This Complete Formalism (CF11) specifies a falsifiable, derived-limit route by which the VDM

metriplectic split (reversible J limb ⊕ irreversible M limb) can be interpreted as an effective

two-component “dark sector” at cosmological scales without postulating new fundamental

particles. The central technical move is to avoid an ad hoc field split Φ = ΦJ +ΦM: instead, a

state-level decomposition is defined by spectral (Riesz) projectors of the linearized generator

about a coarse-grained background, producing oscillatory (reversible) and relaxational

(irreversible) bands with a measurable spectral-gap gate. Sector stress–energy and a tracked

interaction remainder are then defined in a quadratic approximation using the energy Hessian

inner product, yielding explicit cross-term control metrics. Within cl ...