Conserved Quantities for Interacting Four Valent Braids in Quantum   Gravity
  We derive conservation laws from interactions of actively-interacting braid-like excitations of embedded framed spin networks in Quantum Gravity. Additionally we demonstrate that actively-interacting braid-like excitations interact in such a way that the product of interactions involving two actively-interacting braid-like excitations produces a resulting actively-interacting form. 
Jonahan Hackett, Yidun Wan