Part III: The Electroweak Arc

Part Overview

Forces are not the story—they are tools for the story. The complexity arc that began with the neutron (Part I) and continued through quantum mechanics (Part II) now requires gauge machinery: the electromagnetic and weak sectors of the E₁ spectral page.

Part III traverses the electroweak arc. the relevant chapter derives gauge invariance from the lemniscate topology and obtains the τ-Maxwell equations as curvature identities of the U(1) connection. Chapters – develop the weak force: parity violation from junction orientation, the W/Z bosons as junction modes, and the neutrino as a τ¹ time eigenmode. Chapters – earn the Weinberg angle sin²θ_W = ι_τ(1 - ι_τ) at tree level and the τ-Higgs mechanism at the ω-crossing. the relevant chapter unpacks the continued-fraction structure of the derived constants, and the relevant chapter closes the arc with the complete coupling cascade: zero free continuous parameters, precision agreement, and the ontological lesson that particles are modes, forces are holonomies, and only τ³ is fundamental.

Chapters

• Chapter 21: Gauge Invariance and the τ-Maxwell Equations
• Chapter 22: The Weak Force and Chirality
• Chapter 23: Weak Holonomy and the W/Z Bosons
• Chapter 24: The Neutrino as Time Eigenmode
• Chapter 25: Electroweak Mixing
• Chapter 26: The τ-Higgs Mechanism
• Chapter 27: The Weinberg Angle and CF Encodings
• Chapter 28: Electroweak Synthesis