A Two-Stage Geometric Analysis of the Dirichlet Walk for the Riemann Zeta Function

We introduce a geometric framework for the Riemann zeta function based on asecond analysis of the Dirichlet remainder. The leading asymptotic structureof the Dirichlet walk induces a canonical helical carrier on the critical line,and the behavior of the remainder can be studied relative to this geometry. Within this framework we show that analytic vanishing corresponds to a rigidhelical locking phenomenon between the Dirichlet walk and the canonical helix.We prove that this locking mechanism can occur only at parameterss=1/2+it. Consequently, within the proposed framework, the zeros of the zeta functionare confined to the critical line.