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If something crossed the horizon of the observable Universe, does this mean that all information about it is lost forever? If yes (or no), how this fits with the information-cannot-be-lost law?

Also, does it mean that the energy of our observable Universe is constantly decreasing? If yes, what are the consequences of that?

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The horizon of the observable universe can be thought as a type of cosmic event horizon. Therefore the same paradox applies to it like in the case of black holes.

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