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γ=(1−vd2/ceff2)−1/2\gamma = (1 - v_d^2/c_{\mathrm{eff}}^2)^{-1/2}

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The second surprise is the one that keeps the inversion honest. Carlos Barceló and Gil Jannes proved in 2008 that an interferometer built entirely out of the same quasiparticles it uses to measure — its splitters, its mirrors, its rulers all made from the emergent medium rather than from anything outside it — cannot detect the drift after all, because the binding fields holding its own arms together obey the same emergent wave equation as the signal racing through them, and the arms contract by exactly the factor γ\gamma = (1 - vd2v_d^2/ceff2c_{\mathrm{eff}}^2)^{-1/2} needed to cancel the timing shift [ 9 ] . That result is not this paper’s discovery — it is Barceló and Jannes’ theorem, cited here at…

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ceff2c_{\mathrm{eff}}^2

Symbol c_eff^2

cec_eff2f^2 is one of the signed contributions combined to compute the quantity on the left.

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γ=(1−vd2/ceff2)−1/2\gamma = (1 - v_d^2/c_{\mathrm{eff}}^2)^{-1/2}

Equation 47 · Crossed Fields

Every Crystal Has Its Own Speed of Light

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

The second surprise is the one that keeps the inversion honest. Carlos Barceló and Gil Jannes proved in 2008 that an interferometer built entirely out of the same quasiparticles it uses to measure — its splitters, its mirrors, its rulers all made from the emergent medium rather than from anything outside it — cannot detect the drift after all, because the binding fields holding its own arms together obey the same emergent wave equation as the signal racing through them, and the arms contract by exactly the factor γ\gamma = (1 - vd2v_d^2/ceff2c_{\mathrm{eff}}^2)^{-1/2} needed to cancel the timing shift [ 9 ] . That result is not this paper’s discovery — it is Barceló and Jannes’ theorem, cited here at…

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