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

Paper V of the Relational Geometric Mechanics series. Derives the weak nuclear force from the SU(2) doublet phase component of the RGM wave signature. The weak force is shown to be qualitatively distinct from the other three forces: it changes particle identity through a descriptor flip rather than changing particle momentum. Short range follows from the mass of the W and Z bosons arising from electroweak symmetry breaking of the QF foam. Left-handed coupling is discussed as consistent with the spinor topology of the wave signature. The full W and Z mass derivation is deferred to the generation structure papers.