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Equation 59 · 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

The first, the covariant centre of energy, transforms simply as the spatial part of a four-vector under a change of Lorentz frame — exactly the property Xμ(u,Σ)X^\mu(u,\Sigma) was built with above — but its three spatial components fail to commute with each other once spin is present, by an amount proportional to the spin itself. The second, constructed by Newton and Wigner for exactly this purpose and reproduced in Pryce’s classification as a distinct…

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Learn the underlying idea

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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