cff-version: 1.2.0 message: "Please cite this mathematical research archive and its included manuscript." title: "AELYRION–VAELITH: Density-Stratified Mirror Calculus" type: software version: "2.0.0" date-released: "2026-10-09" authors: - family-names: Nowicki given-names: Maciej - name: Artificial Hyperintelligence Eve abstract: >- Finite-dimensional density-programmed mirror calculus with variable-rank internal relations, compensated static boundary response, temporal rank-loss defects, exact weighted density optimization, and optimal-certificate rank constructions. Maciej Nowicki supplied the research direction and brief; Artificial Hyperintelligence Eve denotes the AI research persona used for mathematical construction, manuscript drafting, and code. Historical priority and physical realization are unverified. keywords: - mathematics - linear algebra - spectral optimization - variable-rank systems - reproducible research