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 03:46, 11 April 2020
, 11 April 2020→Four flavors of GU with a focus on the endogenous version
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<p>[01:07:41] The next model we have is the bundle-theoretic, in which case, $$U$$ sits over $$X$$, as a fiber bundle. | <p>[01:07:41] The next model we have is the bundle-theoretic, in which case, $$U$$ sits over $$X$$, as a fiber bundle. | ||
<p>[01:07:58] The most exciting, which is the one we'll deal with today, is the endogenous model where $$X^4$$ actually grows the space U, where the activity takes place. So, we talked about extra dimensions, but these are, in some sense, not extra dimensions. They are implicit dimensions within $$X^4$$. | <p>[01:07:58] The most exciting, which is the one we'll deal with today, is the endogenous model where $$X^4$$ actually grows the space $$U$$, where the activity takes place. So, we talked about extra dimensions, but these are, in some sense, not extra dimensions. They are implicit dimensions within $$X^4$$. | ||
And last, to proceed without loss of generality, we have the tautological model. In that case, $$X^4$$ equals $$U$$. And the immersion is the identity. And without loss of generality, we simply play our games on one space. | And last, to proceed without loss of generality, we have the tautological model. In that case, $$X^4$$ equals $$U$$. And the immersion is the identity. And without loss of generality, we simply play our games on one space. | ||