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 18:23, 25 April 2020
, 18:23, 25 April 2020→Part III: Starting in on Physics
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<p>[01:42:54] We're doing okay. | <p>[01:42:54] We're doing okay. | ||
===== | ===== GU III: Physics ===== | ||
<p>[01:43:06] Okay. We're not doing physics yet. We're just building tools. We've built ourselves a little bit of freedom. We have some reprieves. We've still got some very big debts to pay back for this magic beans trade. We're in the wrong dimension. We don't have good field content. We're stuck on this one spinor. | <p>[01:43:06] Okay. We're not doing physics yet. We're just building tools. We've built ourselves a little bit of freedom. We have some reprieves. We've still got some very big debts to pay back for this magic beans trade. We're in the wrong dimension. We don't have good field content. We're stuck on this one spinor. We've built ourselves an projection operators. We've picked up some symmetric, nonlinear Sigma field. | ||
<p>[01:43:33] What can we write down in terms of equations of motion: let's start with Einstein's concept. If we do, of the curvature tensor, but the gauge potential hit with an operator. Defined by the epsilon sigma field plus the star operator acting on the augmented torsion of the pair, this contains all of the information when $$\pi$$ is zero in Einstein's tensor. | |||
<p>[01:43:33] What can we write down in terms of equations of motion | |||
<p>[01:44:16] 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 $$\lambda$$ times $$G_{\mu \nu}$$, or a cosmological constant. | <p>[01:44:16] 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 $$\lambda$$ times $$G_{\mu \nu}$$, or a cosmological constant. | ||