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Equation 63 · Part 1 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol H_rm NR

⟨HNR⟩\langle H_{\rm NR}\rangle
HNRH_{\rm NR}

What this part means

HrH_rm NR 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

HrH_rm NR 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

Holding b\mathbf b , v\mathbf v , M , and ⟨\langle HNRH_{\rm NR}⟩\rangle fixed and sending c→\to∞\infty , the second term vanishes and the first survives unchanged, converting a state-dependent relativistic phase into a fixed, universal constant multiplying every vector in the fixed- M sector — Bargmann’s central charge, reconstructed as the low-velocity limit of a quantity that was never central to begin with. This is exactly the contraction procedure Inönü and Wigner formalized for groups and their representations in general [ 3 ] , applied here to one specific commutator rather than asserted as a general slogan. The nonrelativistic mass superselection rule is, on this reading, the shadow a fully…

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Sources cited in the surrounding passage

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