Any volume of space containing no particle of matter, is still not empty. Even the absolute vacuum has a pressure measure of zero but in universe there are places which have negative pressure.
This proves that even when there is no matter available, we can not call it empty and thus space is not empty but filled with something which is the origin (zero) of the frame of reference for all the matter (not for dark matter). This is why we think that space is empty while the reality is that, it is not.
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