SCALPEL Heart: Cellular Regeneration via Semantic Ricci Flow

e present the SCALPEL Heart, a regenerative algorithm inspired by cardiac physiology that implements semantic Ricci Flow for dataset curation. The heart “beats” generating cells—geometrically coherent k-neighborhoods—and distributes them through the data manifold. The cardiac rhythm adapts to the disorder parameter ρ: higher stress induces faster heartbeat and more aggressive regeneration.
Key contributions:
                             1. Formalization of cells as k-neighborhoods in Hilbert space
                             2. Implementation of supervised Ricci Flow for cell optimization
                             3. Adaptive pumping algorithm based on disorder level
                             4. Empirical validation: 100% of datasets show ∆ρ < 0 (cross-validated with [CC-Theorem 8.1])
                             5. Connection to the Semantic Tolerance Law