The Helical System: A Geometric Mechanism for Zeros of the Riemann Zeta Function

We introduce a geometric stabilization framework for the Dirichlet partial sums on the critical line, based on a phase-locking mechanism that forces the walk into a non-degenerate square-root helical regime. We prove a one-directional implication: whenever this helical locking occurs, the de-trivialized remainder cancels and a zero of the Riemann zeta function is produced on the critical line. The construction provides a geometric detector that generates a coherent spectral class of critical zeros and admits a spectral interpretation in terms of log-frequency resonance of the integer system. Within this framework, zeros appear as stable resonance states of the Dirichlet walk. Extensive numerical experiments demonstrate a sharp statistical separation between the helical signature at true zeros and generic off-zero points. The argument is strictly one-directional: the paper establishes that helical phase-locking implies a zero, but it does not exclude the logical possibility of non-helical cancellation mechanisms outside the scope of this model.