The 3 +1 dimensions of space-time and two-element numbers

The hyperbolic number plane as space-time model is very intuitive, if the space is used only in one dimension. A lack arises however, since we perceive the space as three-dimensional one. Thus we would like to have a kind of numbers – possibly more-element numbers – that it is correctly model the four-dimensional space-time. Yet I think it is far away enough to get a generalization of number concept which includes the two-element numbers presumably as its fundamentals. The geometry helps for this generalization in my opinion but by that I mean the idea is not exactly what today is known as the geometric concept of numbers. In order to develop this concept of numbers I would like to think through our ideas of dimensions.

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