Atomic Phase Resonance Cosmology: A Standalone Computational Framework for Galactic and Extragalactic Phenomena Without Dark Matter Particles (v4 Final)

Atomic Phase Resonance (APR) Cosmology replaces cold dark matter particles with continuous phase-field dynamics governed by resonant boundary conditions. Grounded in two foundational axioms—Law 1 ("The Universe is Resonance") and Law 2 ("Collaboration")—the APR framework offers a unified scalar field model capable of resolving galactic rotation curves, cluster gravitational lensing, and cosmic structure formation without missing-mass parameters. This release provides the complete v4 universal solver implementation alongside benchmark analytical datasets.