Primitive period comparison and smaller skew Schur probes
We exclude primitive least-common-multiple comparisons of source-minimal nonline inners in empty-mark skew Schur compositions with ribbon outers. The proof treats both orientations and recovers literal motifs in the parallel case, without lower-area induction. Under strict discrete-interior entry hypotheses, we also construct equal proper ribbon-outer probes of strictly smaller area from positive ordinary comparison charts with a nonribbon source inner and uniform ribbon candidate inventory. Complete signed high identities give primitive polynomial rays, and a two-window calculation recognizes actual ribbons after the required endpoint words have been identified. Lower rooted transport converts these constructions into a conditional period obstruction. Residue grading, Hall tails, and an imported original-determinant theorem give further scoped comparison consequences. Chart restoration and equal-period marked-key recognition remain separate obligations.
Authors
- John Shields (ORCID: https://orcid.org/0009-0004-3882-4571)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-26
- DOI
- https://doi.org/10.5281/zenodo.23665232
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- preprint