Toward a Solitonic Foundation of Matter and Spacetime

This article outlines a research programme to unify the Standard Model and General Relativity using topological solitons. Grounded in a recent rigorous result demonstrating fermionic quantization in restricted Skyrme-type models, the paper defines a mathematically precise path forward. It translates core physical concepts—matter, forces, and gravity—into a set of concrete, open problems concerning emergent gauge fields and spacetime geometry, proposing a solitonic foundation for all known physics.