What is expansion of space? Is it really physical?
The most important idea behind the Big Bang theory is that, acc. to the general relativity theory, the metrics of space are expanding, which becomes observable in the form of an appearant redshift-distance relation (Hubble relation).
But what is in fact this concept of "expansion of space". Is it some physical event, with an underlying physical process explaining it, or what?
Space itself, when we see it from a "classical" point of view, is not a substance or something. The metrics of space in the classical sense are purely defined by measuring distances between bodies in space. Measuring "space itself" is something clearly out of the question. At least in our classical conception of space. In the classical conception of space, the expansion of space could not even be stated, we could only state that bodies distantiate themself in space, which is of course the same as stating that those bodies recede away from each other, and have therefore a nonzero velocity relative to one another.
In the classical sense a change of the metrics of space would not be a physical phenomena. In the same way as changing our rulers (units of measure) would not change anything physically. All physical phenomena stay the same when we would switch our units of measurement. (the only thing that would change were our textbooks of physics, which would have to be rewritten in the new measurement units). This is even true when we would have a "flexible" measurement unit (one that changes as a function of some other physical entity, for instance time; if we were to state that the unit of length were to double each year, then of course all physical interactions become much more difficult to calculate, yet the physical world itself does not change because of this weird choice of measurement unit).
Now quantum mechanics and relativity come into play, in which our classical concept of space ain't correct any more. We can adress physical properties to space. Electro magnetic theories also adress properties of space.
Also we know that space can't be exactly empty, acc. to the Heisenberg Uncertainty Principle.
So, my question then is, if we apply this to the concept of expansion of space, and reason that only the changing metric does not change anything physically (which is the case in classical point of view), what physical changes take place in space that would cause space to expand.
It can't just be a change in the metric or scale factor, as they are not themselves something physical (i suppose), or are they?
In a theoretical situation of a universe as large as ours, and we have two very distantiated objects (like some billion light year), how can we ever state that the appearant increase in distance (which we somehow measure) is due to expansion of space, instead of a relative velocity (objects receding from one another)?
Sometimes this is misnoted as that in one case, the two very far apart objects are not moving (relative to surrounding space), and therefor the appearant recission speed is due to expanding of space, and in the other case, the objects do recede from each other (they are moving relative to surrounding space).
Yet, this whole explenation is somehow inconvincing, since it makes use of the concept of "moving relative to surrounding space". Acc. to relativity itself , this is not a valid concept, since we can only state something about objects moving relative to each other (and not relative to space itself!).
Am I misconceiving something, or how is it that all of a sudden we must make statements to explain what expansion of space really is (and how it differs from normal relative motion), which uses concepts which by the very same theory that would cause this effect in the first place, is simply not a valid concept.
So either the motion of an object relative to space itself is a valid concept, or not. If it is not a valid concept, then how do we explain the difference between simple motion of objects relative to each other (very far remote objects) and the expansion of space?
If it is a valid concept, then how can we calculate our relative motion to surrounding space. Perhaps relative to the CMBR?