I am guessing that they can't actually mean 11 spacial dimensions. Are they saying something analogous to multi-dimensional data structures? Like these things exist in 3D space but they are akin to arrays of arrays?
I wonder if it's more like 11 "dimensional analysis" dimensions, rather than space/time+ dimensions. So thinking about something complicated could mean we can process/hold 11 separate variables at a time?
The lowly byte is 8 dimensional in the Boolean domain.