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 21:50, 7 April 2020
, 7 April 2020changed "defamation" to "deformation"
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<p>[01:52:21] Well, that's pretty good. If true,</div> | <p>[01:52:21] Well, that's pretty good. If true,</div> | ||
<p>[01:52:26] can you go farther? Well, look | <p>[01:52:26] can you go farther? Well, look at how close this field content is to the picture from deformation theory that we learned about in low dimensions. The low dimensional world works. By saying that symmetries map to field content</div> | ||
<p>[01:52:50] map to equations usually in the curvature. And when you linearize that if you're in low enough dimensions, you have Omega zero Omega one. Sometimes I make a zero again and then something that comes from Omega two and if you can get that sequence to terminate by looking at something like a half signature theorem or a bent back.</div> | <p>[01:52:50] map to equations usually in the curvature. And when you linearize that if you're in low enough dimensions, you have Omega zero Omega one. Sometimes I make a zero again and then something that comes from Omega two and if you can get that sequence to terminate by looking at something like a half signature theorem or a bent back.</div> | ||
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<p>[01:54:00] Omega d minus one add, and it's almost the same operator.</div> | <p>[01:54:00] Omega d minus one add, and it's almost the same operator.</div> | ||
<p>[01:54:09] And this is now not just a great guess, it's actually the information for the | <p>[01:54:09] And this is now not just a great guess, it's actually the information for the deformation theory of the linearized replacement of the Einstein field equations. So this is computing the dirt Zariski tangent space. Just as if you were doing self duel theory or Chern-Simon's theory, you've got two somatic complexes, right?</div> | ||
<p>[01:54:33] One of them is Bose. One of them is Fermi. The obstruction to both of them is a common generalization of the Einstein field equations. What's more is if you, if you start to think about this, this is some version of Hodge theory with funky operators, so you can ask yourself, well, what are the harmonic forms in a fractional spin context?</div> | <p>[01:54:33] One of them is Bose. One of them is Fermi. The obstruction to both of them is a common generalization of the Einstein field equations. What's more is if you, if you start to think about this, this is some version of Hodge theory with funky operators, so you can ask yourself, well, what are the harmonic forms in a fractional spin context?</div> | ||