Quark Mixing Angles from Pentagon Rotation and Fibonacci Lattice Winding

Key Points

• The aim is to determine quark mixing angles through the geometric frameworks of pentagon rotation and Fibonacci lattice.
• Utilized geometric principles involving pentagon rotation.
• Applied Fibonacci lattice structures to analyze quark behavior.
• Developed theoretical models to predict mixing angles.
• Identified specific relationships between geometric transformations and quark angles.
• Demonstrated how Fibonacci lattices can influence particle interactions.
• Provided new insights that challenge existing models of quark mixing.

Abstract