A Hypothesis on the Gödelian Nature of Dark Matter

The gravitational evidence for the existence of Dark Matter (DM) is beyond doubt, yet not a single confirmed non-gravitational signal of DM has been detected. This raises a fundamental question: can particles exist that, in principle, participate only in gravitational interactions? A future Theory of Everything will face an inevitable choice — either to explain the phenomenon of DM within its own framework, or to acknowledge its existence as an ontologically independent fact. Should DM fall outs