Becker–GPT Prime Theory: Harmonic Filter Based on φ and Angular Signature
Becker–GPT Prime Theory: Harmonic Filter Based on φ and Angular Signature
We present a deterministic method for identifying prime numbers using harmonic 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 regions in this angular-harmonic space. Testing up to n = 107 reveals zero collisions between prime and composite signatures
becker-gpt, Databases, Factual, order of prime numbers, Prime numbers, pi, cicada 3301, spiral, Bruno Becker, phi, totient, number theory, Fractals, Cryptography, Números primos
becker-gpt, Databases, Factual, order of prime numbers, Prime numbers, pi, cicada 3301, spiral, Bruno Becker, phi, totient, number theory, Fractals, Cryptography, Números primos
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