This is all just current theory of course and likely to changes as we learn more about our universe.
I am not an expert, but the theory suggests to me that space is a quantum quantity, in that only one piece of quantum matter can exist in one quantum of space. Other wise matter would simply be pulled into the larger space. Something must be preventing that, so I've assigned it (space) quantum characteristics.
Don’t have much time at the moment, but consider this...
“Observations suggest that the expansion of the universe will continue forever. If so, the universe will cool as it expands, eventually becoming too cold to sustain life. For this reason, this future scenario is popularly called the Big Freeze.[1]
If a cosmological constant accelerates the expansion of the universe, the space between clusters of galaxies will grow at an increasing rate. Redshift will have stretched ancient, incoming photons (even gamma rays) to undetectably long wavelengths and low energies.[2] Stars are expected to form normally for 1×1012 to 1×1014 years, but eventually the supply of gas needed for star formation will be exhausted. And as existing stars ran out of fuel and ceased shining, the universe would slowly and inexorably grow darker, one star at a time.[3] §IID, [4] According to theories that predict proton decay, the stellar remnants left behind would disappear, leaving behind only black holes which themselves eventually disappear as they emit Hawking radiation.[5] Ultimately, if the universe reaches a state in which the temperature approaches a uniform value, no further work will be possible, resulting in a final heat death of the universe.[6]”
http://en.wikipedia.org/wiki/Future_of_an_expanding_universe
In other words, there is nothing that I could find (yet?) suggesting that individual objects will eventually be torn apart by space expansion. The forces holding them together are too strong, particularly atoms. I’m not even sure that galaxies would be ripped apart. Gravity may continue to hold them together as well. If you can find some expert source that supports what you’re saying, please provide it.
This final sentence in my recent post (quoted piece below) might possibly support it to some degree. However, it isn’t suggesting that matter will be torn apart by the expansion, but rather through loss of energy as a result of the expansion and other factors (proton decay, Hawking Radiation(black holes), etc). But then, it just might be that matter comes to a ‘halt’ in the absence of energy, whatever that precisely means, not be ripped apart.
“Ultimately, if the universe reaches a state in which the temperature approaches a uniform value, no further work will be possible, resulting in a final heat death of the universe.[6]”
http://en.wikipedia.org/wiki/Future_of_an_expanding_universe