Not entirely sure how your unniverse would function or why you would need a particular dimension for thought, emotion and solidity (What do you mean?). It makes no sense why you would assume that emotion and thought would have their own dimension if it would easier to assume if they were part of energy, unless you have some good reasoning.
Even in your unniverse time travel is still fundamentally impossible, time is not the dimension you are making it look like. History is not recorded it is simply a system humans have developed, as is the future. We talk about future and past but we are only ever in one state; present.