Operational Manifold Redshift and Closed Path Image Multiplicity

This update develops an explicitly testable OUXSPACE interpretation of cosmological redshift as a possible accumulated mismatch between an observable electromagnetic phase and internal geometric phase transport. It connects the six-coordinate operational manifold of the earlier report to a proposed closed optical route and the possibility of repeated images of the same astronomical source. It distinguishes three logically separate propositions: geometrical transport of phase, an additional physical law converting transport into spectral frequency shift, and a global topology capable of producing multiple optical paths. The exponential redshift relation can be integrated exactly once its local rate is assumed, but that rate has not yet been obtained from a single solved nonlinear field system. Conditional numerical predictions and independent observational failure criteria are given below. The 362 million light year extent, a 90 percent phantom-image share, and a 10 to 100 times slower expansion are investigated as hypotheses, not adopted as measured conclusions.