Wigner's friend scenario, Born's rule and an alternative formulation of pilot wave theory

Abstract

Abstract In this paper, we analyze the thought experiment of "Wigner's friend" and point out that new understanding should be made to Born's rule and measurement process: Born's rule is no longer seen as a rule based on the history of the quantum system's, and the measurement results are no longer directly related to the state of the measured object before the measurement. Inspired by Everett III and H. Zurek's views, we believe that Born's rule reflects the coordination between states of different parts in quantum entanglement systems, so it has nothing to do with the history of particles themselves but rather with the historical records. A new formulation of pilot wave theory, objective relative state formulation, or ORSF is suggested. Under this interpretation, micro-particles can also be assigned definite states before being observed. Based on this formulation, Wigner's friend-like scenarios can be effectively explained. We also notice that our universe can be totally retrocausal by the new formulation. The new interpretation brings new perspectives to many quantum phenomena.