 Alternatively to some global notion of a world, one can look at the components of the (mixed) state of a (local) system, either from the point of view that the different components defined by decoherence will separately affect (different components of the state of) another system, or from the point of view that they will separately underlie the conscious experience (if any) of the system. The former sits well with the relational interpretation of Everett as put forward in the 1990s by Saunders (e.g. 1993), possibly with Zurek’s (1998) views, and arguably with Everett’s (1957) original notion of relative  state.[21]  The latter leads directly to the idea of ‘many-minds’ in the sense used by Zeh (2000; also 2003a, p. 24). As Zeh puts it,  the ‘psycho-physical parallelism’ invoked by von Neumann  (cf. below Section 3.4.1) is to be understood as the requirement of supervenience of the mental on the physical: only one mental state is experienced, so there should be only one corresponding component in the physical state. In a decohering no-collapse universe one can instead introduce a new psycho-physical parallelism, in which individual minds supervene on each non-interfering component in the physical state. (This is different from the many-minds interpretation of Albert and Loewer (1988), where the mental does not supervene on the physical, because individual minds have trans-temporal identity of their own.[22]) Zeh indeed suggests that, given decoherence, this is the most natural interpretation of quantum  mechanics.[23] 