Nested Dimensional Space

[petrushkagoogol]

Could space exist as a series of nested physical dimensions ? 3 D with each dimension having N nested dimensions.

[CraigD]

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.