Ervin Goldfain. Gravitational Dynamics of Cantor Dust and Self-interacting Dark Matter
Natural Sciences / Physics / Mathematical Physics
Submitted on: Mar 02, 2026, 08:00:06
Description: We develop a first-principles framework in which self-interacting dark matter (SIDM) emerges as an effective manifestation of primordial Cantor Dust. In this framework, Dark Matter resides on a multifractal support characterized by a scale-dependent Hausdorff dimension D<3. We argue that the phenomenology of SIDM is a memory of primordial Cantor Dust, emerging without conventional particle scattering and cross sections. The mechanism described here reproduces the flat galactic rotation curves, baryonic Tully-Fisher relations, the SIDM transport cross section, explains the coreâE"cusp problem, the evasion of Bullet Cluster bounds and the morphology of the cosmic web.