Equation 6 · The Vacuum Has a History: Symmetry Breaking as Speciation
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Symbol mu^2
m is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.
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
. The sign of the mass term is the entire mechanism. With < 0 the origin would be the unique minimum and there would be nothing to discuss; it is the negative mass-squared term, an assumption built into the Standard Model’s Higgs sector rather than derived from a deeper principle, that manufactures the trough in the first place. Nothing in the Lagrangian singles out any point on that trough. A system placed at the unstable summit will roll downhill in a direction fixed only by whatever infinitesimal fluctuation happens to nudge it first, and the direction it lands on becomes, from that moment, the vacuum every subsequent measurement will be made against.
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