Emergent Matter, Fermionic Spin, and Induced Rank-2 Gravity from Topological Wave Solitons in a Polarizable Vacuum Medium

We formulate and computationally investigate a non-perturbative effective field theory in which baryonic and leptonic matter, quantized topological charges, fermionic spin-1/2 statistics, chiral zero modes, induced rank-2 gravity, and non-singular cosmological expansion emerge from an SU(2) wave field U(x,t) in a polarizable vacuum medium, built on a Skyrme model with hidden local symmetry vector mesons, the Wess-Zumino-Witten anomaly, and Sakharov induced gravity. Simulation code and result files are included in the accompanying archive.