First-Principle Unified Theory Solving the World's Ten Major Mathematical Problems

Based on the first-principle unified theory of light strings, this paper takes the intrinsic structure of cosmic light strings, two-dimensional symmetric vibration, discrete frequency energy levels, and indivisible steady closed loops as the fundamental axiomatic system. Starting from the ultimate physical origin, it completely and rigorously proves the world’s ten major millennium mathematical problems in a unified way. The whole derivation adopts no additional assumptions, no logical jumps, no empirical fitting and no abstract reasoning. This work realizes the grand unification of physics and mathematics, and establishes a new inherent paradigm that mathematics is the objective projection of physical laws of light strings.