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 15:51, 10 April 2020
, 10 April 2020→Part II: Unified Field Content
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<p>[01:21:48] [The] first thing we need to do is we still have the right to choose intrinsic field content. [We] have an intrinsic field theory. So, if you consider the structure bundle of the spinors, we built the chimeric bundle, so we can define Dirac spinors on the chimeric bundle if we're in Euclidean signature. A 14-dimensional manifold has Dirac spinors of dimension-two to the dimension of the space divided by two. | <p>[01:21:48] [The] first thing we need to do is we still have the right to choose intrinsic field content. [We] have an intrinsic field theory. So, if you consider the structure bundle of the spinors, we built the chimeric bundle, so we can define Dirac spinors on the chimeric bundle if we're in Euclidean signature. A 14-dimensional manifold has Dirac spinors of dimension-two to the dimension of the space divided by two. | ||
<p>[01:22:20] Right? So 2^14 over 2^7 is 128, so we have a map into a structured group of $$U^128$$ | <p>[01:22:20] Right? So 2^14 over 2^7 is 128, so we have a map into a structured group of $$U^{128}$$ | ||
<p>[01:22:36] At least in Euclidean signature. We can get to mixed signatures later. From that, we can form the associated bundle. | <p>[01:22:36] At least in Euclidean signature. We can get to mixed signatures later. From that, we can form the associated bundle. | ||
<p>[01:22:54] And sections of this bundle are either, depending upon how you want to think about it, the gauge group $\H$ or $$\Xi$$, a space of sigma fields. | <p>[01:22:54] And sections of this bundle are either, depending upon how you want to think about it, the gauge group, $$\H$$ or $$\Xi$$, a space of sigma fields. | ||
<p>[01:23:18] Nonlinear. | <p>[01:23:18] Nonlinear. | ||