D T58 develops a conditional entangling-power framework arising from irreducible rotational structure in the reduced Q5 transport sector. The theorem analyzes the antisymmetric rotational invariant generated by phase-asymmetric transport amplitudes and studies its consequences under a bipartite reduced-sector decomposition. When the reduced interaction generator contains a non-removable rotational interaction component, \ A₈₍ₓ0, resulting reduced evolution operator becomes non-factorizable under local sector decomposition, implying strictly positive entangling power, ₚ (U) >0. theorem, therefore, identifies a structural pathway from irreducible mediated rotational transport to nonlocal reduced-sector coupling behaviour. T58 does not claim that Q5 derives quantum entanglement from first principles, nor that this mechanism is unique. Rather, it establishes that under the stated decomposition and interaction assumptions, the mediated rotational residue generated by asymmetric transport produces nonfactorizable reduced evolution with positive entangling capability. The theorem further clarifies that vanishing rotational structure disables this specific entangling channel without excluding alternative entanglement mechanisms. Status: solid for the nonfactorizable-unitary and positive-entangling-power conclusions under the stated operator assumptions; conditional on the bipartite tensor decomposition and the mapping from reduced rotational structure to interaction generators; speculative for broader physical interpretation or equivalence with quantum entanglement phenomenology.
Craig Edwin Holdway (Sat,) studied this question.