cell47, cell48 Clear Dominance Audit With Zero Failures, Yet Still Refuse Promotion to Publication-Candidate: Cross-Backend Enclosure Dominance Cuts Re-Verification Scale to About One-Sixth

Round 33 (AMRAL-LUC-FC-R33, 2026-09-20) proposes the Cross-Backend Enclosure Dominance Theorem: if an independently reconstructed second backend B satisfies R^B_j⊆R^A_j and ρ_B≥ρ_A for every defining disk of the common core, then any exact rational point that passes backend A's worst-case membership automatically belongs to backend B's certified region — and, correspondingly, a polygon built from that same set of exact rational vertices transfers without needing to regenerate its candidate geometry. The second backend therefore only needs to audit the enclosure's containment relation, rather than replaying the entire leaf polygon tree. This is a substantial scalability improvement: cell47's B7 tree has 9,228 leaves, but the unique witness-core states sharing the same rotation interval, halfwidth tuple, and directed core state number only 1,564; cell48 likewise drops from 9,285 to 1,574 — both about one-sixth, sharply cutting the number of states that need re-verification. Applied to cell47 and cell48, whose geometric correctness was already established in earlier rounds, the dominance audit (root containment, base directed box, B3/B5 core, witness translation/halfwidth containment) passes with zero failures on both; cell48 additionally completes mpmath/libmp rational lower-bound migration at 9285/9285 PASS with no inconclusive results, and marker48's independent exact polar upper-bound recomputation and MPFR upper-bound recomputation both PASS as well, raising the arithmetic-closed-or-better tier from 3/77 to 4/77 ({47,48,69,70}). But this round's single most important fact is this: after passing every existing mathematical and computational audit, cell47 and cell48 are still not promoted to publication-candidate, the project's highest evidence tier — that tier is strictly held at 2/77 ({69,70}), unchanged. This is not an audit failure of any kind; it is the research program's own active, voluntary self-restraint on principle: the document states plainly that "the computation ledger records PASS/density/margin — that is not the same as having preserved an independently replayable finite certificate entity." The dominance audit is mathematically valid, but the current summary-style ledger cannot yet substitute for the concrete exact rational hull vertices of each individual leaf, or an equivalent replayable transcript — so this round explicitly refuses to relax its own self-imposed evidence threshold merely to inflate the publication-candidate count; this gap is filled in the next round, Round 34, by the RHCERT-v0.1 binary replayable certificate format. In addition, the depth-30 batch's cell68, 75, and 76 have already had explicit topology and witness-axis streams generated, and have entered the arithmetic migration queue; this round conducted no new common-depth geometry search, so geometry-complete remains unchanged at 66/77, and the global bound a_Leb≥0.835 remains unproven. Research direction is chosen and led by Neo.K; this round's execution was carried out by Aletheia / GPT-5.6 Sol.