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Equation 5 · Part 3 · The Corner of the Equivalence Principle No Experiment Has Touched

Symbol hateta

mg=mi(1+η^)m_g = m_i(1 + \hat\eta)
η^\hat\eta

What this part means

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

Its job in the formula

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

The passage around this formula

…between their average values [ 1 ] . Model that operator, call it M^\hat M , as M^\hat M = m(1 + H^int\hat H_{int}/mc2c^2) , where H^int\hat H_{int} is the system’s internal Hamiltonian, and let the gravitational mass be mgm_g = mi(1+η^)m_i(1 + \hat\eta) for some 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:

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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 surrounding passage

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