Unified Theory of 1D Topological Energy Strings and the Standard Model

This work takes the one‑dimensional topological energy string with one fixed end at the Planck scale as the sole fundamental ontology, without introducing presupposed spacetime, background fields, or additional free parameters. A self‑consistent, complete, and quantitatively testable framework of fundamental physics is established. Through topological constraints of 10 intrinsic vibration modes and 12 discrete phase cycles, we rigorously derive special relativity, Maxwell’s equations, the classification of bosons and fermions, and the Pauli exclusion principle. We quantitatively obtain the mass ratios of the three generations of leptons, the strong coupling constant, and the weak mixing angle. Based on the original physical pictures of orthogonal phase transitions, outer three‑dimensional expansion, and inner seven‑fold connection, we derive the string dynamical origin of gauge symmetries and the physical nature of complex quantum amplitudes. This work for the first time reduces the complex Hilbert space structure of quantum mechanics to the discrete orthogonal topological operations of the inner seven‑fold connection, providing a dynamical explanation for the physical reality of the imaginary unit. All derivations are marked as macroscopic approximations where applicable, maintaining logical honesty and rigor; no claim of strict equivalence to existing quantum field theory is made.