Predictions and Solutions for Aminoglycoside Resistance Riboswitches via Contact-Geometric Operator Analysis (TOGT/GTCT — Domain 1 of 3)

Predictions and Solutions for Aminoglycoside Resistance Riboswitches via Contact-Geometric Operator Analysis (TOGT/GTCT — Domain 1 of 3) Applies the TOGT/GTCT contact-geometric operator framework to the aminoglycoside riboswitch conformational cycle, mapping G = U∘F∘K∘C on a dm³ contact manifold. The fold operator F (Whitney A1 singularity) maps to the stem competition bifurcation; κ* maps to the free-energy barrier between OFF and ON states. Derives three falsifiable predictions: (P1) switching free-energy barrier is linear in κᵣibo, measurable by SHAPE/DMS probing; (P2) effective antagonists raise κ at the fold point — steric bulk at the switching junction suffices; (P3) dose-response follows a dm³ sigmoid with Hill coefficient n ≈ 3. 64 derived from μmax = −2 (not fitted). Part of the Principia Orthogona series. XII Bienal da SBM, Natal, 2026. series root DOI 10. 5281/zenodo. 19117399, domain bundle 10. 5281/zenodo. 20559510, resource type Preprint, author Nogueira Grossi, Pablo, ORCID 0009-0000-6496-2186.