Parameter-Free Predictions of the Holographic Unspooling Framework for DESI DR2, Euclid, and CMB-S4

The standard \LambdaCDM cosmological model faces mounting late-time observational tensions, notably the S_8 matter-clustering anomaly. The recently submitted Holographic Unspooling Framework (HUF) resolves this tension (S_8 \approx 0.763) without phenomenological tuning by deriving a dynamic effective gravitational coupling parameterized by the logarithmic Bekenstein-Hawking entropy. With zero free parameters in the gravity sector, the HUF makes strict, falsifiable predictions. In this letter, we formally establish the framework's predictions for the dynamic equation of state w(z) (testable by DESI DR2), the gravitational slip \eta (testable by Euclid/Roman), and redshift space distortions (f\sigma_8), while proving its exact preservation of the Baryon Acoustic Oscillation (BAO) standard ruler.