In 
science fiction, 
hyperspace (
subspace in 
Star Trek) refers to a region somehow alongside and connected with our own 
universe (in some cases displaced in the fifth 
dimension) which may be entered using some sort of energy field.  Often spacecraft have some sort of drive capable of taking it into hyperspace, which has either different physical laws or a different geometry, allowing the craft to cross the universe at 
faster-than-light speeds and hence facilitating 
interstellar travel.
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