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It sinks, says George Matsas of the State University of São Paulo in Brazil. He has used the theory of general relativity to include the effect of the different reference frames on the space-distorting force of gravity. Although the surrounding water does look denser to submariners, they also experience gravity as being stronger, creating a net downward force. “The general relativistic extension of the Archimedes law for moving bodies shows that the submarine sinks.”
Relativistic Archimedes law for fast moving bodies and the general-relativistic resolution of the “submarine paradox”.
Matsas, GEA.
Physical Review D 68: 027701 (2003).
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