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Equation 51 · Part 6 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol H

[Ki,Pj]=iℏc2 δij H,[K_i,P_j]=\frac{i\hbar}{c^2}\,\delta_{ij}\,H,
HH

What this part means

the total energy operator [ 2 ].

Its job in the formula

H is an input to the expression that computes the quantity on the left.

Where the article explains it

where H is the total energy operator [ 2 ] .

The passage around this formula

…is why ordinary relativistic quantum mechanics gets along without any of this. Run the identical calculation on the Poincaré group. The relativistic analogue of the boost–momentum commutator is [Ki,Pj]=iℏc2 δij H[K_i,P_j]=\frac{i\hbar}{c^2}\,\delta_{ij}\,H. where H is the total energy operator [ 2 ] . The right-hand side is not proportional to the identity. It is proportional to H , an operator with a spectrum, different on every energy eigenstate. Repeating the loop calculation of the previous section on a state with sharp energy ⟨\langle H⟩\rangle gives a…

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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 surrounding passage

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