Dutch-book resistant probability over centered worlds

An uncentered world is an objective state-trajectory of the material universe; I ignore quantum complications. If you know the uncentered world, it does not follow that you can predict your proximate observations, since you do not know which part of the uncentered world is here and now. A centered world is an uncentered world combined with a "here and now" tag for "where am I / what time is it". I examine consistent probability assignments over centered worlds, which have relevance to anthropics...