The Riemann Hypothesis as Scale-Independent Spectral Coherence: An Information-Theoretic Equivalence

Key Points

• The study aims to provide a new perspective on the Riemann Hypothesis using information theory.
• Developed an information-theoretic framework for the Riemann Hypothesis
• Analyzed non-trivial zeros of the Riemann zeta function
• Utilized spectral decomposition to examine prime counting error
• Established a relationship between Riemann Hypothesis and spectral coherence
• Identified frequency components representing prime counting errors