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Soltau, Andrew
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A perspective on Everett's relative state formulation is proposed, leading to a simple relational quantum mechanics. There are inevitably a large number of different versions of the world in which a specific observer could exist, and in the universe of the total unitary wave function they are all existing and superposed. If these different versions of the observer's world are taken together and superposed, the effective physical environment in the functional frame of reference of this observer would be highly indeterminate, since every possible variation of the world is included: only where observed by the observer is this world determinate, as in Rovelli's Relational Quantum Mechanics. Although the identity of the observer as a physical body does not fit this concept, it applies inevitably to the functional identity of an observer as depicted by Everett: the state of the memory defining the record of observations. In this relativised quantum mechanics the collapse dynamics applies only to the functional frame of reference of the observer and raises no incompatibility with the linear dynamics. The multiple identities of the observer produced on observation are in idiosyncratically defined effective physical environments, each defining different, specific, determinate measurement records.