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Equation 44 · Part 1 · The Atlas That Refuses to Close

Symbol X^mu

Xμ(u,Σ)X^\mu(u,\Sigma)
XμX^\mu

What this part means

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

Its job in the formula

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

The passage around this formula

…S|\,v saturates when the spin is perpendicular to the boost. No boosted observer, however extreme, can push a body’s own centroid further from its rest-frame value than ρM\rho_M . As u ranges over every inertial observer, Xμ(u,Σ)X^\mu(u,\Sigma) traces out a disk of exactly that radius, orthogonal to S\mathbf S — the world-tube first identified by Møller and reproduced in modern language by Costa and Natário’s review of spin supplementary conditions [ 13 ] .

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An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

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