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Equation 7 · Part 2 · The Corner of the Equivalence Principle No Experiment Has Touched

Symbol eta_cl

η^=ηcl+η^diag+η^coh+η^sup+η^ent\hat\eta = \eta_{cl} + \hat\eta_{diag} + \hat\eta_{coh} + \hat\eta_{sup} + \hat\eta_{ent}
ηcl\eta_{cl}

What this part means

an ordinary number, the same for every state — MICROSCOPE’s slot.

Its job in the formula

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

Where the article explains it

ηcl\eta_{cl} is an ordinary number, the same for every state — MICROSCOPE’s slot.

The passage around this formula

…violation operator η^\hat\eta acting on the internal, and for two-body tests the joint, Hilbert space. Expand that operator and, the paper argues, exactly five structurally distinct pieces fall out: η^=ηcl+η^diag+η^coh+η^sup+η^ent\hat\eta = \eta_{cl} + \hat\eta_{diag} + \hat\eta_{coh} + \hat\eta_{sup} + \hat\eta_{ent}. ηcl\eta_{cl} is an ordinary number, the same for every state — MICROSCOPE’s slot. η^diag\hat\eta_{diag} is diagonal in the internal energy basis: it can make a clock in one internal state fall differently from the same species in another, which is what a clock-redshift test or a test comparing atoms…

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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

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