A Thermodynamic Proof of the Riemann Hypothesis via Distributed Information Geometry

Key Points

• This research aims to provide a proof of the Riemann Hypothesis by employing concepts from thermodynamics and information geometry.
• Mapped the Zeta Function to concepts in thermodynamics.
• Analyzed stability at the Re(s)=1/2 boundary.
• Applied principles of distributed consensus to the proof.
• Demonstrated a correlation between the Zeta Function and stability in distributed systems.
• Provided a thermodynamic framework supporting the Riemann Hypothesis.

Abstract