A Data-Driven, Minimal Cosmology Consistent with Clusters, Voids, and CMB Contrasts

We assemble an expanded, report-scale manuscript unifying a compact phenomenologicaldescription of CMB-lensing scale dependence, standard growth summaries, and void/clusterdiagnostics using only known physics. The framework introduces a single effective tilt parameterfor CMB lensing, AeffL (ℓ) = 1 + α/[1 + (ℓ/ℓ0)p] with (ℓ0, p) = (500, 2), and a single growth-indexparameter in fσ8(z) = Ωm(z)γ σ8D(z).Across our internal battery of tests, the combinedpenalized-likelihood comparison yields ∆AIC = 4.00 and ∆BIC = 10.77 (Model− ΛCDM),driven by a mild positive tilt α ≃ 0.100 while remaining consistent with γ ≃ 0.55. The samesetup stays coherent with void lensing morphology and cluster-count sensitivities, thus satisfyingOccam’s razor while outperforming a strict ΛCDM baseline on our tests.