Becker–GPT Prime Theory: Harmonic Filter Based on φ and Angular Signature

 We present a deterministic method for identifying prime numbers using har
monic angular positioning rather than divisibility or factorization. The method
 applies the formula F(n) = sin2(2πφx) with x = n−41
 12 and φ representing the
 golden ratio. This function maps natural numbers into a quasi-helical structure on
 the unit circle, where each number is assigned a harmonic arm (modulo 24) and
 a precise angular degree. Primes are shown to occupy unique, non-overlapping re
gions in this angular-harmonic space. Testing up to n = 107 reveals zero collisions
 between prime and composite signatures