A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions
A Portal Special Presentation- Geometric Unity: A First Look (edit)
Revision as of 03:13, 11 April 2020
, 11 April 2020→Connecting the Three Observations of Witten
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<p>[00:48:54] So what I want to do is I want to imagine a different sort of incompatibilities. So let's take our great three theories and just visually treat them as the vertices of a triangle. | <p>[00:48:54] So what I want to do is I want to imagine a different sort of incompatibilities. So let's take our great three theories and just visually treat them as the vertices of a triangle. | ||
<p>[00:49:14] So I'm going to put general relativity and Einstein's formulation. And, I'm going to put, the probably won't write this again. Yang-Mills | <p>[00:49:14] So I'm going to put general relativity and Einstein's formulation. And, I'm going to put, the probably won't write this again. Yang-Mills, Maxwell, [Philip Warren] Anderson, Higgs theory, over here, and I'm going to write the Dirac theory. | ||
<p>[00:49:39] What I want to explore is the incompatibilities, not at the quantum level. But the geometric input. All three of these are geometric theories. And the question is, what are the compatibilities or incompatibilities at the level of geometry -- before the theory is treated quantum mechanically? Well, in the case of Einstein's general relativity, we can rewrite the Einstein theory by saying that there's a projection map due to Einstein of a curvature tensor, where I'm going to write that curvature tensor as I would in the Yang-Mills theory. | <p>[00:49:39] What I want to explore is the incompatibilities, not at the quantum level. But the geometric input. All three of these are geometric theories. And the question is, what are the compatibilities or incompatibilities at the level of geometry -- before the theory is treated quantum mechanically? Well, in the case of Einstein's general relativity, we can rewrite the Einstein theory by saying that there's a projection map due to Einstein of a curvature tensor, where I'm going to write that curvature tensor as I would in the Yang-Mills theory. | ||