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Equation 5 · Part 1 · The Corner of the Equivalence Principle No Experiment Has Touched

Symbol m_g

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

What this part means

mgm_g is part of the quantity the equation computes from the expression on the right.

Its job in the formula

mgm_g is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…rather than 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 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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