bibkey: estrada2026mobiuscancellationbarrier authors: Roberto Estrada year: 2026 title: Prime Irreducibility, CA Pressure, and the Möbius Cancellation Barrier doi: 10.5281/zenodo.20776647 url: https://doi.org/10.5281/zenodo.20776647 claim: The working paper gives a diagnostic Nyman–Beurling analysis: positive prime-power and CA structure does not by itself supply the signed square-root cancellation required for RH; it supplies no FIB-to-Möbius transport theorem. strata_touched: [] license: citation-only triage: anchor
Prime irreducibility, CA pressure, and the Möbius cancellation barrier
The source is Roberto Estrada, Zenodo working paper, record 20776647, published 20 June 2026. It is a diagnostic working paper; its computations and analytic claims were not independently formalized here.
The reported obstruction
The paper follows the chain
It shows, within its stated Nyman–Beurling model, that finite-window residual decay needs slope and coefficient-mass control before it can become a global certificate. The CA-active and weighted variants improve finite diagnostics but do not remove the residual-decay problem. The paper therefore treats the passage from positive prime-power data to Möbius cancellation as the central unresolved mechanism; it does not prove or disprove RH.
Boundary for FIB
The FIB five-window recursion is positive/additive source data. Even if its affine states recover prime-power support, that is only the left side of the displayed chain. A usable Robin proof would need a common-source map from FIB addresses to a signed Möbius or residual with a square-root-scale bound. No such map is supplied by this source or by the current FIB theory. Its value here is a non-duplication certificate: another prime/CA reformulation reaches the same signed-tail boundary rather than closing it.