- Dark matter is not required.
- Dark energy is not required.
- The CMB (cosmic microwave background), which traditionally is a result of the reionization period, is now explained by gravity.
- The universe is eternal, and has eternally been in dynamic equilibrium, with only local changes.
Item #4 is fishy to me. I don't see how galaxies, once evolved, can be recycled into the rest of the universe. Mayer also mentions the concept of not being able to see time orthogonal to your own. I would speculate that you can only see the projection of somewhere else's time onto your own time axis. Somewhere with their time vector going 180º to ours would appear to be evolving backwards. I think the point of this talk is that it's not well understood, and he claims to have another self-consistent model, and more data is required to determine whether his or the traditional one works better with the observations.
Mayer then gets into some theoretical geometry - such as how you can explain why we see fewer galaxies in the past if we assume either non-Euclidian geometry or assuming accelerating expansion. He kinda glosses over how it could be instead a measurement bias (it's harder to see further, fainter galaxies), or just that there were fewer galaxies. So basically, his talk is just a little too complex for a layperson, and some parts are a little too simple for someone who knows his stuff. I don't blame him really, it's damned hard to present complex material at the appropriate level!
I made it to around slide 24 (of 90) before it started overwhelming me. It's tough for me to wrap my head around this stuff. I understand some of cosmology in general just enough to follow it, but not enough to explain it well yet. If you, gentle reader, have specific questions, I would enjoy answering them, as I find that trying to explain to others often helps me further my own understanding. I won't guarantee I'll be right, or even comprehensible, but I shall try my best. :)