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Equation 125 · Part 1 · The Atlas That Refuses to Close

Symbol J^munu

JμνJ^{\mu\nu}
JμνJ^{\mu\nu}

What this part means

split into an orbital part and a spin part.

Its job in the formula

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

Where the article explains it

Every version of “where” argued about above is a statement about how JμνJ^{\mu\nu} is split into an orbital part and a spin part; the sum is never in question.

The passage around this formula

What none of these three charts ever disputes is PμP^\mu and JμνJ^{\mu\nu} , the body’s total four-momentum and total angular momentum, the two Poincaré charges no relabeling of “centroid” touches. Every version of “where” argued about above is a statement about how JμνJ^{\mu\nu} is split into an orbital part and a spin part; the sum is never in question. That is the single invariant this entire atlas, sharp and operational charts alike, is built on top of: physics agrees completely on what the body has, mass, momentum, energy, and spin, and only argues about which point should be credited with carrying the orbital share of the angular momentum.

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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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See this notation across published equations →

The article lists its research sources here.