Networks of quantum reference frames and the nature of conserved quantities

Whenever we describe the position of an object, we actually mean the position relative to a frame of reference such as a wall, a table, the sun, etc. We are trying to understand the consequences of treating the reference frame as a quantum mechanical object itself. This has already been shown to lead to stronger conservation laws – valid in individual cases – and is thought to be an essential feature of quantum gravity. Carolina Moreira Ferrera, Ismael L. Paiva, Sandu Popescu and I introduced a new concept, in our paper networks of reference frames, where one frame is relative to another and so on, and showed that the way conservation laws work in such cases is somewhat paradoxical. This makes us rethink the nature of conserved quantities, and the way we describe the physical world.