← SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary / SRBRD-14 · The transport identity and parity correlation

SRBRD: The Symmetric Root-Bounded Relation Domain and the Sieve–Parity Boundary SRBRD-14 · The transport identity and parity correlation Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)

Aggregate Semiprime-Cell Coupling: Diagonal / Off-Diagonal Transport Matrix, the Prime-Majority Criterion, a Recursive Diagonal Lower Bound and the Parity-Correlation Identity

The exact transport identity M_PP = n_P − n_SP + M_SS, the prime-majority criterion (n_P > n_SP gives Goldbach success for that m), a recursive diagonal lower bound via smaller Goldbach counts R(2m/r), and the identity M_PP = (#S − 2A_z + C_z)/4 that writes the parity barrier as a Liouville imbalance/correlation.

A per-m criterion, not a uniform theorem; the paper writes 'UNIFORM PRIME-MAJORITY NOT PROVED; GOLDBACH STILL OPEN'. The pre-publication read-through reproduced the identity for m = 3…4000 with zero mismatches and saw n_P > n_SP hold for all 3998 tested m; that is a finite observation, not a theorem for all m.

Connections · Connections

PreviousSRBRD-11 · The sieve–parity audit · Square-Root Completion and the Sieve–Parity Interface: Fixed Cutoffs, Root-Complete Prime Certification, Bulk–Frontier Geometry and a Parity-Barrier Audit
NextSRBRD-16 · The Buchstab-row-flow identity · Buchstab-Row Mass and the Upper-Bound Mixed Flow: The Pair-Buchstab Identity, Cube-Root Semiprime Rows and the Dimension-2 Row Sieve

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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