A Continuous Elastic Medium Theory: Emergent Gauge Symmetries, Soliton Particles and Unification of Gravitation and Strong Interaction

This work proposes a Continuous Elastic Medium Theory (CET). All elementary particles are interpreted as topological solitons formed in the nonlinear region of a fundamental continuous elastic background medium. Microscopic solitons correspond to hadrons, dominated by short-range emergent interactions identified as the strong force; large-scale macroscopic solitons correspond to black holes, whose long-range gradient perturbation produces gravitational effects.U(1), SU(2) and SU(3) gauge symmetries are not fundamental axioms but collective dynamic modes emerging from medium vortex structures. The theory provides a unified framework for strong interaction and gravitation across scales.We analyze the formation conditions, stability range of solitons, wave propagation characteristics inside and outside soliton structures, and discuss cosmic evolution originating from medium fluctuations. Observable experimental predictions and follow-up numerical simulation schemes are proposed for future verification.