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H=Mc2+HNRH=Mc^2+H_{\rm NR}

Why this formula appears here

The two pictures are not independent theories that happen to share a symbol. The Galilei phase is the c→\to∞\infty residue of the Poincaré non-extension, and the residue can be taken explicitly rather than asserted. Write the energy operator for a system at rest as H=Mc2c^2+HNRH_{\rm NR} , separating the rest energy from whatever nonrelativistic energy — kinetic, internal — sits on top of it. The relativistic loop phase becomes

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HNRH_{\rm NR}

Symbol H_rm NR

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

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H=Mc2+HNRH=Mc^2+H_{\rm NR}

Equation 58 · Evolutionary Physics

The Clock That Comes Back Wrong by Exactly Its Mass

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

The two pictures are not independent theories that happen to share a symbol. The Galilei phase is the c→\to∞\infty residue of the Poincaré non-extension, and the residue can be taken explicitly rather than asserted. Write the energy operator for a system at rest as H=Mc2c^2+HNRH_{\rm NR} , separating the rest energy from whatever nonrelativistic energy — kinetic, internal — sits on top of it. The relativistic loop phase becomes

Meanings in this article

  • HH: the energy operator for a system at rest.
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