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Equation 121 · Part 2 · The Clock That Comes Back Wrong by Exactly Its Mass

subscript

LP\mathcal L_{\rm P}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

This objection is not merely an engineering difficulty to be improved away. It is close to a theorem. The weak equivalence principle — the universality of free fall, tested to extraordinary precision using exactly this kind of dual-species interferometry [ 12 ] — guarantees that the center-of-mass trajectory of a falling object cannot depend on its mass or internal composition. Since the dominant term in the standard gravimeter phase is built from that trajectory and from the laser field alone, mass is required to cancel from it; a claimed mass-dependence surviving in the leading term would itself be evidence against the weak equivalence principle, not evidence for a working mass gauge. If…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.