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For an explanation of action at a distance from Einstein plus a little of his magic see the first paragraph of chapter 19:
http://www.bartleby.com/173/19.html
I'm not sure I can agree to partial validity. I'm not eliminating waves, just avoiding attribution of wavehood to particles.
Since I have assumed gravity to be an attribute of eternal particles, gravity is also eternal. Movement of the particle entails instantaneous movement of its gravity, as movement of one end of a stick entails instantaneous movement of the other end.
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