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

And so what we're just trying to put together now before we come out with the manuscript for this is, putting these two elliptic complexes together, the Dirac terms go between the two complexes, right? So the idea is that the stress-energy tensor should be the up-and-back term and the Dirac equations should come out of the term that goes up-and-over versus the term that goes over-and-up, and you need some cancellations to make sure that everything is of zeroth-order, properly invariant, etc. And that's taking a little time because frankly, I'm not good at keeping track of indices, minus signs, left-right—it's a learning-disabled nightmare.

[02:03:53] So, we've got one more unit to go. I mean, there's a fifth unit that has to do with mathematical applications, but this is sort of a physics talk for today. Is there any questions before we go into the last unit and then really handle questions for real? All right, let me show you the next little bit.

[02:04:18] We've got problems. We're not in four dimensions. We're in 14. We don't have great field content because we've just got these unadorned spinors, and we're doing gauge transformations effectively on the intrinsic geometric quantities, not on some safe auxiliary data that's tensor product with what are spinors are. How is it that we're going to find anything realistic? And then we have to remember everything we've been doing recently has been done on $$U$$.