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

''[https://youtu.be/Z7rd04KzLcg?t=6256 01:44:16]''<br>

''[https://youtu.be/Z7rd04KzLcg?t=6256 01:44:16]''<br>

In other words, there is a spinorial analog of the Weyl curvature, a spinorial analog of the traceless Ricci curvature, and a spinorial analog of the scalar curvature. This operator should shear off the analog of the Weyl curvature just the way the Einstein's projection shears off the Weyl curvature when you're looking at the tangent bundle. And this term, which is now gauge invariant, may be considered as containing a piece that looks like \(\Lambda g_{\mu \nu}\), or a cosmological constant, and this piece here can be made to contain a piece that looks like Einstein's tensor, and so this looks very much like the vacuum field equations. But we have to add in something else. I'll be a little bit vague 'cause I'm still giving myself some freedom as we write this up.

In other words, there is a spinorial analog of the Weyl curvature, a spinorial analog of the traceless Ricci curvature, and a spinorial analog of the scalar curvature. This operator should shear off the analog of the Weyl curvature just the way the Einstein's projection shears off the Weyl curvature when you're looking at the tangent bundle. And this term, which is now gauge invariant, may be considered as containing a piece that looks like \(\Lambda g_{\mu \nu}\), or a cosmological constant, and this piece here can be made to contain a piece that looks like Einstein's tensor, and so this looks very much like the vacuum field equations. But we have to add in something else. I'll be a little bit vague 'cause I'm still giving myself some freedom as we write this up.

''[https://youtu.be/Z7rd04KzLcg?t=6325 01:45:25]''<br>

''[https://youtu.be/Z7rd04KzLcg?t=6325 01:45:25]''<br>