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 05:20, 11 April 2020
, 11 April 2020→Part III: Unified Field Content Plus a Toolkit
| Line 504: | Line 504: | ||
<p>[01:37:15] So I actually have a fair amount of freedom and I'm going to use a magic bracket notation, which in whatever situation I'm looking for, knows what it wants to be is does it want to do contraction? Does want to do wedge product, Lie product, Jordan product? But the point is, I now have a suite of ways of moving forms around. | <p>[01:37:15] So I actually have a fair amount of freedom and I'm going to use a magic bracket notation, which in whatever situation I'm looking for, knows what it wants to be is does it want to do contraction? Does want to do wedge product, Lie product, Jordan product? But the point is, I now have a suite of ways of moving forms around. | ||
<p>[01:37:34] So for example, I can define a | <p>[01:37:34] So for example, I can define a Shiab operator. Okay. That takes, I forms valued in the adjoint bundle. | ||
<p>[01:37:59] To much higher degree forms valued in the adjoint bundle. So for this, in this case, for example, it would take a two form two a D minus three plus two or a D minus one form. So curvature is an add value two form. And if I had such a Cieve? operator, it would take add value tow form to add value. D minus one forms, which is exactly the right space to be an alpha coming from the derivative of an action. | <p>[01:37:59] To much higher degree forms valued in the adjoint bundle. So for this, in this case, for example, it would take a two form two a D minus three plus two or a D minus one form. So curvature is an add value two form. And if I had such a Cieve? operator, it would take add value tow form to add value. D minus one forms, which is exactly the right space to be an alpha coming from the derivative of an action. | ||