If Time were the 4th Dimension

Here is a possibility with time as the fourth dimension.
We all are familiar with 3 dimensions, X,Y and Z; Time is believed to be the 4th dimension. If that is true then we can keep X,Y,Z the same and change time, just as we can keep X,Y the same and change Z by moving on the Z axis. It would then be possible to keep X,Y,Z the same and move time, and if that were true then there can exist a parallel world along with us, and we would never know, as our time is changing at a different rate than theirs. So a parallel earth exists not anywhere, but with us, our atoms might be the part of another thing living or non living and by some quirk the two worlds might meet, this will be an awesome sci fi story.

I started thinking, a dream, might qualify as a time dimension movement, x,y,z remain the same but time moves, well not exactly true, but xyz with respect to our body remain the same but all other xyz and time move. Maybe thats why we have dreams as we are unconsciously part of another living being too, or non living if we dont have dreams hahaha.