← SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary
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SRBRD-25 · The end of the series
SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary
SRBRD-25 · The end of the series
Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)
The Structured-Prime Provider and Shift-Free Dispersion Hybrid: the Complement-Exponent Map, a Maynard-III Range Audit, the 3/8 Type-II Optimum, the 5/8 ↔ 3/8 Weight-Class Duality and the Residual Dispersion Region
A complement-exponent map; reproduces the limiting 3/8 floor of Maynard-III Prop 5.2 at (3/8, 1/16, 1/16); θ ≥ 1 − α (5/8 ↔ 3/8); current upper-linear-sieve weights (3/5) cannot cover the top complement; even optimistic external shapes leave a non-empty residual dispersion region, so RSFLD stays necessary and unproved.
The end of the series: external large-modulus technology is aligned scale by scale with the complement-switched low-row geometry, leaving an explicit 'residual dispersion region'. It ends with GOLDBACH STILL OPEN; RSFLD NOT YET PROVED; CONSTANT CROSSING NOT YET PROVED.
The ledger entry 'the current linear-sieve level is 3/5' may be stale against Yang v2 (5/8 for fixed a and L < x^{3/8}). The SRBRD-26 recommended by the paper (residual-band constant integral / shift-free dispersion budget) is not in the package: what is handed over is a localised open problem and an unexecuted budget computation, not a result.
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.