This work establishes a direct geometric mapping between the frequencies of integer divisibility and the topological structure of the partition simplex. We demonstrate that divisible numbers generate strictly periodic, lower-dimensional cyclotomic resonances mapped to the boundary line (s) = 0. By introducing the Kaleidoscopic Filter Theorem, we show that the exact geometric cancellation of these lower-dimensional sub-simplices naturally isolates the fluctuation frequencies of the prime numbers. The mathematical destruction of local periodic boundaries rigidly forces the asymptotic resonance of the system onto the critical line (s) = 1/2.
Antonio Bonelli (Mon,) studied this question.