A Heuristic Framework for the Riemann Hypothesis via Recursive Resonance
Abstract
An exploratory, heuristic framework for interpreting the Riemann Hypothesis through the lens of recursive dynamics, signal processing, and geometric stability. Rather than proposing a formal proof, the work reframes fluctuations in the prime counting function as a normalized signal. It examines its behavior under a recursive projection operator inspired by resonance stabilization and fractal geometry. This paper also doesn't prove the Riemann Hypothesis, and I regret to inform the reader that no million-dollar check is attached.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Computability
Logic
AI Algorithms
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 January 2026
- Language
- EN
- Document type
- Preprint