Phase Structure of Information-Copying Cosmology VIII: Onset, Stability, and Matter Regeneration

We analyze the dynamical phase structure of the InformationCopying Cosmology (ICC) framework, in which spacetime expansionemerges from an autocatalytic copying process described by a scalarfield ϕ(x,t) representing the local copying-rate deviation. The autonomous equation ˙ ϕ = 2ϕ(µ + αϕ/(1 + ϕ2) − ϕ) is shown to exhibita transcritical bifurcation at µ = 0, defining the precise onset ofcopying. For µ < 0, the only fixed point is ϕ = 0 (globally stable, nocopying). For µ > 0, the trivial fixed point becomes unstable and aunique stable positive fixed point ϕ∗ > 0 appears, which is globallyattractive for all initial conditions ϕ0 > 0. We prove analytically thatF′(ϕ∗) < 0 for all µ > 0, α > 0. No bistability or separatrix existsin the physically relevant parameter range (α ∼ 0.5–2.0, µ ∼ 0.2–1.5).Hence, copying termination is impossible for µ > 0. We further show that in ICC, both baryonic and dark matter are emergentdefect states, and transitions between them are possible in principlevia a stochastic switching mechanism. This implies cyclic matterregeneration: even after conventional gas is exhausted, defects canregenerate baryonic matter, potentially forming new dark structuresand stars. The universe thus approaches a dynamic equilibrium ratherthan heat death. Testable predictions for DESI, Euclid, and Romanare discussed. This is Part VIII of the ICC series.