X(2370) as a Topological Soliton: A Logical Universe Interpretation of the BESIII Glueball Discovery——Pure Gauge Field Solitons Without Fermionic Cores

Abstract

The BESIII Collaboration has recently established, through a complete chain of experimental evidence over fifteen years, that the dominant constituent of X(2370) is the lightest pseudoscalar glueball with $J^{PC}=0^{-+}$. This marks the first experimental confirmation of a pure gauge-field bound state—a particle composed entirely of force mediators without valence quark constituents. We interpret this discovery within the Logical Universe (LU_v3.1) framework, which posits that all localized matter is topological knots of the right-handed light field $\rho_R$. In this framework, the glueball is identified as a pure field topological soliton—a self-closed light-field knot requiring no fermionic core for stability. We derive the mass difference between the glueball and the proton from the topological compression ratio $\eta$ and the knot closure degree $\Theta_{\text{knot}}$, and we predict a tower of higher-topological-charge glueball states with masses $m_n = n \cdot m_{X(2370)}$. The LU framework provides a unified geometric language for describing fermion-composite solitons (protons), pure-field solitons (glueballs), and macroscopic solitons (superconducting vortices) through a single topological dynamics equation.