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Equation 15 · Part 1 · Every Crystal Has Its Own Speed of Light

Symbol α

α\alpha
α\alpha

What this part means

pushed toward zero, toward an interaction that barely decays with distance at all, the velocity is consistent with growing without bound, and the light-cone picture stops holding [ 3 ].

Its job in the formula

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

Where the article explains it

At short range the measured velocity agrees with the ordinary nearest-neighbour prediction; as α\alpha is pushed toward zero, toward an interaction that barely decays with distance at all, the velocity is consistent with growing without bound, and the light-cone picture stops holding [ 3 ] .

The passage around this formula

…and watch the cone respond. Philip Jurcevic and collaborators encoded a tunable-range Ising model on chains of trapped calcium-40 ions, with couplings falling off as 1/|i-j|^{α\alpha} for an adjustable exponent α\alpha , and extracted the fastest magnon velocity the resulting dispersion supports. At short range the measured velocity agrees with the ordinary nearest-neighbour prediction; as α\alpha is pushed toward zero, toward an interaction that barely decays with distance at all, the velocity is…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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