The Superposition Principle and the Riemann Hypothesis: A New Perspective on a Classic Problem

In this work, we explored the connection between a specially constructed proxy function, $G(s)$, and the Riemann zeta function. We demonstrated that $G(s)$, which is defined using prime numbers, has zeros exactly at the non-trivial zeros of the Riemann zeta function. Through a series of theorems and properties, we established that the zeros of $G(s)$ are uniquely determined by their real part. Our results provide a new perspective on the structure of the vertical distribution of zeros of the Riemann zeta function. However, we do not claim to have proven the Riemann Hypothesis; rather, we present an alternative formulation to facilitate its analysis.