Universal Quadratic Boundary Layers in Degenerate Mixed-Gradient Dissipative Fields (v1.0)

This dataset and manuscript package presents numerical evidence for a universal quadratic boundary-layer structure in degenerate mixed-gradient dissipative fields. Previous BIG studies identified a robust quadratic boundary exponent, ϕ∼A(R−r)2,\phi \sim A(R-r)^2,ϕ∼A(R−r)2, near compact-support boundaries generated by localized sources. The present study examines a more difficult case: smooth Gaussian forcing without explicit compact support. A threshold-resolved boundary analysis reveals three distinct regimes: A robust quadratic boundary-layer region with ν≈2.02\nu \approx 2.02ν≈2.02 and very small fitting errors. A transition region where fitting quality rapidly deteriorates. An exterior tail region exhibiting large apparent exponents and poor amplitude-law agreement. These results suggest that the physically relevant boundary is not the outer support edge itself, but rather a dynamically selected self-organized boundary layer separating bulk and tail dynamics. The package contains: manuscript PDF CloudLaTeX source package numerical figures reconstructed summary datasets metadata and documentation This release is intended as an archival research record and exploratory numerical report.