Factor Resolution, Rank Crossing, and Local Fluctuation Corridors in the 6-Wheel

We bring together the complete factor resolution of a twin position–rank trace, geometric sign certificates, directed variation, and local fluctuation corridors. For existing twin-prime events starting with (5,7), we distinguish the cell position \\(K_m\\), the prime-rank height \\(I_m = \\pi(t_m)-2\\), and the mixed rank–value defect \\(\\delta_m = I_m-p_m\\). The common finite dataset contains 5,001 events and 140,012 composites up to 557,743, resolved into 130 least-prime-factor (LPF) classes while retaining all nonminimal factors. The layer-by-layer exclusion identity distinguishes exact rank resolution from a sign guarantee that can become available earlier. The known zero at \\(m=309\\) does not coincide with the start of a new LPF layer. A geometric ordering reformulation certifies the negative position of all 4,692 subsequent events in the dataset through 99 finite blocks. The overall negative drift remains accompanied by numerous positive steps. Sharp capacity corridors are given for completed event blocks; in the block 319 → 329, the endpoint masses and the divisor mask through 131 force a maximum upward excursion between 32 and 34 and locate its maximum at event 325. A separate forward theorem bounds the upward excursion in a chosen cell window without future rank masses. The synthesis distinguishes complete provenance analysis, conditional reconstruction, and prospective certificates. Unbounded non-return after 309 is formulated as an additional hypothesis, not deduced from the finite findings.