Helical Phase Geometry of Electrons: A Geometric Interpretation of Quantum and Relativistic Structures

Key Points

• This research aims to provide a geometric interpretation of electron dynamics through helical phase motion.
• Utilized phase-coherent helical motion to analyze electron dynamics
• Identified geometric constraints that influence electron behavior
• Examined the emergence of quantum properties like spin and quantization
• Demonstrated that phase closure is critical to understanding electron dynamics
• Showed that geometric constraints lead to the emergence of spin-1/2
• Confirmed that bound-state quantization is inherently linked to phase geometry