Biological evolution is well defined and well described. Evolution doesn't describe "life just happened''. You are confusing abiogenesis, the beginning of life, with biological evolution which describes the diversity if life and how that changes over time. Yours is a mistake commonly made among those without a science vocabulary.
Can you define ''evolutionary cosmology''? That appears to be a term you read at one of the ID'iot creationer ministries.
No, biological evolution is not well defined. Why don't you define it for me? I want to put your theories to the same test you put mine.
Furthermore, how is it's falsifiable? Some ToE proponents claim all life descended from a single, primordial protocell by variation and natural selection alone. This is not falsifiable. What do you claim? That's why I asked for you to define it.
ToE could be made up stuff and the evidence doesn't show it happens. Otherwise, we would practically accept ToE as mostly true, but it remains scientific atheism or one which takes a "leap of faith" to believe. For example, if it started with abiogenesis, then how can one falsify that hypothesis? If there is no beginning to ToE, then there isn't much to discuss here.
Evolutionary cosmology is the explanation of what was there before the big bang and the cause of the big bang. There is little valid explanation of how spacetime started nor where the energy came from. If singularity or quantum particle of infinite density and infinite temperature, then I don't think singularity can be falsified, but you tell me.
All of the above, I am open to your explanation. I'm just skeptical of your evolutionary theories.
Second, the idea that the universe had a beginning unique to a location (or an entity), is the remnant of an imaginative description by physicists. There was no big bang explosion that was the beginning of the universe, The term “singularity” used to describe the beginning of the universe is an artifact of the theory of general relativity. Solving the math resolves to a null value as the equations “break down”.
This has been explained to you repeatedly.
It had to have a beginning if space appeared and time started, so no imagination necessary. It's how our four dimensions work. And I said expansion, not explosion, so you are making stuff up.
It was an expansion in all directions and looked like the above as space and time expanded, too. Now, if you took a slice of the universe at a point in time, then it would look flat and curved around the edges.
Is that your explanation? That seems to fit the Bible theory (For example, what the Bible explains as God stretching out the heavens) better than the above of what we see with just the CMB, cosmic inflation, and big bang expansion. Where the energy came from is still not explained. How about gravity?