A model of quantum spacetime
Tommaso Favalli, Augusto Smerzi
Abstract
We consider a global quantum system (the “Universe”) satisfying a double constraint, both on total energy and total momentum. Generalizing the Page and Wootters quantum clock formalism, we provide a model of 3 + 1 dimensional, non-relativistic, quantum spacetime emerging from entanglement among different subsystems in a globally “timeless” and “positionless” Universe.
Topics & Concepts
SpacetimeQuantum entanglementPhysicsTheoretical physicsFormalism (music)Quantum cosmologyQuantumUniverseQuantum gravityQuantum spacetimeQuantum mechanicsClassical mechanicsVisual artsArtMusicalQuantum Mechanics and ApplicationsNoncommutative and Quantum Gravity TheoriesAdvanced Mathematical Theories and Applications