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Equation 46 · Part 1 · The Atlas That Refuses to Close

Symbol P^mu

PμP^\mu
PμP^\mu

What this part means

PmP^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

PmP^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 observer. It says nothing yet about what happens if the observer is held fixed and the rule itself is changed; that is the next chart’s business. And it comes with two checks for free. First, a conservation check: PμP^\mu and JμνJ^{\mu\nu} , the body’s total four-momentum and total angular momentum, are identical for every observer in this comparison, since they are the Poincaré charges of one physical state and no relabeling of which point counts as “the centroid” touches them. Only the split of JμνJ^{\mu\nu} into…

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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 article section

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