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Equation 130 · Part 1 · The Clock That Comes Back Wrong by Exactly Its Mass

Symbol L_rm P

LP\mathcal L_{\rm P}
LPL_{\rm P}

What this part means

LrL_rm P 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

LrL_rm P 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

…separate clauses of Einstein’s equivalence principle. The weak equivalence principle protects the laser/center-of-mass term, forcing it to be mass-independent; that is not this paper’s target, and no version of LP\mathcal L_{\rm P} challenges it. Local position invariance — the universality of clock rates across spacetime position — is the clause the internal-energy term actually probes, and it is a logically separate statement, untouched by the weak equivalence principle’s guarantee. The kill criterion for this…

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