Regular Six-Throat Spacetime Beyond Singular Endpoints: Finite Tidal Processing and Deterministic Sequential Filtration

We establish a finite and deterministic tidal processing law for bound systems moving through a regular six throat spacetime. The geometry contains three successive throat classes on each of two directed branches. All six throats remain regular and finite in curvature, while their local tidal strengths form an exact ordered hierarchy.A radially moving observer measures a finite transverse tidal field. Radial timelike motion preserves the same positive kinematic magnitude throughout the passage, so the same bound system encounters the three throat classes in a fixed sequence. This converts regular transmission into a definite material processing problem rather than a singular endpoint problem.Within the local binding criterion defined in the paper, the first loss of binding is determined by one dimensionless material parameter. Systems in the first interval lose binding at the first throat class. Systems in the next interval survive the first throat and lose binding at the second. Systems in the third interval survive the first two and lose binding at the third. Systems above the final boundary remain bound through all three throat classes. The exact boundaries are 48, 60 and 240 and are fixed directly by the geometry rather than fitted from data.The cumulative transverse deformation is described by an exact Jacobi solution with a unit determinant transfer matrix. This separates cumulative deformation from peak local loading and from the local impulse approximation. A self gravitating benchmark and an exact tidal torque relation show how the same finite anisotropic field acts on extended bound systems and how the angular momentum response depends on orbital phase.The same filtration law applies on both directed branches under reflection symmetry, and the ordering remains stable under the perturbation ranges established in the paper. The accompanying reproducibility code reconstructs the throat strengths and filtration boundaries directly from the defining geometry and verifies the classification numerically.The result is a regular transport sector in which transmitted bound systems encounter an exact sequence of finite tidal thresholds instead of a divergent tidal endpoint.