Cold dark matter (CDM) is microscopically modelled as a self-gravitating collisionless fluid obeying the Vlasov-Poisson equations. The cold nature suggests that the CDM phase-space structure is described as a three-dimensional super-sheet evolving in six-dimensional phase space. At the initial stage, the phase-space sheet represents a single-stream flow, but as a consequence of the non-linear...
Holography suggests that gravitational theory can be described by a quantum field theory in one lower dimension. This idea provides an invaluable framework to explore the nature of quantum gravity. In this talk, I will review the basic concepts of holography and highlight recent progress in understanding quantum gravity on anti-de Sitter spacetimes, including the roles of quantum entanglement...
