Either side of a say 11d hyper-bolic vertex's the cone surface leads to say a quartic curve from an 11 dimensional curve.
the question is for this trans dimensional curve is can you get it to fit such that lets 11 dimensions at one end and 4 dimensions be at the other end and can you fit a dimensional transition model to the plank length upto the scale of the visible universe. This could help with optimal modelling and fitting of string theory and other models to real world physics.
One very intrinsic curve on such a graph matched with all the real world data, Like a warp graph measuring dimensional warp from quantum HDim to Marco SDim.
Once properly fitted with reality this view could help us advance with warp enhanced technologies unless 4d is true at all scales of reality and we need a 4d model for modelling the smallest properties.