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Equation 4 · Part 1 · No Particle Without a Cosigner

Symbol tilde a

a~\tilde a
a~\tilde a

What this part means

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

Its job in the formula

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

The passage around this formula

When any of the coefficients βjk\beta_{jk} is nonzero, the vacuum of the a -decomposition is a many-particle state of the a~\tilde a -decomposition, and vice versa: “how many particles are present” is a question whose answer depends on which set of modes was declared fundamental, not on the field configuration by itself. Fulling showed this could happen already in flat, static coordinates on two-dimensional Minkowski…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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