I am afraid we now get to a hand-waving chapter.
I am writing this before discovering any stable patterns in my 6-dimensional simulations. The simulations produce a lot of data and we must know what patterns to expect so we can recognise the patterns corresponding to particles when we see it.
We will first talk generally about worlds sideways in time, so see how multiple dimensions would manifest themselves.
Then we briefly describe the particles that are known today.
After that we describe now the 5 particles that exist in 6 dimensions might appear.
Finally we propose in vague terms how the particles that involve the weak force might appear as patterns in 30 dimensions.