Exact Results in Quantum Theory & Gravity

In this talk, I want to introduce a newly developed relational approach to relativistic quantum physics steaming from the theory of operational quantum reference frames (QRFs). I will begin by introducing the QRF framework in the context of Special Relativity by taking the Poincare group as the underlying symmetry structure. From these considerations, a novel and relational perspective on the notion of a quantum field emerges, which is then extended to curved geometries by replacing the Poincare group with a Lorentz bundle. The formalism is also capable of dealing with indefinite background geometries when formulated in the context of the frame bundles.

The talk is based on a recent preprint http://arxiv.org/abs/2405.15455.