Difference between revisions of "A Portal Special Presentation- Geometric Unity: A First Look"
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A Portal Special Presentation- Geometric Unity: A First Look (view source)
Revision as of 14:50, 10 April 2020
, 14:50, 10 April 2020→Connecting the Three Observations of Witten
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<p>[00:50:23] That should be an "LC" for Levi-Civita. So, the Einstein projection of the curvature tensor of the Levi-Civita connection of the metric on this side, and on this side, I'm going to write down this differential operator: the adjoint of the exterior derivative coupled to a connection. | <p>[00:50:23] That should be an "LC" for Levi-Civita. So, the Einstein projection of the curvature tensor of the Levi-Civita connection of the metric on this side, and on this side, I'm going to write down this differential operator: the adjoint of the exterior derivative coupled to a connection. | ||
<p>[00:50:47] And you begin to see that we're missing an opportunity, potentially. What if the | <p>[00:50:47] And you begin to see that we're missing an opportunity, potentially. What if the $F_A$s were the same in both contexts? Then you're applying two separate operators: 1) zeroth-order and destructive, in the sense that it doesn't see the entire curvature tensor; the other) inclusive, but of first-order. And so the question is, is there any opportunity to do anything that combines these two? | ||
<p>[00:51:15] But the problem is, is that the hallmark of the Yang-Mills theory is the freedom to choose the data, the internal quantum numbers that give all the particles their personalities beyond the mass and the spin. | <p>[00:51:15] But the problem is, is that the hallmark of the Yang-Mills theory is the freedom to choose the data, the internal quantum numbers that give all the particles their personalities beyond the mass and the spin. |