Deterministic Sequential Tidal Filtration in a Regular Six-Throat Geometry

This paper establishes deterministic sequential tidal filtration in a regular six throat ultrastatic geometry. The geometry contains six physical throats arranged on two reflection related directed branches, with three successive throat classes on each branch. Their exact waist strengths are 2304, 3600, and 57600. For radial timelike transport, the tidal field measured by the moving observer remains finite and the radial kinematic factor is conserved. For a bound system characterized by its mass, characteristic scale, and binding energy, the analysis produces a universal classification of tidal response. Loss of binding occurs first at the first throat when the dimensionless control parameter is at or below 48, at the second throat when it lies between 48 and 60, and at the third throat when it lies between 60 and 240. Above 240, the system survives as the same bound state through all three throat classes. Reflection symmetry produces the same filtration law on the positive and negative branches. The paper also derives the exact transverse Jacobi dynamics and establishes the distinction between cumulative Jacobi deformation, peak local tidal loading, and the local impulse approximation. It further presents a self gravitating benchmark, an exact tidal torque identity, a robustness analysis, and independent reproducibility tests. This work is Paper III in the Six Throat Directed Geometry series. It develops the material processing consequences of the regular geometry and directed transport established in the preceding papers. The accompanying reproducibility program independently reconstructs the throat strengths and filtration boundaries and verifies the resulting classification numerically.