Proponents suggested a number of arguments to support the existence of possible multiple universes. Here are few intriguing theories that are stranger than any science fiction novel.
Bubble Theory:

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First introduced by Andrei Linde, the theory assumes that our universe as well as numerous other universes was formed from a “bubble” of a “parent universe”. According to the theory, due to quantum fluctuations, the bubble or “foam” created many other small “bubbles”, which later inflated into universes. These universes can have their own set of physical laws and constants different from ours. Some might have life forms unique from ours whereas others might have life forms beyond our imagination. This theory is popularly known as Chaotic Inflation Theory and is considered as a variety of the inflationary universe model.
Many Worlds Interpretation:
Hugh Everett’s many-world interpretation (MWI) is as fascinating as a sci-fi movie. It is a theory within quantum mechanics. According to MWI, the universe contains certain random or non-deterministic events, which the theory assumes to be fully deterministic. If a 6-sided die is thrown, the event is completely random as you cannot predict the result. But, according to the theory, the universe will split itself into six different versions, each containing a different outcome. Therefore, one universe will have a die with the number 5, another with 4 and so on…
To be precise, the MWI assumes that there is only one universe, but it splits into “many worlds” or universes to determine each outcome for non-deterministic events. However, these universes cannot interact with each other. It is said that truth is stranger than fiction. Well, the MWI certainly fits the phrase.
M-theory:
This multiverse theory unifies different versions of the string theory put forward by researchers. Proponents of the M-theory suggest that infinitely small building blocks called strings are in fact one dimensional parts of a two dimensional membrane in an eleven dimension space. Numerous universes (including ours) are created by conflicts between these membranes. This theory was suggested by Edward Witten and few other key researchers in the mid-90s. Much has to be proven in M-theory, but it has been given a thumbs-up by different cosmologists, including Stephen Hawking.
There are many concepts and serious theories such as the Tegmark’s classification of parallel universes--a set of famous theories which share the same idea that there are universes beyond the observable one. Tegmark's classification divides these theories into 4 levels to make a clear and detailed description about parallel universes. Other theories such as open multiverse and String Landscape are quite thought-provoking, but the above three are some of the strangest theories about multiple universes and more perplexing than any science fiction movie or novel!
(image, above, left: a diagram depicting the bubble universe theory. Universes 1 to 6 are different bubbles with physical constants different from our universe. Our universe is just one of these bubbles. Source: Wikipedia)