petrushkagoogol Posted February 25, 2016 Report Share Posted February 25, 2016 Could space exist as a series of nested physical dimensions ? 3 D with each dimension having N nested dimensions. Quote Link to comment Share on other sites More sharing options...
CraigD Posted February 26, 2016 Report Share Posted February 26, 2016 Could space exist as a series of nested physical dimensions ?I can’t imagine how. I’ve only seen the term “nested dimensions” used in the context of computer data structures, where dimensions has a different meaning than in mathematical physics. For example, in MUMPS, a storageref like A(1,x,2,y,3,z) can be “nested” in by making storagerefs like A(1,x,1.1,xx,1.2,xy,1.3,xz) Physically, and space with at least Galilean relativity can’t have spatial “preferred dimensions” – that is, it must allow coordinate system rotations that can exchange dimensions – so hierarchies like the above aren’t allowed. So “3 D with each dimension having N nested dimension” must be identical to 3n D. Quote Link to comment Share on other sites More sharing options...
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