"Comprehensive Validation and Falsification of the TPMAF Formalism: Analysis of SDSS DR18 Data and Predictive Tests"

I would like to present the first rigorous validation of the TPMAF (Tensor-Phase-Mass-Action-Field) formalism applied to real observational data from the SDSS DR18 catalog. Unlike conventional probabilistic methods, TPMAF operates as a deterministic geometric operator mapping celestial coordinates (α, δ, z) onto an information state manifold. Through nine independent tests—including falsification on 105 stochastic noise points, predictive tar- geting, and Void vs. Coma contrast analysis—we demonstrate that the φratio metric re- mains statistically invariant across extreme variations in galaxy density, explicitly rejects pure stochastic noise, and detects subtle topological gradients. The results indicate that TP- MAF probes a topological invariant of the cosmic web, decoupled from the direct distribution of baryonic matter.