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Penning trap upper limit for the electron particle radius:

[tex]r_e \leq 10^{-22} \; \text{m}[/tex]

QED Compton wavelength electron radius:

[tex]\boxed{r_e = \alpha_e \overline{\lambda}_c}[/tex]

QED Compton electron radius:

[tex]\boxed{r_e = \frac{\hbar \alpha_e}{m_e c}}[/tex]

QED electron fine structure constant:

[tex]\alpha_e = \frac{r_e}{\overline{\lambda}}_c = \frac{m_e c r_e}{\hbar}[/tex]

[tex]\boxed{\alpha_e = \frac{m_e c r_e}{\hbar}}[/tex]

Weak nuclear fine structure constant:

[tex]\alpha_w = \sqrt{ \frac{T_{\Delta}}{T_{\Sigma}}} = 2.738 \cdot 10^{-7}[/tex]

[tex]T[/tex] - Delta and Sigma particle lifetimes

[tex]\boxed{\alpha_e = 2.589 \cdot 10^{-10}}[/tex]

[tex]\boxed{\alpha_w = 2.738 \cdot 10^{-7}}[/tex]

The QED electron fine structure constant magnitude corresponds with the weak nuclear fine structure constant.

How is [tex]\alpha_w[/tex] measured via weak [tex]\beta[/tex] decay?

Are these equations correct?

Reference:

http://en.wikipedia.org/wiki/Electron#Fundamental_properties"

http://en.wikipedia.org/wiki/Weak_nuclear_force" [Broken]

http://hyperphysics.phy-astr.gsu.edu/HBASE/forces/couple.html#c4"

http://hyperphysics.phy-astr.gsu.edu/HBASE/particles/weastr.html#c1"

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