Density-Spin Correlation as Predictor of Fusion Ignition in Threshold-Mass Objects

Analysis of threshold-mass objects (M ≈80 MJ ) reveals strong correlation between density, rotation rate, and fusion outcome. Objects with high density exhibit faster rotation and achieve fusion ignition; objects with low density exhibit slower rotation and fail to ignite. This correlation suggests a mechanistic relationship: density drives spin, and the density-spin coupling determines fusion capability. We present comparative analysis of failed and successful ignition cases at equivalent mass, demonstrating that rotational velocity and core density serve as predictors of fusion outcome independent of mass alone.