Relational Geometric Mechanics V: The Weak Force — Identity Change, Short Range, and Electroweak Symmetry Breaking from SU(2) Doublet Phase Structure

Key Points

• The aim is to explore the derivation of the weak nuclear force using SU(2) doublet phase components in Relational Geometric Mechanics.
• Analyzed the SU(2) doublet phase component of the RGM wave signature.
• Assessed the qualitative distinctiveness of the weak force compared to other forces.
• Investigated the implications of electroweak symmetry breaking on W and Z boson mass.
• Demonstrated that the weak force alters particle identity through a descriptor flip, not momentum change.
• Established that short range interactions result from W and Z boson masses due to electroweak symmetry breaking.
• Discussed left-handed coupling aligned with the spinor topology of the wave signature.

Abstract