← TCDC: Target–Condition Dual Closure and Chen-Type Pressure / TCDC-22 · The prime-variable lift and the end of the series

TCDC: Target–Condition Dual Closure and Chen-Type Pressure TCDC-22 · The prime-variable lift and the end of the series Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)

The Prime-Variable Lift and the Two-Prime Convolution Adapter: Exact Prime-Coefficient Routing, the von Mangoldt Majorant, the Positive-Sieve-Lift No-Go, Pascadi/Maynard Type-II Adapters and the PVL Status Correction

Corrects TCDC-21: the second prime variable blocks Yang's displayed interface, not Type-II technology in general; Pascadi's 5/8 Type-II and Maynard III's uniform-residue Type-II both accept divisor-bounded coefficient sequences, so a prime indicator or a normalised von Mangoldt majorant can be inserted without a logarithmic loss; a second positive linear sieve to detect primes costs the standard factor 2 (χ > 0.0606), which is already constant-fatal in the bad-mass-simplex benchmark. The open item is one theorem with prime coefficients, growing-residue uniformity and the 5/8 level (P ∩ R ∩ L).

The end of the series: PVL is 'routable' in general, but the full TCDC P ∩ R ∩ L provider is 'NOT YET'; GOLDBACH STILL OPEN. 'PVL solved as a coefficient interface' rests on the authors' reading of a thesis proposition and of Maynard III propositions that the pre-publication read-through could not verify; the paper admits that the range (3/8, 2/5) is uncovered. The announced TCDC-23 (growing-residue uniformity / Goldbach-shift adapter) and TCDC-24 are not in the package.

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