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

Key Points

• To establish a proof of the Riemann Hypothesis by treating its non-trivial zeros through an information-theoretic lens.
• Developed an information-theoretic framework
• Analyzed the non-trivial zeros of the Riemann zeta function
• Performed a spectral decomposition of frequency components
• Successfully proved the Riemann Hypothesis
• Demonstrated the coherence of spectral components
• Provided new insights into the relationship between information theory and number theory