Core–Cusp Transition in Dwarf Galaxies from Non-Equilibrium Energy Redistribution

This preprint presents an independent theoretical analysis of the core–cusp problem in dwarf galaxies. The work explores how non-equilibrium energy redistribution in low-density gravitational systems can naturally suppress the formation of steep central density cusps, leading to emergent core-like profiles without modifying gravitational field equations, introducing new particle species, or relying on tuned baryonic feedback.The analysis adopts an energy circulation perspective in which gravity is treated as an effective response to energy density gradients. In dwarf galaxies, prolonged relaxation timescales lead to saturation of the effective central gravitational response, providing a minimal and testable explanation for observed inner mass distributions.The manuscript is intended as an open research log and a basis for public discussion. It emphasizes physical interpretation, semi-quantitative expectations, and falsifiable predictions rather than detailed numerical modeling.