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Equation 12 · Part 2 · The Atlas That Refuses to Close

superscript

TαβT^{\alpha\beta}
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

Naming the slice is the first entry in this atlas’s notation. Let Σ\Sigma be a spacelike hypersurface and uμu^\mu the four-velocity of the observer whose notion of simultaneity Σ\Sigma represents, with Σ\Sigma taken orthogonal to u . Replace the discrete sum with the body’s stress-energy tensor TαβT^{\alpha\beta} and define the energy centroid

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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

These citations provide research context; check each source for the exact claim it supports.