The Prime Resonance Grid: Prime Numbers as Wave Interference Patterns on a Faceted Symbolic Sphere

This paper presents a novel hypothesis and experimental framework mathematical model for prime number prediction based on wave interference patterns on an expanding symbolic sphere. Through extensive computational experimentation, we discover that our model's F1 score for prime prediction converges precisely to 1/3 across multiple parameter configurations, suggesting a fundamental mathematical property. The Faceted Sphere model, which incorporates angles derived from Platonic solids, conceptualizes primes as emergent patterns at intersection points between mathematical reality and infinity streams. Our findings reveal consistent mathematical relationships, including connections to π and the golden ratio, providing new insights into prime number distribution through geometric topology and wave mechanics.