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For your consideration, from Nature magazine
http://www.nature.com/nsu/030728/030728-3.html
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"Objects travelling at close to the speed of light appear to get shorter
when viewed by stationary observers. But from the viewpoint of those on
the moving object, the observers - who are receding at close to the
speed of light - appear shortened instead. Other dimensions remain the
same.
When these notions are applied to a submarine just below the water's
surface, an inconsistency seems to arise. Spectators on an anchored ship
would see the submarine shrink as it moves parallel to the surface at
near-light speed. The resulting density increase would sink the vessel.
The submarine crew would see the opposite: water rushing past them would
contract and get denser, making the submarine more buoyant and causing
it to rise.
Relativity insists that both viewpoints are equally valid - so does the
sub sink or swim?"