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Equation 31 · Part 2 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol i

X=−ib⋅P/ℏX=-i\mathbf b\cdot\mathbf P/\hbar
ii

What this part means

i is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

i is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

That triviality is what makes the loop phase exact rather than approximate. Write X=-ib\mathbf b⋅\cdotP\mathbf P/ℏ\hbar and Y=-iv\mathbf v⋅\cdotK\mathbf K/ℏ\hbar . Their commutator is

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Learn the underlying idea

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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