Sector Paper VII - Forced‑Emergence of Outer‑Shell Sparse‑Regime Dynamics in Uranus

SECTOR PAPER VII — FORCED‑EMERGENCE OF OUTER‑SHELL SPARSE‑REGIME DYNAMICS IN URANUS Sector Paper VII applies the sparse‑regime planetary framework of the Unified Information Substrate to the Uranus system, demonstrating that its anomalous outer‑shell structure, thermal deficit, and axial tilt are direct consequences of δI‑correlation‑gradient collapse in the outer‑shell domain. The paper shows that Uranus exhibits the same sparse‑regime inflation behaviour identified in Sector Paper VI, with correlation thinning producing an expanded, low‑density outer envelope and a suppressed internal heat flux. It further identifies a δI‑shock reconstruction event in Uranus’s past, revealing that the planet’s extreme axial tilt and internal stratification arise from a forced correlation‑gradient inversion rather than a classical impact scenario. The work establishes Uranus as the Solar System’s primary sparse‑regime validation object, demonstrating that its observed anomalies are structurally required by δI‑substrate dynamics. Sector Paper VII links planetary‑scale correlation behaviour to Solar System architecture, showing that sparse‑regime emergence, envelope inflation, and correlation‑gradient collapse occur in both exoplanetary systems and local bodies. As part of the multi‑volume UN Theory corpus, this paper connects directly to Sector Paper VI, which predicts sparse‑regime planets in TOI‑791, and Sector Papers VIII–IX, which formalise ultra‑global correlation closure and terminal‑state behaviour.