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Simulating various spacetime topologies ?

Widdekind
in Astronomy and Cosmology

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According to the video The Shape of Space (VHS), a 3D hyper-torus can be represented, by a "fundamental unit" cube of space, which is "glued" to itself, such that each pair of opposite sides are made to be mathematically contiguous & identical.

 

Could you not, then, by suitable manipulations of the size, shape, and "boundary conditions", of computer simulations, simulate various topologies for spacetime (hyper-torus, hyper-sphere, etc) ?

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