’s Law in the Eternal Brane Framework: Scale-Dependent Gravitation and Compact Ephemerides

In this work we extend the reflective brane cosmology framework by modeling celestial bodies such as the Sun, Moon, planets, and stars as S2 branes with reflective properties. The Sun is reinterpreted as a hollow spherical mirror brane enclosing a cold vacuum core, while planetary and lunar bodies are treated as branes with effective surface mass density μ = 1 in natural units. This approach yields a Neo-Copernican ephemeris where orbital periods and distances follow from observational inputs combined with brane-based dynamics. We further show that the cosmic microwave background can be consistently understood as reflection from a cosmological-scale S2 brane corresponding to the sphere of last scattering. The associated temperature, anisotropies, and acoustic peaks emerge naturally as vibrational modes of this boundary brane. By linking astrophysical observations with brane dynamics and modified gravitational laws, the model provides an integrated perspective that unifies stellar structure, planetary motion, and cosmological boundaries, while also connecting to metaphysical extensions beyond the sphere of last scattering. This establishes a bridge between empirical astronomy and higherdimensional brane cosmology.