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$\langle H_{\rm NR}\rangle$

Why this formula appears here

Holding $\mathbf b$ , $\mathbf v$ , M , and $\langle$ $H_{\rm NR}$ $\rangle$ 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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H_{\rm NR}

Symbol H_rm NR

$H_r$ m NR is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Published contexts (1)

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\langle H_{\rm NR}\rangle

Equation 63 · Evolutionary Physics

The Clock That Comes Back Wrong by Exactly Its Mass

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Holding $\mathbf b$ , $\mathbf v$ , M , and $\langle$ $H_{\rm NR}$ $\rangle$ 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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⟨HNR⟩\langle H_{\rm NR}\rangle⟨HNR​⟩