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[tex]\ \alpha^{-\frac{1}{2}}\ +\ \alpha^\frac{1}{2}\mu\ =\ e^{\pi^2/4}[/tex]

Where [itex]\alpha[/itex], the fine-structure constant = 1/137.03599911 (46)

and [itex]\mu=1+\frac{\alpha}{2\pi}[/itex] is Schwingers first term of the electrons

magnetic moment anomaly which is a function of [itex]\alpha[/itex] as well.

[itex]\alpha^\frac{1}{2}[/itex] is the probability for an electron to emit or absorb a photon.

Fill in 1/137.03599911 for [itex]\alpha[/itex] and you'll get for pi:

3.14159265263 which only differs in the 10th digit with the real value:

3.14159265358...

Using the exact value for pi results in a value for the fine structure

constant of: 1/137.03599952837 which is within the measurement range.

Does it mean anything? maybe, maybe not.

Regards, Hans

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# An exact(?) expression for the fine structure constant

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