Corrected Tissue Framework (CTF): A Unified Approach to Resolve the Hubble Tension and the S_8 Structure Growth Problem

We present a novel phenomenological model for dark energy, where the equation of state is treated as an explicit function of the cosmic scale factor a . The model posits that dark energy was not constant in the past but underwent a transitional phase with an equation-of-state parameter less than -1 (a mathematically stable phantom-like behavior). This feature increases the expansion rate in the early universe, reducing the sound horizon and resolving the Hubble tension ( H_0 ). Concurrently, the rapid vanishing of this tissue's density in the distant past allows cosmic structures (galaxy clusters) to grow more efficiently, thereby addressing the S_8 tension. The model naturally converges to the cosmological constant ( w = -1 ) in the distant future, ensuring cosmic stability without a Big Rip scenario.