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Richard Feynman made the following statement:

the relationship between the gravity forces and electrical forces remains unknown

in the interview linked here.

In context, he made this statement partly as to contrast the well-known relationship between magnetism & electricity.

As I have read, the energy in the electromagnetic field contributes to gravity by affecting spacetime curvature, which surely Feynman would have understood. So what might he have been referring to instead?

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the energy in the electromagnetic field contributes to gravity by affecting spacetime curvature, which surely Feynman would have understood

That's for sure.
I think he meant if gravity can be derived from the e.m. field, or the other way round. In the twenties (of last century, obviously), Kaluza and Klein proposed a five-dimensional spacetime to include electromagnetism (not knowing they laid the foundations for modern string theory). You can Google for this theory.

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