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I found this thread very interesting.
It seems silly for me to offer a comment given my lack of grip on the concept space time... I realise there are specific math implications... however the question was...........
"Has anyone managed to find a mental trick to assist in visualising a curved space?"
So I offer how I "see" space in a geometric visualisation..up and down to me are irrelevant so the problem with the ant is lost on me...
Still I feel space can be looked at like a barometric map..but in 3d.. start with a visualisation of a 3d grid...make the cubes any size... but all the same size..this is unbent space... as you get closer to mass the grid becomes smaller...making greater gravity in effect...but as everything is moving none of the grid lines remain straight and across the expanses of space would probably resemble more smoke drifting in a light breeze... the complexity of the various curvatures would see one having trouble then holding to a regular grid but one that is distorted greatly...
Also for who ever can field this one....IF Earth does not curve space how does GR give us our gravity???
alex
alex
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