A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions
A Portal Special Presentation- Geometric Unity: A First Look (edit)
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<p>[02:20:49] Who and what correspond to bosons and fermions. And how and why correspond to equations and the Lagrangian that generates them. So, if you think about those six quantities, you'll realize that that's really what the content of a fundamental theory is assuming that it can be quantized properly. Most fields and, in this case, we're going to call the collection of two-tuples $$\omega$$. So the inside of $$\omega$$ that will be in the first tuple will have $$\epsilon$$ and $$\ | <p>[02:20:49] Who and what correspond to bosons and fermions. And how and why correspond to equations and the Lagrangian that generates them. So, if you think about those six quantities, you'll realize that that's really what the content of a fundamental theory is assuming that it can be quantized properly. Most fields and, in this case, we're going to call the collection of two-tuples $$\omega$$. So the inside of $$\omega$$ that will be in the first tuple will have $$\epsilon$$ and $$\varpi$$ written sort of an nontraditional variation of how we write this symbol for $$\varpi$$. In the second tuple, we'll have the letters, $$\nu$$ and $$\zeta$$. And I would like them not to move because they honor particular people who are important (NB: children are named N. and Z.). | ||
<p>[02:21:36] So most fields, in this case, $$\Omega$$, are dancing on $$Y$$, which was called $$U$$ in the lecture, unfortunately, but they are observed via pullback as if they lived on $$X$$. In other words, if you're sitting in the stands, you might feel that you're actually literally on the pitch, even though that's not true. So what we've done is we've taken the U of Wheeler, we've put it on its back and created a double-U ("W") structure. | <p>[02:21:36] So most fields, in this case, $$\Omega$$, are dancing on $$Y$$, which was called $$U$$ in the lecture, unfortunately, but they are observed via pullback as if they lived on $$X$$. In other words, if you're sitting in the stands, you might feel that you're actually literally on the pitch, even though that's not true. So what we've done is we've taken the U of Wheeler, we've put it on its back and created a double-U ("W") structure. | ||