Gold Member
- 1,094
- 32
Just for the record:
[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
[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