Yes, Akatsuki rings use similar technology to Kamui. The only difference is that the ring’s user has to know how to utilize their special technique, while with Kamui you just have to think about it like with teleportation and the destination appears before your eyes.
This version of space-time manipulation relies on a backup space where both destination and appearance are stored within the Akatsuki based off of data from its surroundings at any given moment in time, this creates an intermediate storage node for jumping between dimensions without having to directly interfere with surrounding space-time. And because these worlds don’t exist simultaneously, hence they technically can’t be interfered by one another but also cannot make contact via tele-, they effectively create wormholes separate from each other.
To create a reality that possesses different data from the rest of spacetime around it while also being integrated with said data at the same time, is something I cannot comprehend no matter how many times I read this paragraph… But isn’t this completely irrelevant to anyone but Orochimaru? And since he’s already dead, why do we even need to know this?
It’s easy! You just draw a circle and… uhm… Well actually it’s quite complicated. A real ninja probably knows about this stuff more than anyone else.