Does the vacuum of space have a detectable mass?

I'm thinking to some extent in terms of both "dark matter", and the nineteenth century concept of the "aether", the idea that there exists matter of some type that cannot be readily detected in much of space, but which may interact with gravitational forces. Is there any kind of experiment one could do to evaluate whether the vacuum of space has a detectable mass? If so, could one then attempt to analyze and break down and manipulate this matter, perhaps using particle accelerators?