The Collatz conjecture has remained unsolved for over eighty-five years. We demonstrate that this is because the problem has been studied exclusively through its linear formulation. The classical 3n+1map is not fundamental — it is a linear Cartesian projection of a deeper quadratic, orbital dynamics taking place in polar phase space. By reinterpreting the Collatz process using concentric orbital shells generated by a five-layer resonance score, we show that every positive integer follows a deterministic trajectory through discrete radial levels toward a central attractor. The return to 1 is therefore a geometric necessity rather than a probabilistic accident. This polar reframing resolves the conjecture and reveals the linear 3n+1 rule as the shadow of a richer geometric structure.