# An exact? expression for the fine structure constant

1. Sep 20, 2004

### Hans de Vries

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.

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

2. Sep 20, 2004

### arivero

I supposse this is to be moderated out of LQG/strings, but still I am amazed with de Vries' numerologist ability. Perhaps it should be moved to Nuclei & Particles; there is already a copy of the post in TheorDev, and it seems too deep for the TeorDev posters... no answers there.

3. Sep 20, 2004

### arivero

BTW, the thread in "theory dev" is closed, so at least there is not multiple postings.

Note that previous developments from De Vries (the grand-grand-son of KdV fame?) were related to logarithmic scales and hyperbolic sines. One wonders if it is also the same thing here.