Published equation contexts

$v=0$

Why this formula appears here

This is the atlas’s first transition function, and it is worth stating exactly what it does and does not compare. It holds the spin supplementary condition — the rule that picks out a unique centroid once an observer is specified — completely fixed, and varies only 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: $P^\mu$ and $J^{\mu\nu}$ , 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…

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v

Symbol v

v is part of the quantity the equation computes from the expression on the right.

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How to interpret it

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Research cited beside this formula

[13] Center of Mass, Spin Supplementary Conditions, and the Momentum of Spinning Particles ↗

Published contexts (1)

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v=0

Equation 54 · Evolutionary Physics

The Atlas That Refuses to Close

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

This is the atlas’s first transition function, and it is worth stating exactly what it does and does not compare. It holds the spin supplementary condition — the rule that picks out a unique centroid once an observer is specified — completely fixed, and varies only 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: $P^\mu$ and $J^{\mu\nu}$ , 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…

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v=0v=0v=0