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Just for the record:
\ \alpha^{-\frac{1}{2}}\ +\ \alpha^\frac{1}{2}\mu\ =\ e^{\pi^2/4}
Where \alpha, the fine-structure constant = 1/137.03599911 (46)
and \mu=1+\frac{\alpha}{2\pi} is Schwingers first term of the electrons
magnetic moment anomaly which is a function of \alpha as well.
\alpha^\frac{1}{2} is the probability for an electron to emit or absorb a photon.
Fill in 1/137.03599911 for \alpha 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
\ \alpha^{-\frac{1}{2}}\ +\ \alpha^\frac{1}{2}\mu\ =\ e^{\pi^2/4}
Where \alpha, the fine-structure constant = 1/137.03599911 (46)
and \mu=1+\frac{\alpha}{2\pi} is Schwingers first term of the electrons
magnetic moment anomaly which is a function of \alpha as well.
\alpha^\frac{1}{2} is the probability for an electron to emit or absorb a photon.
Fill in 1/137.03599911 for \alpha 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