BIG-B6.4: Critical Mobility Transition and Universality Plateau in Degenerate Mixed-Gradient Dissipative Fields

BIG-B6.4: Critical Mobility Transition and Universality Plateau in Degenerate Mixed-Gradient Dissipative Fields This dataset contains numerical results from the B6 analysis series of Boundary Information Geometry (BIG), investigating the dependence of the free-boundary exponent ν on the mobility exponent m in degenerate mixed-gradient dissipative fields. The governing evolution equation is ∂tφ = ∇·(φ^m ∇φ)− μφ− γ∇·(|∇φ|²∇φ)+ S(x), where the mobility exponent m controls the strength of degenerate transport and γ>0 introduces quartic-gradient regularization. Previous B5 simulations revealed that the free-boundary exponent ν varies systematically with m and approaches a nearly constant asymptotic value for sufficiently large mobility exponents. The B6 analysis investigates this transition using: • balance-law comparison,• universality fitting,• high-density scans near the transition region,• bootstrap crossing analysis. Main observations: The naive balance prediction ν = 2/(2−m) fails to describe the observed asymptotic regime. Numerical data are better described by a crossover transition between: a low-m branch, a mixed-gradient universality plateau. The plateau exponent is estimated as ν* ≈ 1.82. High-density scans locate the transition near m_c ≈ 0.649. Bootstrap analysis gives m_c = 0.649 ± 0.004(95% confidence interval approximately 0.646–0.653). These results support the existence of a mixed-gradient universality regime whose free-boundary exponent remains approximately constant over a broad range of mobility exponents. The dataset contains numerical summaries, fitting tables, bootstrap estimates, and figures generated during the B6 analysis campaign. This work forms part of the Boundary Information Geometry (BIG) research program.