  The outline of lattice simulations of $(2+1)D$ soliton-propagations in the
background of Weyl spinors is presented. Clifford algebra is applied on
Luescher's domain decomposition method. The Clifford algebra shows that there
are loop parts and interpolating surface parts in the Wilson's lattice action.
  We adopt the Migdal-Kadanoff prescription and the fixed point action in
momentum space of Benfatto and Gallavotti, and shows a road map for simulating
phonetic solitons in materials.
  Detections of topological anomalies (APS index) in nondestructive testing are
discussed.
