Not sure how I missed this thread ...... I too love this stuff, and although I'm a Physics grad from many moons ago wouldn't pretend to be an expert - although to be fair I don't think anybody really is an 'expert', it's just the likes of Brian Cox et al who know more than the rest of us mortals.
Anyway, here are a couple of very good links below that are really quite digestible whether you have any science background or not and will certainly help with Mervyn's original question.
It is indeed all about accounting for the expansion of space itself (General Relativity) as well as how fast things are moving thru' it (Special Relativity). A couple of the posts above question how fast space itself is expanding ..... but as the links both show that depends where/what you are looking at (ie how far the object is away from us). The more distant it is the faster it is receding to the point where it is effectively moving faster than the speed of light from us in terms of 'special relativity' .... even though it's not really. (Read the links to get that explained far more clearly).
To add to the complication (although not mentioned in these links) both time and space are inter-twined and given that we define 'speed' as the distance moved (thru' a space) in a particular time period then things get very blurred indeed.
Something that freaks me out is that this isn't just some weird abstract theory but something we have to accommodate with our SatNav systems and something I work with simulating our satellite signals. Basically the time that passes for our GPS satellites (other systems are available) which are about 12,000 miles from Earth is quite different to the time that passes for us here on Earth. In other words the clocks on the satellites run at a quite different rate to identical clocks on Earth. Just think about that for a bit ..... How mind-bending is that? It challenges our human perception of time if it flows differently depending where you are and how fast you are moving thru' space!!
If it wasn't for a certain very clever chap by the name of Einstein who figured this out way before satellites were launched and gave us equations to work out precisely the offsets that need to be accounted for then we'd never have SatNav systems to direct huge lorries down narrow country lanes. However, that difference in time for Earth and the satellites is not to do with expansion of space but the effect of gravity - or more precisely the way the mass of the Earth distorts the space-time around us. Those photos from Hubble and the JWST that show galaxy clusters allow us to actually see how space (and time) can be warped by large objects. It's quite bizarre - it means more distant galaxies beyond the cluster appear as if we are viewing them thru' a lens appearing magnified and on either edge. How freaky is that? Space-time itself bending! But bending into what?? ...... Time for a lie down methinks
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If it can stretch the Universe from the size of a subatomic particle to billions of light years in a fraction of a second, why doesn't Einstein's relativity forbid it?
www.forbes.com