>>51090638The multiverse is canon and there is no defined limit to how far it expands.
Therefore we can only assume a hypothetical "infinity" because the multiverse is also used to explain how game copies interact with one another to some capacity as of BW. You're interacting with another universe, which explains why you can interact with someone who has the same goals and accomplishments as your own player character, and also has otherwise one-of-a-kind Pokemon.