The Weinberg Angle from Microtubule Lattice Geometry:

Key Points

• This study aims to derive the weak mixing angle from the geometry of microtubules.
• Utilized Fibonacci geometry
• Analyzed the golden ratio
• Derived and compared to experimental values
• Calculated $ ext{sin}^2 \theta_W = \phi/7 = 0.23115$
• Matched experimental value of $0.23122 \pm 0.00003$ within $0.03\%$
• Provided a discrete expression $ ext{sin}^2 \theta_W = F_4/F_7 = 3/13 = 0.23077$

Abstract