Constitutive Exclusion and Homogeneous Bulk Closure in Relativity of Matter

"Nothing is lost, everything is transformed — redshift included." For a century, standard cosmology has balanced its expansion ledger by importing external energy reservoirs, fitted dynamical response coefficients, and by allowing the energy of cosmological redshift to simply vanish. This manuscript, submitted for peer-review to Physical Review D, resolves this fundamental thermodynamic anomaly by strictly closing the homogeneous bulk sector of the Relativity of Matter (RM) framework. By subjecting the provisional homogeneous relation (HCR-1) to the common action, we formally reject it and derive a rigid, exact replacement. On the homogeneous Fourier mode (k_F = 0), the algebraic Hamiltonian and conformal scalar constraints survive. With a positive constitutive reservoir ε_z(e) and an invariant background u_0, the preservation of these constraints yields the parameter-free bulk rate: H[3B'(e) + 3ρ_m + 8u_γ] = s where s is the local matter-to-radiation conversion rate. Key Architectural Claims: No Friedmann Equation: The homogeneous bulk closes mathematically without importing H_0, Ω_m, or any external equation of state. Constraint Preservation: The zero-mode Hamiltonian constraint (GHC-1) is preserved identically. Boundary Separation: Boundary production is rigorously isolated to a distinct inhomogeneous (k_F ≠ 0) conversion layer, avoiding artificial bulk injections. OPEN FALSIFICATION PROTOCOL (€50,000 BOUNTY): Because this manuscript definitively challenges the architectural foundations of standard large-scale models (using the Conicus3D forward model as an external benchmark), this Zenodo deposit acts as the official timestamp for the RM Homogeneous Falsification Protocol. A €50,000 public bounty is active for the first researcher capable of mathematically invalidating this specific action-level bulk closure under the explicit derivation rules provided. Prepared for APS Physical Review D submission.