__Ben__

I'm here so you can do the math for me. But I can do basic math and I just checked. You're out by a factor of 10. I get 257 parts per million. Ok so that part of the Copernican principle seems to be OK. What about the part that says we don't occupy a special place in the universe. How many places are there that support life to ask the question?

Yeah, "from the average cmb temperature", again using statistics in a way to dismiss the anisotropy. What is that in a percentage difference from the average? After all the CMB is extremely cold isn't it?

"Due to isotropy, there is no `place' where the Big Bang occurred, there is no center point." @swansont Quote from the lecture you linked. Is it wise to teach this concept in this manner? This is separating space from time. This becomes obvious once the concept of space-time is understood and counter to this there is very much a centre point in the past.

From what we currently know, the best evidence is that there's a finite point in the past (the big bang) and the Universe is open, so there's an infinite future. Therefore a typical place in the universe will be somewhere in the distant future. A human and a tree aren't homogeneous and isotropic, but a value of how isotropic and homogeneous could be given to them. A forest and a population would undoubtedly have a higher value for both. Aren't we just forcing homogeneity and isotropy to fit with what we wish to be true by manipulating statistics? How do you explain the cold spot in the wmap cmb? It just averages out over the whole so can be ignored? https://en.m.wikipedia.org/wiki/CMB_cold_spot#:~:text=One possible explanation of the,us and the primordial CMB.&text=A 2015 study shows the,likely being associated with it.

Why do we assume we're in a normal place in the universe, when we're on a planet in a solar system in a galaxy that supports life? Isn't the vast majority of the universe the space between things? Why is it we ignore the small scales when concluding the universe is isotropic and homogeneous. When anything that is applied to is true. A billard ball is apparently more uneven than the planet earth when enlarged to the same scale. Isn't a typical place in the universe somewhere in a void between galaxies. Isn't it also a place in the extreme distant future?