Equation 12 · The Atlas That Refuses to Close
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an energy-momentum density, units of energy per volume. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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superscript
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.
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What the article says around this equation
Naming the slice is the first entry in this atlas’s notation. Let be a spacelike hypersurface and the four-velocity of the observer whose notion of simultaneity represents, with taken orthogonal to u . Replace the discrete sum with the body’s stress-energy tensor and define the energy centroid
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