← SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary / SRBRD-21 · The fixed-a barrier (a negative result)

SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary SRBRD-21 · The fixed-a barrier (a negative result) Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)

Fixed-a Spectral Dependency and the Goldbach-Shift Uniformization Audit: Bezout Small-Phase Breakdown, Spectral-Frequency Inflation and the Naive Residue-Reduction Barrier

A dependency audit of the Maynard-I/II proofs: three explicit fixed-a breakpoints (Bezout error ~ |a|(log X)⁵/X, the second reciprocal simplification, spectral frequency Y proportional to |a|) mean that merely tracking the implied constant cannot uniformize to a_X ~ X; it retracts the 'easy outcome' of SRBRD-20.

A dependency audit of other people's proofs: tracking the fixed-a implied constant is not enough to uniformize; it withdraws an optimistic statement of SRBRD-20. This is an audit claim about external proofs and cannot be checked from this folder; it is consistent with the introduction of Maynard-III (spectral methods force a ≪ x^ε).

Connections · Connections

PreviousSRBRD-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
NextSRBRD-25 · The end of the series · 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

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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