This arXiv preprint (2026) presents a theoretical information-theoretic framework analyzing the cosmic web via the tidal deformation tensor's eigenvalues rather than scalar density alone. Drawing on the analytically known Doroshkevich 1970 joint PDF in the linear regime, the authors define a continuous Shannon entropy over morphological sign patterns (clusters, filaments, walls, voids) and link it to multifractal dimensions, identifying filaments as primary information carriers. As a preprint, it contains no observational sample or N-body validation; limitations include restriction to linear theory and assumption of Gaussian initial conditions. Synthesizing with Doroshkevich's foundational work and recent multifractal analyses of SDSS data (e.g., 2018 studies on generalized dimensions), the approach reveals how shear invariants Q and A supply cosmological constraints on f(z) complementary to redshift-space distortions—mainstream coverage rarely highlights this geometric entropy budget as an independent probe of structure growth and dark energy.