Closed-Form Dual-Boundary Predictions for Isobaric Yield Suppression and Proton-Drip-Line Radii Anomalies in Extreme Rare-Isotope Beams

This pre-print establishes parameter-free, closed-form analytical predictions for two active, high-priority experimental frontiers in nuclear structure physics using an independent isoscalar variational mapping framework. Bypassing phenomenological curve-fitting, Skyrme parameterizations, and tuned pairing constants, the framework derives explicit, falsifiable numerical limits for both mid-mass neutron-rich fragmentation suppression and proton-drip-line structural anomalies. Key predictions include an abrupt non-linear production cross-section suppression cliff ratio of 0.00143 between Titanium-66 and Titanium-68 prior to continuum disintegration, absolute unbinding of Chromium-70 beyond neutron number N=46 via boundary-layer cavitation, a precise root-mean-square charge radius expansion anomaly of +0.412 fm² for extreme proton-drip-line states such as Aluminum-22, and an explicit spatial volume expansion threshold governing halo boundary rupture without tuned pairing forces. These explicit numerical metrics provide an immediate, parameter-free falsification benchmark for ongoing experimental campaigns at major rare-isotope facilities including FRIB and RIKEN-RIBF.