Isometric Evolution in de Sitter Quantum Gravity
Jordan Cotler, Kristan Jensen
Abstract
We study time evolution in a simple model of de Sitter quantum gravity, namely, Jackiw-Teitelboim with a positive cosmological constant. We find that time evolution is isometric rather than unitary. The states that are projected out under time evolution correspond to initial conditions that crunch. Our findings suggest that knowledge of bulk physics, even on arbitrarily large timescales, is insufficient to deduce the de Sitter S matrix.
Topics & Concepts
PhysicsDe Sitter universeMathematical physicsQuantum gravityde Sitter invariant special relativityQuantumClassical mechanicsDe Sitter spaceQuantum mechanicsUniverseBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories