T77 formalizes the relationship between the observable Q5 fringe-bias magnitude and the underlying transport architecture responsible for hidden phase leakage into the measurable interference sector. Building on the scale estimates developed in T75, the theorem identifies two structurally distinct transport regimes. In the single-crossing regime, hidden phase leakage reaches the observable sector at the first barrier traversal, producing a characteristic bias scale\A=1320358. 910^-510^-4. the return-mediated regime, the observable signal arises only after a closed transport loop requiring an additional suppressed traversal, giving\B=1320353202. 810^-710^-7. theorem, therefore, interprets the observed order-of-magnitude scale of the fringe bias as a diagnostic probe of the active transport topology rather than merely a binary detection target. A central structural result of T77 is the minimal-path principle: the leading observable contribution is determined by the lowest-order transport path coupling hidden phase classes to the observable interference sector. Additional traversals introduce further suppression factors and therefore contribute only subleading corrections. This principle explains why the single-crossing regime dominates whenever both transport channels are kinematically accessible, while also clarifying how null results at one scale naturally constrain the available transport architectures without immediately falsifying the broader Q5 framework. T77 is experimentally important because it reframes null results as structural information. Absence of a Q5-consistent signal near the \ (10^-4\) scale constrains the single-crossing leakage regime while leaving the return-mediated regime viable. Only null results at sensitivities well below the \ (10^-7\) scale would constrain both currently identified transport regimes simultaneously. The theorem, therefore, converts the experimental program developed in T72-T76 into a nested transport-selection framework in which observed signal scales, or sufficiently sensitive null results, provide information about the underlying leakage topology itself. Status: solid for the minimal-path suppression logic and for the interpretation of transport regimes as structurally distinct leakage architectures; conditional on the suppression factors inherited from T57 and the leakage-scale mapping developed in T75; conditional on experimental access to the relevant transport channels and sufficient detection sensitivity; not a claim that the listed regimes exhaust all possible transport architectures or that any observed interferometric residual presently constitutes evidence for Q5 transport.
Craig Edwin Holdway (Sat,) studied this question.