Linear Perturbation Theory and Observational Confrontation of the Holographic Unspooling Framework

Standard cosmological models increasingly rely on invisible material parameters—particulate dark matter and dark energy fluids—to resolve late-time observational tensions. We present the linear perturbation theory of the Holographic Unspooling Framework (HUF), a strictly non-materialist, zero-free-parameter geometry that derives cosmic evolution directly from the thermodynamic unspooling of macroscopic entanglement entropy. By redefining the dark sector as the kinematic weight of this unspooling information (\Omega_{info}=0.266), the framework naturally preserves early-universe physics, including Baryon Acoustic Oscillations (BAO) and the Cosmic Microwave Background (CMB) sound horizon. We demonstrate that the emergent geometry drives a late-time suppression of the effective gravitational constant parameterized exclusively by \epsilon=1/(2\pi^{2}). This yields a native resolution to the S_8 matter-clustering tension (S_8=0.763) and generates an exact, falsifiable prediction for the growth index (\gamma=0.626). We confront the framework's primary open problems: predicting an A_{lens} \approx 0.840 that we hypothesize requires a decoherence transfer function to match Planck data, and a rigid, un-tunable prediction of H_0 = 65.76 \text{ km s}^{-1}\text{Mpc}^{-1} that sits in severe tension with absolute distance ladder calibrations. We propose that these structural tensions are signatures of the holographic phase transition, establishing decisive falsification tests for CMB-S4 and Euclid.