T71 develops a framework for admissible structure-preserving transformations within the reduced Q5 transport geometry. Building on the cyclic evolution classes and admissible transport-sector organization established in T69-T70, the theorem studies transformations that preserve quotient-stable transport structure under mediated reduction. The resulting framework identifies reduced transport-preserving mappings that maintain cyclic closure, admissibility invariance, and projective-sector stability across the reduced evolution architecture. T71 is structurally important because it shifts the framework from static classification toward invariant transport geometry. Rather than studying isolated reduced operators or sector classes alone, the theorem characterizes the transformations that preserve the admissible transport structure itself. The reduced transport architecture, therefore, begins to acquire a stable internal invariance structure generated by quotient-compatible evolution and mediated admissibility preservation. T71 does not derive full physical symmetry groups, Lorentz invariance, gauge covariance, or continuous Lie-group dynamics. The theorem establishes only the existence of admissible reduced transport-preserving transformations within the quotient-reduced Q5 evolution framework. The resulting invariance structure is therefore best interpreted as an internal reduced transport geometry rather than a completed physical symmetry theory. Status: solid for the admissible transport-preservation and quotient-stable invariance structure under the stated reduction assumptions; conditional on the inherited projective and admissibility frameworks from T64-T70; speculative for any direct identification with physical spacetime or gauge symmetries.
Craig Edwin Holdway (Sat,) studied this question.