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

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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.  
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