Full-Scale Numerical Tests of the Triadic Fixpoint Framework (TF2.5): Reproducible Toy Models in Chemistry and Cosmology

We present a full-scale, fully reproducible numerical test suite for theTriadic Fixpoint Framework (TF2.5), designed to probe informationalstabilization and geometric convergence across chemistry and cosmology. The package contains three independent experiments:(i) a density-functional theory (DFT) calculation of benzene (B3LYP/6-31G)demonstrating self-consistent field convergence as a fixpoint phenomenon;(ii) a ΛCDM baseline cosmology implemented with Astropy;(iii) a phenomenological Toy C model addressing the Hubble tension via apurely local distance-ladder rescaling that preserves high-redshift behavior. All results are generated without parameter fitting or likelihood optimization.The purpose is methodological: to demonstrate that a single geometricmodification can reconcile mutually inconsistent low- and high-redshiftdistance indicators at a qualitative level. A full statistical analysis using Pantheon+ covariance matrices and SH0ESchains is deliberately deferred to forthcoming work.