← SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary
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SRBRD-17 · Ideal 1.70 against naive 60.56
SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary
SRBRD-17 · Ideal 1.70 against naive 60.56
Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)
The Pair-Buchstab Shell and the Row-Sieve Quantitative Gate: Exact Euler-Factor Switching and the Dimension-2 Constant Barrier
Exact Euler-factor switching V_m(z) = P_0(z)W_m(z); the ideal zero-transport ledger margin 9 − 18 ln(3/2) = 1.70163 against the naive unswitched DHR row cost 16e^{2γ}(1/2 + ln 2) = 60.5588, hence a constant-level no-go for naive row bounds.
A constant-level no-go for naive dimension-2 row bounds, and an exact switch of the semiprime rows to 'prime cofactor × one-residue sieve'.
1.70163 is an idealised diagnostic with every sieve multiplier set to 1 and must not be read as an attainable margin; SRBRD-17/18 also never tie this ideal ledger back to the parity discussion of SRBRD-11–15. The constants were recomputed without discrepancy in the pre-publication read-through.
Connections · Connections
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.