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Equation 4 · Part 1 · The Corner of the Equivalence Principle No Experiment Has Touched

Symbol hat H_int

H^int\hat H_{int}
H^int\hat H_{int}

What this part means

hat HiH_int 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

hat HiH_int 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

…as equivalence between its rest, inertial, and gravitational internal-energy operators 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…

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