Deterministic Rigidity and Necessity of the Helical Mechanism for Zeta Zeros

We reformulate zeros of the Riemann zeta function as no-distortion states between a discrete Dirichlet sum and its continuous analytic surrogate. Within a deterministic, non-chaotic regime, such a perfect discrete--continuous identity cannot arise accidentally and necessarily fixes a unique underlying mediation pattern, defined up to trivial rescaling. We show that a non-degenerate helical phase--amplitude locking of the Dirichlet walk provides an explicit, non-circular mechanism that produces true zeros, and that this mechanism is intrinsically critical-line selective. Consequently, any nontrivial zero must occur on Re (s) = 1/2, yielding the Riemann Hypothesis within the stated framework. Extensive numerical experiments on the first thousands of critical zeros reveal a sharp and exclusive helical signature at zeros and no comparable behavior away from them, providing strong empirical validation of the proposed rigidity mechanism.