The nuclear forces consist of a 2 or 3 dimensional subset of our 4D space-time. They may however rotate in 4D and thus occupy any of the 4 dimensions at a given moment. Compare this with the Lorentz boost in Euclidean relativity that rotates our 3D space in SO(4) when accelerating (see Section 2 in [4]).
The list may continue with fields that have 6 or more dimensions but have so far not been observed. There may also be a 1-dimensional field with hitherto unknown properties. I dare to suggest that even 0-dimensional and negatively-numbered-dimensional fields exist. After all, who are we to say that our familiar 4 dimensions are at the bottom of the list? The fact that we number them 1 - 4 doesn't mean a thing. We could have numbered them 2.356 - 2.359 just as well. If we can't see the fifth dimension why would we be able to see dimension 0 or dimension -12 ?

Our own 4D slice popping in existence during an ever-lasting Big Bang, creating a universe with infinite dimensions

Imagine now a being that is able to observe dimensions -1, 0, 1 and 2 (so also four in total). For that being, the picture is complete for his four forces, making our weak nuclear force look like electromagnetism in the eyes of this "shifted-dimensional" being. Similarly, what we call gravity may be any other kind of field for another shifted-dimensional being. This makes the model partly relational, or background-independent. Depending on one's place on the "ladder", the lower dimensions are mutually indiscernible and relational, while the higher dimensions form an absolute background. However, for a hypothetical being with infinite-dimensional observational skills, all dimensions are relational.

So is this all nonsense? Looking at recent articles on braneworlds, induced matter theories, supersymmetry and so on, these ideas do not seem to be any more exotic whatsoever. The more spiritual minded reader may even recognize in this model ancient descriptions of 'layered' worlds.
And what if individual dimensions were created a fraction after each other in climbing order? That process might still be ongoing with the creation of yet more higher dimensions. Our Big Bang as a snapshot in an ever-lasting Bang that started much earlier already?

The next sections will discuss some additional details that may be deduced from the basic principles that have been worked out in the previous sections.

Next: 6. Photons free quarks Up: Fractal Universe Previous: 4. Fermions and bosons