The landscape of your dream world has a consciousness all its own, and it is not uncommon for individuals to dream frequently of alternate universes. In fact, dreams by definition take us to an alternate- universe consciousness. This is one of those enigmatic dream symbols where the universal meaning is literal.
The landscape of any dream is an alternate universe of sorts.
If you have the sense that your dream is taking place in some other reality than the one you reside in, the first consideration will be to take in the theme and interpretation you are assigning the entire dream as a whole.
If the dream has a positive and uplifting feeling to it, the alternate universe may simply be a function of your unconscious being creative and expansive. However, there may be an element of wish fulfillment or denial being expressed. Creating an alternative universe might be a simplistic and convenient way of escaping the challenges that are present in the universe you call home.... Complete Dictionary of Dreams
To dream about a parallel universe predicts an unusual event on your horizon.
If you dreamed of meeting your parallel self, this means that you are coming into contact with some aspect of your psyche or unconscious. You are recognizing a part of yourself that was previously repressed or undeveloped.
If you dream of searching for your parallel self but never finding her/him, you could be feeling insecure about the path you are taking in life, or trying to adjust to a new situation in which the rules and conditions are ever changing.
If it’s somebody else who you’re searching for without success, you have unresolved feelings about that person.... My Dream Interpretation
Dreams of the universe signify your awareness of your connection to the whole of life, the big picture, your higher purpose, and your connection to all people and all things everywhere.... Strangest Dream Explanations
Vision: Dreaming about the universe: your hopes that something is going to change won’t come true. See Planets, Star.
Depth Psychology: The world represents the thoughts and ideals that guide your everyday life—your existence. What does your world look like? The rest of the images, the condition, and the color of this world or universe is important here. See Earth.... Dreamers Dictionary