Equation 125 · The Atlas That Refuses to Close
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
split into an orbital part and a spin part. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
superscript
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.
See an illustrated explanation →How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
What none of these three charts ever disputes is and , 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 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.
For background, read the article’s source list.