Technical Note: Harmonic Phase Selection in Manifold 12 via Arcsine Transformation for Large-Scale Primality Searches

Traditional primality searches at scales exceeding 10300 suffer from the logarith-mic thinning of prime density, making the discovery of constellations (twins, triplets,quadruplets) computationally prohibitive. This note illustrates a heuristic methodbased on the Manifold 12 architecture, utilizing an Arcsine-Sine transformation asa non-linear phase pointer to isolate high-probability resonance zones, significantlyreducing the search space for Miller-Rabin (MR) verification.