Euclidian geomtry has no problem with the universe so long as travel time is instanteous and we see all objects exactly where they really are. We don't, of course. Light travels at a finite speed and so we see objects as they were in the past. Even close objects such as Jupiter. In fact calculating where Jupiter 'should be' compared to where we see it was one of the ways in which the speed of light was first calculated.

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"Patriotism is supporting your country all of the time... and your government when it deserves it." - Mark Twain