1) Four-dimensional realm 2) Science fiction theme 1) Space 
[software] Hyperspace is an instant-on Linux-based operating system that has been developed by Phoenix Technologies. It is an application environment that can run either independently or side-by-side with a traditional operating system such as Red Hat Linux. Users are able to boot their personal computers in seconds and immediately browse t...[book] Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the 10th Dimension (1994, ISBN 0-19-286189-1) is a book by Michio Kaku, a theoretical physicist from the City College of New York. It focuses on Kaku`s studies of higher dimensions referred to as hyperspace. The recurring theme of the book is that all four f...
• (n.) An imagined space having more than three dimensions.
Popularized in Asteroids (1980), this causes you ship to disappear and reappear in a random location. It's useful to escape dangerous situations, but can sometimes put you in a far worse predicament. Death on re-entry is also possible.
• Space above the third dimension. See also higher dimensions. • A fictional space in which the usual laws of physics may be circumvented allowing faster-than-light (FTL) travel or time travel. One common model of FTL is that a starship can somehow exit normal space to a domain in whic...
Hy'per·space (-spās) noun [ Prefix hyper- + space .] (Geom.) An imagined space having more than three dimensions. 
Hyperspace is the name of the official Star Wars fan club 
a Euclidean space of dimension greater than three.