A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions

''[https://youtu.be/Z7rd04KzLcg?t=7867 02:11:07]''<br>

So in other words, just to recap, starting with nothing other than a four-manifold, we built a bundle \(U\). The bundle \(U\) had no metric, but it almost had a metric. It had a metric up to a connection. There was another bundle on top of that bundle called the chimeric bundle. The chimeric bundle had an intrinsic metric. We built our spinors on that. We restricted ourselves to those spinors. We moved most of our attention to the emergent metric on \(U^{14}\), which gave us a map between the chimeric bundle and the tangent bundle of \(U^{14}\). We built a toolkit, allowing us to choose symmetric field content, to define equations of motion on the cotangent space of that field content, to form a homogeneous vector bundle with the fermions, to come up with unifications of the Einstein field equations, Yang-Mills equations, and Dirac equations. We then broke those things apart under decomposition, pulling things back from \(U^{14}\), and we found a three-generation model where nothing has been put in by hand, and we have a 10-dimensional normal component, which looks like the \(\text{Spin}(10)\) theory.

''[https://youtu.be/Z7rd04KzLcg?t=7954 02:12:34]''<br>

I can tell you where there are problems in this story. I can tell you that when we moved from Euclidean metric to Minkowski metric, we seem to be off by a sign somewhere, or I could be mistaken. I could tell you that the propagation in 14 dimensions has to be worked out so that we would be fooled into thinking we were on a four-dimensional world. There are lots of things to ask about this theory. But I find it remarkable that, tying our hands, we find ourselves with new equations, unifications, and three generations in a way that seems surprisingly rich, certainly unexpected... And I think I'll stop there. Thank you very much for your time.