← SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary / SRBRD-18 · 29.63, 0.96288, 1.23315

SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary SRBRD-18 · 29.63, 0.96288, 1.23315 Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)

The BV-Switched Row and the Weighted Buchstab Constant Ledger: Distribution Level Alone Is Not the Missing Ingredient

Fixed-row BV plus an ordinary linear sieve costs at least 24e^γ ln 2 = 29.63 > 9; an aggregate plain linear sieve would need level θ > 0.96288; the required row multiplier is R < 1.23315 against a finite calibration of 0.98–1.18; so distribution level alone is not the missing ingredient.

A ledger of necessary conditions, not sufficient ones; verdict: UNIFORM CONSTANT CROSSING STILL OPEN; GOLDBACH STILL OPEN. These thresholds are necessary conditions under idealised coarse/shell constants; 'the true row constant seems close to 1' is a heuristic extrapolated from finite calibration at m ≤ 10⁵. The constants and the R_obs table were recomputed without discrepancy in the pre-publication read-through.

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PreviousSRBRD-17 · Ideal 1.70 against naive 60.56 · The Pair-Buchstab Shell and the Row-Sieve Quantitative Gate: Exact Euler-Factor Switching and the Dimension-2 Constant Barrier
NextSRBRD-20 · The hypothesis audit and the minimal missing lemma · Goldbach-Shift Uniform Convolution: The Low/High Row Split, Maynard-II Fixed-Residue Dependency, Maynard-III Uniform Type-II Coverage and the Minimal Missing Lemma

This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

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