Rindler quantum gravity

Abstract

In this note, we explain how asymptotically globally AdS spacetimes can be\ngiven an alternate dual description as entangled states of a pair of hyperbolic\nspace CFTs, which are associated with complementary Rindler wedges of the AdS\ngeometry. The reduced density matrix encoding the state of the degrees of\nfreedom in one of these CFTs describes the physics in a single wedge, which we\ncan think of as the region of spacetime accessible to an accelerated observer\nin AdS. For pure AdS, this density matrix is thermal, and we argue that the\nmicrostates in this thermal ensemble correspond to spacetimes that are almost\nindistinguishable from a Rindler wedge of pure AdS away from the horizon, but\nwith the horizon replaced by some kind of singularity where the geometrical\ndescription breaks down. This alternate description of AdS, based on patches\nassociated with particular observers, may give insight into the holographic\ndescription of cosmologies where no observer has access to the full spacetime.\n