Talk:Fine-structure constant/Archive 2: Difference between revisions - Wikipedia
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Line 151: == Physical representation of alpha == I'm aware of a physical representation of <math>\alpha</math> derived from purely classical means. A spherical resonator cavity in free space with radius <math>\alpha a_0</math>, where <math>a_0</math> is the [[Bohr radius]], will have free space inductance <math>L</math> and capacitance <math>C</math> such that its resonant frequency <math>\omega</math> exactly matches, to 8+ significant figures, the frequency of a photon with energy equal to the electron rest mass, <math>m_0</math>. To see this, note that <math>\omega = {1 \over \sqrt{LC}} = {1 \over \sqrt{\alpha a_0 \mu_0 \alpha a_0 \epsilon_0}}</math> = 7.7634408 x 10E20 rad/s. This frequency corresponds to a photon of energy 510998.896 eV, which is also <math>m_0</math>. | |||