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*“The outcome of any local non-gravitational experiment in a freely falling laboratory is independent of the velocity of the laboratory and its position in spacetime.”*

I’m trying to make sure I’ve understood this correctly. I’m I correct to say that the EEP implies that all forms of non-gravitational energy fall at the same rate in a gravitational field and consequently that all non-gravitational laws of physics hold in the presence of a gravitational field, in particular, locally they take on the form they have in special relativity?