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d(x,y)d(x,y)

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where C and ξ\xi are constants fixed by the microscopic couplings and d(x,y) is the distance between the two sites on the lattice [ 1 ] . Outside the cone, where d(x,y) exceeds cLRc_{\mathrm{LR}} t , the right-hand side collapses toward zero; inside it, the inequality simply has nothing to say. The velocity cLRc_{\mathrm{LR}} plays exactly the causal role the vacuum speed c plays in relativity, with one difference that matters for everything that follows: it is a property of the material, not of empty space, and it changes from one lattice to the next.

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d(x,y)d(x,y)

Equation 9 · 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.

where C and ξ\xi are constants fixed by the microscopic couplings and d(x,y) is the distance between the two sites on the lattice [ 1 ] . Outside the cone, where d(x,y) exceeds cLRc_{\mathrm{LR}} t , the right-hand side collapses toward zero; inside it, the inequality simply has nothing to say. The velocity cLRc_{\mathrm{LR}} plays exactly the causal role the vacuum speed c plays in relativity, with one difference that matters for everything that follows: it is a property of the material, not of empty space, and it changes from one lattice to the next.

Meanings in this article

  • dd: the distance between the two sites on the lattice [ 1 ].
Equation guide → · Article →
d(x,y)d(x,y)

Equation 10 · 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.

where C and ξ\xi are constants fixed by the microscopic couplings and d(x,y) is the distance between the two sites on the lattice [ 1 ] . Outside the cone, where d(x,y) exceeds cLRc_{\mathrm{LR}} t , the right-hand side collapses toward zero; inside it, the inequality simply has nothing to say. The velocity cLRc_{\mathrm{LR}} plays exactly the causal role the vacuum speed c plays in relativity, with one difference that matters for everything that follows: it is a property of the material, not of empty space, and it changes from one lattice to the next.

Meanings in this article

  • dd: the distance between the two sites on the lattice [ 1 ].
Equation guide → · Article →