TF2.5 Toy Benchmarks: Four Minimal Simulations for Measurement, Black-Hole Information, Apparent Cosmic Acceleration, and Informational Mass

This package provides four fully reproducible toy simulations illustrating a common contraction-to-fixpoint motif across several foundational problems in modern physics. The benchmarks include: (i) a measurement-like stabilization model via iterated CPTP maps, (ii) a Page-curve-like entanglement profile in a finite-dimensional black-hole evaporation toy, (iii) apparent cosmic acceleration arising from convergence combined with a nonlinear observational mapping, and (iv) an informational-friction random walk yielding an effective inertia proxy. All simulations are explicitly presented as toy models and proof-of-concepts. The package includes raw numerical outputs (CSV), visualization figures, runnable Python code, and a LaTeX manuscript describing the setup and results. No claim is made to replace established physical theories; the purpose is to provide a falsifiable numerical interface for TF2.5-style hypotheses.