Equation 49 · Part 2 · The Clock That Comes Back Wrong by Exactly Its Mass
Symbol L_rm G
What this part means
m G 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
m G is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol L_rm G→Article meaning
The passage around this formula
Nothing about this phase disturbs conservation of energy or momentum, and it is worth saying explicitly why. [] does not come from a new term added to any Hamiltonian; it comes from how already-unitary translation and boost operators compose. Each operator in the product T()G()T(-)G(-) conserves probability on its own, and the product of unitaries is unitary regardless of whether the factors commute, so the loop as a whole still conserves probability and leaves every expectation value of energy and momentum exactly where an ordinary, non-extended calculation would put it. What changes is not a conserved quantity but the bookkeeping of…
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
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