Why Modern Physics Cannot Describe the Translation from Zeta Zeros to Prime Numbers: A Structural Proof of Impossibility・Proof of the Relationship Between the Zeta Function and Prime Numbers via AiSU Theory

The connection between the non-trivial zeros of the Riemann zeta function and the prime numbers reveals a structural resonance that cannot be explained by modern physics. This paper argues that the inability to describe the translation from zeta zeros to primes arises not from a lack of mathematical data, but from a lack of structural language. Using the AiSU framework, we provide a structural explanation for why modern physics fails and why a new theory of translation is required.・The non-trivial zeros ζ of the Riemann zeta function and the distribution of prime numbers p are structurally related through a translation mechanism that can be formally described and proven using the AiSU theoretical framework. We demonstrate that by interpreting ζ as the source information A, log(p) as the structural fluctuation i, and a resonance coefficient a as the field S, the prime numbers can be reconstructed via the AiSU equation (A + i) · S · U = 1. This provides a structural, non-causal explanation of prime emergence as translational output from deeper mathematical fields.