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ωZ≈1.55×1021 rad s−1\omega_Z \approx 1.55\times10^{21}\ \mathrm{rad\,s^{-1}}

Why this formula appears here

set purely by the rest mass. For an electron this is ωZ\omega_Z ≈\approx 1.55×\times10^{21}\ rad s−1\mathrm{rad\,s^{-1}} , an oscillation period of roughly four zeptoseconds in the particle’s own rest frame — a boosted lab observer would clock a longer, time-dilated period by the ordinary factor γ\gamma , coordinate time and proper time parting ways in exactly the usual manner — with an amplitude of order the reduced Compton wavelength ℏ\hbar/(mem_ec) , the same length scale, twice ρM\rho_M for a spin-half particle, that bounded the Møller disk above. Schrödinger first noticed this trembling motion, zitterbewegung, in the Dirac coordinate’s equations of motion; Foldy and Wouthuysen’s 1950 canonical…

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ωZ\omega_Z

Symbol omega_Z

omegaZa_Z is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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ωZ≈1.55×1021 rad s−1\omega_Z \approx 1.55\times10^{21}\ \mathrm{rad\,s^{-1}}

Equation 71 · Evolutionary Physics

The Atlas That Refuses to Close

This equation gives an approximation: it relates the quantities while allowing an approximation.

set purely by the rest mass. For an electron this is ωZ\omega_Z ≈\approx 1.55×\times10^{21}\ rad s−1\mathrm{rad\,s^{-1}} , an oscillation period of roughly four zeptoseconds in the particle’s own rest frame — a boosted lab observer would clock a longer, time-dilated period by the ordinary factor γ\gamma , coordinate time and proper time parting ways in exactly the usual manner — with an amplitude of order the reduced Compton wavelength ℏ\hbar/(mem_ec) , the same length scale, twice ρM\rho_M for a spin-half particle, that bounded the Møller disk above. Schrödinger first noticed this trembling motion, zitterbewegung, in the Dirac coordinate’s equations of motion; Foldy and Wouthuysen’s 1950 canonical…

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