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Recent no-go theorems on interpretations of quantum theory featuring an assumption of Absoluteness of Observed Events' (AOE) are shown to have an unexpectedly strong corollary: one cannot reject AOE and at the same time assume that the observed events’ in question can all be embedded within a single background space-time common to all observers. Consequently, interpretations that reject AOE appear incompatible with a `block universe’ view of space-time.

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