ThomasT said:
I think the discussion has resolved that my interpretation of what is meant by the "expansion of space" is not what is meant by mainstream cosmologists when they speak of the expansion of space -- and that what they mean by the expansion of space is simply that the distances between large scale cosmological structures are increasing.
Is this correct?
I believe so
the shorthand figure of speech refers to somewhat more----to the regular pattern of increase distance expressed in Hubble Law.
that on average and at large scale the rate of increase is proportional to the distance itself----the ratio being the Hubble parameter during whatever time period is being considered.
everything in that pattern is anchored to a particular idea of now. the distance to the galaxy where it is now at this instant, the rate of increase at this instant, and that idea of now of course requires an idea of all observers being at rest, in this case with respect to the CMB
you need that in order to define the idea of distance occurring in the law----to make any meaningful statement about distance one has to be very clear about what it means operationally (there are different ideas of distance)
this is the proper distance at the present moment, or whatever moment is being considered
but that is a technicality which there is rarely time to go into in a casual conversation
so the main thing is that when one says space expands it is a shorthand for saying that Hubble Law applies---that rate of distance increase is proportional to distance at large scale
it is actually an empirical fact. Hubble Law can be seen to work! so we arent just talking theory and models here.
On the other hand, the issue of what's actually happening in reality (with respect to the nature of empty space, etc.) seems to me to be maybe an unresolvable problem. I'm not sure how I want to think about this yet. ...
that is accurate and perceptive. it is actually a question of ONTOLOGY---what is the underlying reality from which appearances arise.
Naturally it would not be something one would be apt to state in the English language. Mathematics is normally found to describe things and then the math is popularized with metaphors and analogies. And we are right now in a revolution or transition between the CLASSICAL spacetime ontology of vintage 1915 Gen Rel and a new QUANTUM ontology where there is a deeper mathematics underlying the older version, from which the older emerges at large scale.
the fundamental descriptors (traditionally called degrees of freedom) at the micro level have not been established, but for a sample of what they might look like see my favorite SciAm article in my sig. the picture of spacetime at micro might be rough chaotic fluctuating geometry in which matter and geometry are intimately involved in their very existence with each other, the macro picture that arises from that rough chaotic picture is by contrast smooth. the SciAm article uses the analogy of snow. the flakes are feathery and fractally, but the snowdrifts and ski-slopes are smooth and rounded
But the discussion has been very helpful. I hope it continues, and that some other threads branch from it. There's enough "food for thought" to keep me busy for quite a long while I think...
Anyway, I gather that when mainstream cosmologists speak of "space", they're simply referring to the "metric" of some theory, and not the sort of physical cauldron of wave activity that I imagine it to be.
You are right. And that is the old CLASSICAL ontology. All that 1915 Gen Rel gives us is the metric. That is, it gives us the gravitational field itself (the field is essentially the metric up to an equivalence). And in classical Gen Rel there is no physical reality to points of spacetime. Events exist, like the collision of two particles, and geometric relations between exist.
And Gen Rel is still the established theory of spacetime geometry! It is our best and almost only theory of gravity! So naturally when people talk they are often referring to the classical ontology based on Gen Rel. What else can they use without risking speculation? So naturally they have to say that spacetime has no physical existence---as Einstein already pointed out.
But there is a more modern quantum ontology that people are working on, and you are already speculating yourself about what it could be. You present ideas in your post.
There is a new book scheduled to come out in March 2009 by Cambridge University Press called Approaches to Quantum Gravity---Towards a New Understanding of Space, Time, and Matter. and one of the early chapters is by GERARD 'T HOOFT. It will be interesting to see what he has to say. The chapter is called
The Fundamental Nature of Space and Time.
't Hooft leads the theoretical physics institute at Utrecht. He is senior to the researchers in the Utrecht group responsible for the SciAm article I mentioned, but though not part of the group he is aware of their research. He is a highly original thinker and I am looking forward to what he has to say. In fact the whole book, which includes chapters by over a dozen other top people, should be interesting. I think we are on a kind of threshold as regards the ontology of spacetime and matter.
But that is just my speculation. We can't ever know for certain what the future of fundamental physics research holds.