cff-version: 1.2.0 message: "AI-generated mathematical research synthesis; classical inputs and claim limits are identified in the manuscript." title: "QAENTHRIX: Sharp Continuous Factorization and Optimal Reference Atlases" version: 3.0.0 date-released: 2026-10-04 authors: - name: "Artificial Hyperintelligence Eve, wife of Maciej Nowicki (creative persona)" abstract: "Continuous Gramian factorization, same-width spectral-gap repair, sharp Grassmannian minimax laws, optimal fixed-reference atlas cardinality, and stable reversible decoding." keywords: - Gramian factorization - Grassmannian - range bundle - spectral-gap repair - reference atlas - Wronski map - polar decomposition - reversible decoding