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Equation 58 · Part 1 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol H

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

What this part means

the energy operator for a system at rest.

Its job in the formula

H is part of the quantity the equation computes from the expression on the right.

Where the article explains it

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 passage around this formula

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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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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Sources cited in the article section

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