This preprint presents a formal constitutive representation of linearized general relativity in the weak-field regime. The metric perturbation is expressed through a logarithmic strain mapping of a positive-definite spectral stiffness tensor constructed via log-additive dyadic bands. The formulation preserves the harmonic-gauge linearized Einstein equations and retains the standard retarded Green-function structure. The Newtonian (Poisson) limit is explicitly recovered. A consistent bulk/shear (trace/traceless) decomposition is implemented within a unified spectral framework. The work does not propose a modification of general relativity and introduces no additional dynamical degrees of freedom. Its scope is strictly restricted to the weak-field regime. Version 2.0 consolidates and formalizes the framework introduced in Version 1.0, removing interpretative and ontological statements in favor of a purely mathematical presentation.
Matthew Alexander Firtl (Sat,) studied this question.