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It's a flawed theory, that's why they have to jump from "If this happens then this happens. But if that can happen, then this can happen, then. Oh, it doesn't work anymore"
The 5th dimension doesn't work because it relies on assuming Time can be three dimensional--one thing can happen without another happening. For example, travelling forward in time directly to when you're successful. This can't happen because time is in fact linear and can't be any other way. You can't be successful without doing something to become successful. If you jump through time, you've done NOTHING (you didn't exist).
Then jumping to where gravity doesn't exist and different speed of light in those other dimensions makes no sense unless you can state that there are other particles that could physically exist in the right conditions. Otherwise, that makes no sense either because the basic rules of physics would still apply.
Any theory that requires the possibility of time-travel is flawed, and we see that in the this-to-that approach in dimensions.