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ℏ/mass\hbar/\text{mass}

Why this formula appears here

Call Φ\Phi[LG\mathcal L_{\rm G}]=m\,b\mathbf b⋅\cdotv\mathbf v/ℏ\hbar the loop’s phase debt : what the representation charges for a loop the classical group considered free. The loop invariant b\mathbf b⋅\cdotv\mathbf v carries units of m2 s−1\mathrm{m^2\,s^{-1}} , exactly the units of ℏ\hbar/mass\text{mass} , so Φ\Phi is dimensionless as a phase must be, and mass is recoverable from it as

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Published contexts (1)

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ℏ/mass\hbar/\text{mass}

Equation 43 · Evolutionary Physics

The Clock That Comes Back Wrong by Exactly Its Mass

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Call Φ\Phi[LG\mathcal L_{\rm G}]=m\,b\mathbf b⋅\cdotv\mathbf v/ℏ\hbar the loop’s phase debt : what the representation charges for a loop the classical group considered free. The loop invariant b\mathbf b⋅\cdotv\mathbf v carries units of m2 s−1\mathrm{m^2\,s^{-1}} , exactly the units of ℏ\hbar/mass\text{mass} , so Φ\Phi is dimensionless as a phase must be, and mass is recoverable from it as

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