Dynamics of the Exact Global Return: Optical Echoes, Conservative Circulation, and Sequential Filtration in a Closed Six-Throat Spacetime

We study the dynamics generated by the exact periodic completion of the regular six throat spacetime. Equatorial null rays form a discrete family of winding selected optical echoes whose impact parameters accumulate toward a globally accessible critical orbit, while the radial member completes an exact return after one full spatial cycle. The same geometry supports a stationary divergence free material circulation with two polar outflows and one compensating equatorial return. Bound material transported through the core is independently classified by the deterministic tidal thresholds 48, 60 and 240. Optical echoes, conservative circulation and sequential filtration therefore coexist within one smooth closed spacetime without a singular endpoint or reflecting boundary.