This old theory can not really explain CMB,
Even if that were true: can Yang's model even come that close? I've asked you about the Cl's of the CMB before multiple times, and you've chosen to ignore that. Can I interpret that silence as a defeat?
it is obvious that the most essential characteristic of CMB is its uniformity, which symbolizes the earlier the universe is, the more uniform it is.
It's debatable if that's the most essential characteristic. I think the anisotropies are actually even more important.
However, the old theory exists the horizon's difficulty, that is, can't explain early uniformity after big bang.
Even heard of inflation? A perfectly viable solution to this problem was resolved years ago.
In oder to solve the difficulty one put forward the inflationary universe,namely, in early universe there was a sharp expansion process, in which cosmic uniformity rapidly largen.
Ah, so you have heard of it! Then why do you say it can't explain it, when even you are aware that it can? Are you being intellectually dishonest yet again?
But the reasonableness of this inflation is more difficult, no one is sure that it must happened, let alone be tested experimentally.
No one is sure the big bang happened. The big bang is also not experimentally tested. Universal expansion isn't experimentally tested. Black holes aren't experimentally tested.
None of these are reasons to dismiss the idea.
It is Yang's modification that connects current cosmic uniformity in large scale with the early uniformity in small scale, and Yang proved that today's uniformity in large scale is the magnifying of the early uniformity, that is to say, in Yang's framework the early uniformity is an inevitable conclusion derived from today's uniformity of large scale.
In the same way that the current cosmological model does. Again, what's the difference? If you are claiming that Yang's model can derive this from first principles, cool. Now demonstrate it, and demonstrate that it can model things like the Cl's of the CMB correctly, and we might be getting somewhere.
Why do I have a strong feeling you're not going to be able to do that, though?
In Yang's theory, universal expansion means: all are synchronously growing , space is creating ,
Just as with the current model...
I assume you mean: is being generate?
Well, that's possible in the current model as well. Look into particle pair creation. But I know: that's not what you're talking about. So then, let's see the evidence you have for claiming the creation of matter out of nothing.
celestial bodies are growing,
Evidence please.
galaxies are growing, and so on.
Evidence please.
and in Yang's modified theory expansion and contraction are cyclic, big bangs happened countless times,
Which, currently, is unfalsifiable, so that's useless to discuss at the moment.
This is also possible in the current model in cosmology, so I don't see how that matters for this discussion?
In short, there has been no real progress in general relativity in the last 20 years
I think the discovery of gravitational waves is quite big. And the final confirmation of GR above Newton with Probe B. Clearly, you (once again) have no idea what you are talking about.