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Equation 73 · Part 2 · The Atlas That Refuses to Close

Symbol c

ℏ/(mec)\hbar/(m_ec)
cc

What this part means

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

Its job in the formula

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

The passage around this formula

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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Sources cited in the surrounding passage

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