The Scenario
Greater Sci-Fi combatant
In the Gen 4, the admin of Team Galactic named Cyrus captures Dialga/Palkia in order to destroy the universe/galaxy/world (all three worlds are used) and then create a new one that lacks emotion. He uses an object called the Red Chain (made from the crystals of 3 other Legendaries) to do this because using a pokeball either wouldn't work or would weaken them too much.
So the goal is to stop that from happening. At the climax of the game, Dialga/Palkia actually does start warping time/space but is stopped by the Emotion Trio of Pokemon, who presumably calm them down or otherwise make them stop doing their thing. That pretty much ends the arc.
In Platinum, however, Cyrus manages to capture both Dialga and Palkia, and they again start doing their thing. The Emotion Trio still shows up, but can only stop one of them, as the other is still powerful enough to accomplish the goal anyway. At that point, Giratina is disturbed by space/time being thrown out of balance, and throws an unbelievable tantrum that starts merging another realm called the Distortion World with the real world. This stops Dialga and Palkia, but now Giratina's rage is threatening overtake the world, and unlike the others he has no plans to make a new one.
The Distortion World is a place where the laws of physics are at best guidelines. Once the player is inside, they can start walking on walls and surf up waterfalls. Objects disappear and reappear randomly, or transform into something different entirely, and the whole thing is floating in an apparently endless void. In any case, the player manages to calm Giratina down and the Distortion stops. Everybody escapes but Cyrus, who is now stuck in the Distortion World.
That about covers it. Stuff does warp a bit on screen, but in all cases they get stopped before any permanent damage can be done. The mostly commonly used word during this is "world" and "galaxy" is a close second. Creating a new universe is referenced once or twice.