What question did this study set out to answer?

This study aims to derive the weak mixing angle from the geometry of microtubules.

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March 8, 2026Open Access

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

We derive the weak mixing angle from the Fibonacci geometry of microtubules and the golden ratio. The primary result ²\! hetaW = arphi/7 = 0. 23115 matches the experimental value 0. 23122 0. 00003 to 0. 03\%. An equivalent discrete expression ²\! hetaW = F₄/F₇ = 3/13 = 0. 23077 (error

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Jason W. (Sat,) studied this question.

synapsesocial.com/papers/69ada8a1bc08abd80d5bbca1 https://doi.org/https://doi.org/10.5281/zenodo.18899287