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Published equation contexts

δc/c≃vd/ceff\delta c/c \simeq v_d/c_{\mathrm{eff}}

Why this formula appears here

The magnitude is the first surprise. In a driven or flowing lattice, the cone speed along the drift is ceffc_{\mathrm{eff}} + vdv_d in one direction and ceffc_{\mathrm{eff}} - vdv_d in the other, so the anisotropy between the along-drift and transverse directions is δ\delta c/c ≃\simeq vdv_d/ceffc_{\mathrm{eff}} — first order in the drift velocity, not the crushing second-order v2v^2/c2c^2 ∼\sim 10^{-8} that made the 1887 experiment so demanding to run and so easy to see nothing in. At a tenth of the cone speed, the anisotropy is ten percent — a signal any competent interferometer would catch on its first pass, the mirror image of the historical null result. Such anisotropies are not a fiction of the model:…

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δ\delta

Symbol delta

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cc

Symbol c

c 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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vdv_d

Symbol v_d

vdv_d 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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ceffc_{\mathrm{eff}}

Symbol c_eff

cec_eff 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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Published contexts (1)

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δc/c≃vd/ceff\delta c/c \simeq v_d/c_{\mathrm{eff}}

Equation 45 · Crossed Fields

Every Crystal Has Its Own Speed of Light

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

The magnitude is the first surprise. In a driven or flowing lattice, the cone speed along the drift is ceffc_{\mathrm{eff}} + vdv_d in one direction and ceffc_{\mathrm{eff}} - vdv_d in the other, so the anisotropy between the along-drift and transverse directions is δ\delta c/c ≃\simeq vdv_d/ceffc_{\mathrm{eff}} — first order in the drift velocity, not the crushing second-order v2v^2/c2c^2 ∼\sim 10^{-8} that made the 1887 experiment so demanding to run and so easy to see nothing in. At a tenth of the cone speed, the anisotropy is ten percent — a signal any competent interferometer would catch on its first pass, the mirror image of the historical null result. Such anisotropies are not a fiction of the model:…

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