Marcovich, Barry: The Square-Root Symmetry: A Structural Framework for the Riemann Zeta Function

We formalize a structural perspective on the Riemann zeta function, highlighting a natural balance between the "inside" (integer counting) and "outside" (density/reflection) perspectives of the number system. Using divisor pairings, information measures, and the functional equation, we show that s = 1/2 is a unique symmetry axis where information is balanced. While this framework does not prove the Riemann Hypothesis, it provides rigorous structural context explaining why the critical line is di