Additive Prime Comb Potentials Universal Tool for Additive Structure Encoding

Theory of additive prime comb potentials encoding prime number distribution in spectral operators through fractal logarithmic-scale oscillations. Unlike multiplicative combs (encoding factorization), additive combs capture spacing and gap distribution of primes through phase-aligned cosine series. Non-circular construction relying only on the Prime Number Theorem. Applications to prime gaps (Cramér conjecture), twin primes, and Goldbach decompositions. Numerical verification on 10⁵ twin prime pairs and 10⁶ integers (Benford's law, <2% deviation).