Entanglement-induced deviation from the geodesic motion in quantum gravity
arXiv:1801.03207 · doi:10.1088/1475-7516/2019/09/057
Abstract
We study the derivation of the effective equation of motion for a pointlike particle in the framework of quantum gravity. Just like the geodesic motion of a classical particle is a consequence of classical field theory coupled to general relativity, we introduce the similar notion of an effective equation of motion, but starting from an abstract quantum gravity description. In the presence of entanglement between gravity and matter, quantum effects give rise to modifications of the geodesic trajectory, primarily as a consequence of the nonzero overlap between various coherent states of the gravity-matter system. Finally, we discuss the status of the weak equivalence principle in quantum gravity and its possible violation due to the nongeodesic motion.
v4: published version, 37 pages
References in corpus (5)
- Quantum mechanics and the covariance of physical laws in quantum reference frames
- Classical String in Curved Backgrounds
- Spinning branes in Riemann-Cartan spacetime
- Equivalence principle and quantum mechanics: quantum simulation with entangled photons
- Single-Pole Interaction of the Particle with the String