Psychophysical supervenience requires that the mental properties of a system cannot change without the change of its physical properties. In this paper, I argue that the Everett interpretation of quantum mechanics or Everett’s theory seems to violate the principle of psy-chophysical supervenience. In order to be consistent with our experience , the theory assumes psychophysical supervenience in each world, including our world. However, this permits the possibility that under certain unitary time evolution which does not lead to world branching , the wave function of each world changes and correspondingly the mental states of the observers in the world also change, while the wave function of the total worlds does not change, which violates the principle of psychophysical supervenience for all worlds. It seems that one must go beyond Everett’s theory such as denying multiplicity in order to avoid the failure of psychophysical supervenience.
Full text: https://www.academia.edu/36529963/Failure_of_psychophysical_supervenience_in_Everetts_theory