Primordial Perturbations in Dark Geometry

We derive the primordial perturbation parameters from the Dark Geometry framework using bounce cosmology instead of inflation. The key concept is the Cosmological Black Body: at the Loop Quantum Cosmology (LQC) bounce, the universe satises the saturation condition σ = 0, identical to the Black Body condition on stellar horizons established in IDG.The spectral index ns = 0.968 ± 0.012 is derived from the Asymptotic Safety beta function (|βg| = 0.20+0.10−0.05) combined with CDT spectral dimension réduction. This prediction agrees with Planck (ns = 0.9649 ± 0.0042) within 0.3σ. The amplitude As is used to constrain the Hubble scale at perturbation generation, yielding H∗ ≃ 10^16 GeV (GUT scale). The tensor-to-scalar ratio r is estimated to be small (r ≲ 0.01) based on bounce dynamics, consistent with current limits (r < 0.036). We also derive the running of the spectral index αs = dns/d ln k ≃ +0.003 and discuss non-Gaussianity predictions. All results are classified by epistemic status(derived/constrained/estimated) and compared with LQC literature.