Geometry of spacetime from quantum measurements
T. Rick Perche, Eduardo Martín-Martínez
Abstract
We provide a setup by which one can recover the geometry of spacetime from local measurements of quantum particle detectors coupled to a quantum field. Concretely, we show how one can recover the field's correlation function from measurements on the detectors. Then, we are able to recover the invariant spacetime interval from the measurement outcomes, and hence reconstruct a notion of spacetime metric. This suggest that quantum particle detectors are the experimentally accessible devices that could replace the classical ``rulers'' and ``clocks'' of general relativity.
Topics & Concepts
SpacetimePhysicsQuantum field theory in curved spacetimeQuantum spacetimeGeneral relativityQuantum field theorySpacetime topologyQuantumCausal setsStationary spacetimeInvariant (physics)Classical mechanicsTheoretical physicsQuantum mechanicsQuantum gravityQuantum Electrodynamics and Casimir EffectQuantum Mechanics and ApplicationsNoncommutative and Quantum Gravity Theories