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>Time Capsule exists, but it could only connect between a couple of years between two fixed points in time, no paradox mons
>A time traveling fairy and a diety of time itself exists, but nether of those were aware of the paradox mons existing
>Fossils to revive actual prehistoric pokemon exist, but no paradox mon
>Any instance of time or dimensional travel in the series hasn't come across anything out of the ordinary, no paradox mons
Its not a time machine, the professor just thinks its a time machine because its spitting out exactly the magical schizo mons he/she wanted to get from it