Variational Backbone and Regime Closures II (Stationary/Dissipative): Stationary and Dissipative Laws on the Effective State Space Effective law generation (IR, F) before representative pullback

Part II computes the R1 and R2 laws generated by applying the Part I readings to the core density ecore^ (P) = (beta/2) ||DR IR||P² + (alpha/2) ||F||P² + eta P, with F = SigmaH, P (unread content) and alpha, beta > 0. Following the constitutional setting of Part I, the primary variables are (IR, F) on the retained-effective state space Cₑff^ (H, P) = CR^ (P) x Ran SigmaH, P; the first-order expression F = DI II is a representative pullback, and equations involving II are representative lifts of the effective laws, not primary dynamics of an unread interior. The norms in ecore^ (P) use the protocol pairing P; a metric/L² representative realizes them as |. |g integrated against dvolg, and F = DI II holds only after the representative carrier is declared. The primary R1 output is the effective stationarity system beta DR^* DR IR + eta F = 0, and integralM dvol = 0 for all delta F in TF Ran Sigma. When the summary range is the full retained section space, the constrained condition reduces to the algebraic relation alpha F + eta IR = 0; Schur elimination then gives the retained law beta DR^* DR IR - (eta²/alpha) IR = 0. In the first-order representative F = DI II, the constrained condition becomes DI^ (alpha F + eta IR) = 0, and a closed-range projector PI = DI (DI^ DI) ^ (-1) DI^* yields the projected Schur form beta DR^* DR IR - (eta²/alpha) PI IR = 0. The primary R2 output is the unread-summary compression flow, not a physical damping law for the retained sector. The summary map unread content -> F = Sigma₇, ₏ (unread content) is many-to-one and erases representative-dependent unread information; only the licensed summary F survives in the retained law. In compression time tau the retained variable IR is held fixed as the readable source against which the unread summary relaxes: partialₜau IR = 0, partialₜau F = -MF (alpha F + eta IR), where MF is the declared positive summary mobility on Ran Sigma. In the first-order representative, MF = DI DI^. This flow settles F to F_ with MF (alpha F_* + eta IR) = 0; substituting F_* into the retained R1 equation beta DR^* DR IR + eta F_* = 0 reproduces the Schur law without ever damping IR. The conditional functional EcompF | IR = integralM ( (alpha/2) |F|² + eta) dvol has F-Hessian alpha Id > 0, so it is bounded below and decreases monotonically along the flow; a settled background is therefore a compression-residue readout, not primitive data of ecore. A full (IR, F) -gradient flow may still be written as an auxiliary variational relaxation, but it is not the primary physical reading; the conservative physical-time reading of IR belongs to R3 and is closed in Part III. The unread side enters the retained law through summary-footprint channels: the licensed summary F, the constrained summary-side condition, and the Schur-effective operator, algebraic -eta²/alpha in the range-saturated regime, or projected - (eta²/alpha) PI in the first-order representative when the range is a proper subspace. Metric, Einstein-Hilbert, and Ricci-type structures are not new law-spaces opened by gates; they are restricted branch-readouts of this already generated R1/R2 law-space. The metric branch is treated only as a restricted readout: with DI = partialg and a representative witness psi₀ for the settled summary F_* = partialg psi₀, the term (alpha/2) |F|² carries the Lichnerowicz footprint R|psi₀|², which becomes an EH term only under constant-density locking |psi₀|² = rho₀; the metric is thereby a derived readout of the compressed summary, not external data, with induced coupling gamma = alpha rho₀/4 as an output rather than an input.