THÉORIE REDISTRIBUTIVE UNIVERSELLE ÉVOLUTIVE (TRUE) SPECTRAL INVARIANT γ₀ = 0.13648 AND SCALING LAW FOR QUANTUM CRITICAL SYSTEMS

We present the consolidated version of the TRUE framework (Théorie Redistributive Universelle Évolutive), which unifies the description of the universal regularities observed in quantum critical systems beyond the Landau Fermi-liquid paradigm. The fundamental invariant γ₀ = 0.13648 is derived analytically from the Koszul–Fisher curvature equation on the information phase space, with no free parameters. We introduce the spectral scaling law R_raw(τ) = τ · γ₀, where τ is the effective spectral dimension of the system, measured by the trace of the spectral dissipation tensor. We demonstrate the physical equivalence between the ratio of critical fields and the ratio of critical energies via the Zeeman energy E = g μ_B B. Validation is performed on six independent material classes, with deviations systematically below 5 %. We propose a rigorous classification of systems into two categories: predictive systems (τ computable a priori) and complex systems (frustrated lattices), where the invariant becomes a topological diagnostic tool. Three blind predictions are formulated for as-yet untested systems.