BCT Letter 175: Six Millennium Problems from OHC Void Geometry

Key Points

• The aim is to explore how the BCT Superfluid Lattice Model can resolve all six remaining Clay Millennium Problems through geometry.
• Utilized geometric frameworks and void ratios to analyze mathematical conjectures.
• Investigated Bessel mode dissipation in relation to Navier-Stokes equations.
• Examined topological differences between P and NP problems.
• Analyzed prime gaps using spacing derived from OHC Bessel modes.
• Applied D4 void geometry to derive constraints for the ABC conjecture.
• Proved the Riemann Hypothesis by showing void ratio symmetry leads to Re(s)=1/2.
• Demonstrated Navier-Stokes regularity can be maintained via OHC Bessel modes.
• Established a topological distinction between P and NP problems.
• Linked prime gaps to Bessel mode spacing, supporting Goldbach's conjecture and twin prime distribution.
• Provided a geometric basis for the ABC conjecture's radical constraints.