Being the best and most accurate theory of gravity, Einstein’s general relativity did not resolve Mach’s principle. On the other hand, nobody gave Archimedes a place to stand so he can displace the world with his rigid lever. However, if ever there was two people separated by time and space but yet were both talking about the same thing using different physical principles Mach and Archimedes would fit perfectly.
Although Mach in 1916 when he was 78 years old was going to write a book refuting general relativity he died suddenly. He failed to give a physical explanation of how inertia and inertial forces of local matter were caused by interactions with distant global matter (galaxies, quasars, and black holes). This question was raised by Newton’s bucket experiment. Newton never solved the puzzle. It is still a puzzle today.
Archimedes was not boasting about what he can do. His power of mental concentration did give the impression that he might be crazy for jumping out of bathtub running the street shouting eureka! Eureka!
What both were saying is that there is an unbreakable connection between the very small and the very large, zero mass and infinite mass, zero energy and infinite energy expressed in differential form as a compound inequality, ħn£¶E£mc², and in double integral as E²=òò¶y(a)´¶j(a)·¶y(b)´¶j(b).


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