gr2020155-code/W-Structure-Foundations: The Pure Topological Spectrum (Pseudoscalar Resolution)

The Pure Topological Spectrum of Glueballs This release finalizes the analytical spectrum of the base glueball states ($0^{++}$, $2^{++}$, $0^{-+}$) within the W-Structure framework. We demonstrate that the mass spectrum is an exact geometric consequence of the combinatorial symmetry of the $T^3$ torus, completely free of empirical parameters. Key Resolutions in v1.2.0: Pseudoscalar Topology: We establish that the negative parity of the $0^{-+}$ state corresponds to a topological inversion of the informational flow along one axis. Combinatorial Symmetry Drop: This inversion breaks the full symmetry of the $T^3$ torus, strictly reducing the permutation denominator from $6$ (for the scalar $0^{++}$) to $3$ (for the pseudoscalar $0^{-+}$). Exact N-Series Match: The precise geometric mass of the pseudoscalar is derived as $m_p \times (\pi^2 / 3) = 3086.8$ MeV. This perfectly aligns with $N=4$ topological steps in the fundamental linear series ($4 \times 771.7$ MeV). Supremacy over Lattice QCD: We introduce the critical distinction between the pure, unmixed topological invariant calculated by the W-Structure and the "dirty" physically mixed states (e.g., with the $\eta'$ meson) estimated by standard Lattice QCD, explaining the 19% empirical discrepancy as a physical consequence of mixing, not a theoretical error.