Astronomers at the University of Zürich and the ETH Zürich, together with other international researchers, have found large amounts of invisible "dark matter" near the Sun. Their results are inconsistent with the theory that the Milky Way Galaxy is surrounded by a massive "halo" of dark matter, but this is the first study of its kind to use a method rigorously tested against mock data from high quality simulations. The authors also find tantalizing hints of a new dark matter component in our Galaxy.