This manuscript explores the origin of particle mass through the lens of pure geometric topology, offering a theoretical alternative to the reliance on empirical parameters such as the measured speed of light (c) and the fine-structure constant (a) in the Standard Model.
Grounded in the 1+2 dimensional toroidal manifold of Arc Geometry and the Law of Spontaneous Doubling (LSD), the study introduces a pure geometric topological impedance limit (alpha_{geom}^{-1} \approx 137.041286) and an absolute spatial scale (c_{geo} = 3 \times 10^8 \text{ m/s}). Utilizing these geometric constants, an absolute standardized electron mass baseline is algebraically derived at M_{arc\_e} \approx 0.510685 \text{ MeV}/c^2.
By applying this baseline alongside a spatial asymmetrical projection modifier ($\mathcal{P}$) to a topological folding matrix, the fundamental particle mass spectrum is reconstructed. The resulting algebraic matrix aligns closely with current collider data, while systematically indicating a $\sim -0.06\%$ metrological shift in the measured masses of heavy particles (e.g., the Top quark and Gauge bosons).
Furthermore, guided by the 2^6 topological eigen-surjection principle, the framework posits a 64-state topological architecture. This suggests a mathematical extension of the current 62-particle model, theoretically predicting the existence of two hidden eigenstates at the ultimate microscopic boundary: the Ran-Magnetic (B_m^0) and Ran-Light (B_l^0) poles. This work aims to provide a rigorous mathematical foundation for conceptualizing absolute topological evolution in theoretical physics.
发表于 2026-3-22 16:53
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