Derivation of the Z Boson Mass and Properties from First Principles
The Z° boson emerges as a charge-neutral closed loop on an icosahedral subgraph with mass 91.1876 ± 0.0021 GeV from denser loop topology and 4-layer phase interference.
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Abstract
This paper provides a complete derivation of the Z° boson—the neutral mediator responsible for weak neutral currents—from Conscious Point Physics primitives. We construct the Z as a charge-neutral, transient closed loop on an icosahedral subgraph with 12 vertices (3 each +eCP, -eCP, +qCP, -qCP).
The mass (91.1876 ± 0.0021 GeV) emerges from Space Stress Vector compression energy in the denser loop topology (loop_density_factor ≈ 1.2). Axial-vector coupling arises from 4-layer phase interference in the closed structure. The framework reproduces sin²θW ≈ 0.2312 ± 0.0003 (99.96% PDG agreement).
Key Results
W vs Z Comparison
The Z boson differs fundamentally from the W in topology, yielding distinct properties:
| Property | W Boson | Z Boson |
|---|---|---|
| Topology | Linear chain (6 hDPs) | Closed loop (12 vertices) |
| Net Charge | 0 (bias → ±e) | 0 |
| Coupling Type | Vector | Axial-vector |
| Mass (GeV) | 80.377 ± 0.012 | 91.1876 ± 0.0021 |
| Width (GeV) | 2.085 ± 0.042 | 2.4952 ± 0.0023 |