Do tensors represent inner vector spaces?

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First of all let me apologize if what I am asking is way wrong or doesn't make sense. I am not a mathematician, but I'm trying to model what I have in mind in terms of mathematics.

The systems I have can be represented by different point in a cartesian coordinate of 4 dimensions. But then some of the points in such system can themselves be a system by themselves as if lets say at point (3, 5, 6, 1) we have another instance of the system embedded in it.

Just to make it more clear imagine a list data structure in programming where its components can be either integers or another list .

My question is if tensors are what is used to represent and model such configuration? If yes how, and if not, is there any other well established mathematical object that does the job?

What about Tensor Networks?