The Standard Model of particle physics achieves outstanding agreement with high-energy experimental data yet lacks a unified geometric explanation for core quantum mechanical and particle physics puzzles, relying entirely on algebraic Lagrangian frameworks and the classical point-particle hypothesis without intrinsic topological spacetime structure. This paper proposes the KunPeng Model, a self-consistent topological particle theory constructed on a double-twist non-orientable Möbius manifold with a fixed offset torsion angle. The KunPeng model establishes a three-factor global wave function consisting of Möbius geometric base field, Compton intrinsic oscillation term and four-quadrant chiral weight piecewise function, with all geometric parameters and wave function forms derived purely from topological constraints without artificial phenomenological corrections. Starting from fundamental Möbius parametric geometry, full analytical derivations are carried out covering weak-interaction parity asymmetry and CP violation, particle mass–reduced Compton wavelength–intrinsic oscillation frequency relations, multi-scale electromagnetic form factors matching JLab elastic scattering data, topological interpretation of quark confinement and DGLAP scale running, as well as geometric origin of spin-1/2, chirality and helicity topological quantum numbers. This work refutes the classical point-particle assumption and defines elementary fermions and composite hadrons as stable topological solitons confined on closed non-orientable manifolds, providing an intuitive geometric decomposition to resolve the logical contradiction of wave-particle duality. Fundamentally, quantum mechanics is redefined as wave dynamics constrained by closed topological manifold boundary conditions; quantum superposition, entanglement, discrete quantization and P/C/T symmetry conservation/violation are uniformly interpreted via manifold orientability classification, making up for the long-standing deficiency of geometric first-principle origins in traditional quantum mechanics and quantum field theory. All derived physical observables can be quantitatively compared with benchmark experiments including Wu’s parity violation measurement, nucleon electromagnetic form factor data, neutral meson CP asymmetry and light hadron mass spectra, with theoretical deviations consistent with experimental uncertainties. The KunPeng Model forms a fully closed logical deduction chain from underlying topological geometry to measurable experimental quantities, offering a novel geometric paradigm for exploring the intrinsic nature of microscopic particles and the fundamental essence of quantum mechanics.
J. L. Liu (Sat,) studied this question.
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