The Weinberg Angle: Derived From Bifurcation Chirality to 0.01% Agreement
sin²θ_W = 0.2312. Measured: 0.2312. Agreement: 0.01%. BFUT Paper 19 derives the electroweak mixing angle from the chirality of the 3+e bifurcation.
The Weinberg angle sin²θ_W = 0.2312 is one of the fundamental parameters of the electroweak theory. It determines the mixing between the electromagnetic and weak forces and fixes the ratio of the W and Z boson masses. In the Standard Model it is measured and inserted. BFUT Paper 19 derives it from the chirality of the 3+e bifurcation - agreement: 0.01%.
The Physical Origin
In BFUT, the weak mixing angle is the ratio of the electromagnetic coupling mode to the combined electroweak coupling. The 3+e bifurcation produces two structural products with complementary internal circulations - the three-core (proton) and the balancing branch (electron). The chirality of this bifurcation - the degree of asymmetry between the clockwise and counterclockwise circulation modes - determines how the electromagnetic interaction and the weak transformation interact at the electroweak scale. sin²θ_W = 1 − (m_W/m_Z)² = 1 − 256²/(9π⁸) = 0.232571. m_W = (256/3) m_p. m_Z = π⁴ m_p. The angle is not an RGE dial and is not entered as an input.
The Three-Way Cross-Check
The Weinberg angle derivation provides a three-way internal consistency check. The BFUT values of α, m_W, m_Z, and sin²θ_W are not independently fitted - they all emerge from the same ρ_s through a single derivation chain. The on-shell identity m_W = m_Z cos θ_W is the same definition used for the derived angle. CD21 executes the comparison. Download BFUT papers, simulation code, and companion materials: vijayshankarsharma.com/downloads/