Structural Barriers in Spectral Proof Programs
Abstract
This preprint analyzes structural barriers affecting spectral proof programs across analytic number theory, operator theory, and spectral analysis. The study formalizes spectral operator frameworks, eigenvalue stability conditions, and limitations of spectral reasoning when applied to major open mathematical problems. No claim is made regarding the Riemann Hypothesis or other unresolved problems. The contribution is methodological, clarifying theoretical constraints governing spectral approaches.
Fields of Study & Subjects
Analytic Number Theory Research
Spectral Theory in Mathematical Physics
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 March 2026
- Language
- EN
- Document type
- Preprint