The Hyparxis theory supposes that all the matter around us is actually described by 4D soliton knots one dimension up from us in a 4D Wess-Zumino-Witten space, which couple to the Skyrme field via a "Skyrme-Faddeev bridge", in a background of non-propagating Einstein-Cartan torsion. Therefore, any given Berry phase or Baryon number is just a Chern number of a 4D knot. All the matter around us? Shadows of 4D knot invariants that can't be torn apart because they're topologically stable and linked together in huge hypertrees that behave like self-tending Markov chains.