The Topological Origin of Dark Matter: The Absolute Dark Domain and the Falsification of Particle Paradigms

Despite decades of extensive experimental efforts, direct and indirect detection of dark matter particles (e.g., WIMPs, axions) remains elusive, pushing the standard Cold Dark Matter (CDM) paradigm into a crisis. This paper proposes a fundamental ontological shift: dark matter is not an undiscovered elementary particle, but a Topological Dead Knot within a fundamental discrete network. Based on Daopological Physics, we define dark matter as an "Absolute Dark Domain" characterized by extreme structural measure (μstructure≫0μstructure≫0) and vanishing transfer entropy (Htransfer→0Htransfer→0). We derive a crucial physical consequence: because internal information flow is completely frozen, dark matter cannot exchange momentum via dynamical friction with visible matter. To test this paradigm, we present a discrete numerical simulation of a galaxy traversing a dark matter halo. Unlike the CDM model, which predicts a massive trailing wake due to dynamical friction, the Daopological model predicts absolute topological insulation—the galaxy passes through with zero friction and a perfectly preserved morphology. We further outline six falsifiable observational signatures, including the "Zero-Wake Effect" observable via JWST. This work provides a directly testable kinematic discriminator between particle dark matter and topological dark matter.