Every Sekai has a switch/lever hidden in it that allows for the physics of the Sekai to just stop working in some ways. The changes don’t actually hurt any of the group members, but it can lead to weird scenarios if the switch is activated without them knowing. A small list of the effects, and how the Sekai members find out:
School Sekai: Walking through walls, making transversing the sekai easier. Discovered after Saki accidentally misses the door when walking into a classroom and phases through the wall.
Stage Sekai: Spatial Distortion. Includes things like teleporting, being able to reach things incredibly further than you should be able to reach, etc. Discovered after Minori accidentally falls off the front of the stage after tripping near the back of the stage.
Street Sekai: Localized gravity. Don’t really know the correct term for it, but imagine being able to switch your gravity so you can just straight up walk on walls. Used to explore the Sekai. Discovered after An dared Akito to climb a building.
Wonderland Sekai: Cartoon Physics. The best way I can put this is to imagine Space Jam. Discovered after Nenerobo steps on Tsukasa’s foot and the foot just turns entirely flat.
Empty Sekai: Flight. Mostly like the flight in Leter Pan, where you need to believe in flying to fly. Discovered after Kanade was working on a song somewhat relating to flying, and suddenly realizing she was 5 meters off the ground.