Wednesday 17 August 2016

spacetime - How do we know we live in 3 dimensions?



How do we know that we are really living in 3 dimensional world?


We can draw 3D in a paper that is one dimension. So, maybe the world around us just looks 3D! how can we prove that we're living in 3 dimensional world not one dimensional?



Answer



The simple proof is that you can tie your shoelaces.


This is a proof because you can only tie a knot in an (approximately) 1D object in three dimensions. In lower than three dimensions it's impossible because that would require the shoelace to self intersect. In higher than three dimensions it's impossible because there's always a way for the knot to untie itself.


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