A slice of space..and time. Visual metaphor implies spacetime as independent of observer as I am currently try to envision what you are saying. Or does "phase space" automatically include space- time & obsevr? Don't you have a slide for this lying around?
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In our universe, time functions fundamentally different from space: the rotation is hyperbolic, but more importantly, information in different temporal states is the same, just differently arranged, while information in different spatial regions is different.
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If I an observer exist in single universe slice and I can see you the other observer in my universe how can I conceive that you only exist in some other single universe slice while I already observed you in mine?
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You and me only exist as models of observations. We find ourselves in the same universe slice by definition.
End of conversation
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