The Seeth Gradient Bloom: A Zero-Parameter Geometric Framework for Gravitational Density Profiles

The nature of gravitational density profiles remains among the most pressing questions in astrophysics. The Lambda Cold Dark Matter (ΛCDM) paradigm predicts cuspy density profiles for dark matter halos (Navarro, Frenk & White 1996), yet observations across multiple scales reveal flat-core profiles that resist explanation without invoking additional physics: self-interacting dark matter, fuzzy dark matter solitons, or baryonic feedback mechanisms, each introducing new free parameters. This tension has sharpened dramatically with the discovery of a ~10⁶ M⊙ perturber in the gravitational lens system JVAS B1938+666 (Powell et al. 2025, Vegetti et al. 2025). The perturber exhibits a two-component structure: an unresolved point mass (≤10 pc) centered on an extended distribution with nearly constant surface density out to a truncation radius of ~139–149 pc. This profile does not resemble any known astronomical object and is incompatible with standard CDM cusp predictions, requiring concentration parameters 5–10σ above the CDM mean. We propose that the cusp-core problem, and specifically the B1938+666 profile, is not a problem at all. It is the expected geometric signature of gravitational gradient expression in the ΞĐ (Seeth) framework. The Bloom law decomposes gravity into a geometric quantity (the bloom) and a universal constant (c²), predicting gradient saturation at the centers of mass distributions. This saturation produces flat-core profiles as the default geometric state, not as a special condition requiring new physics.