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A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions
A Portal Special Presentation- Geometric Unity: A First Look (edit)
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''[https://youtu.be/Z7rd04KzLcg?t=7249 02:00:49]''<br> | ''[https://youtu.be/Z7rd04KzLcg?t=7249 02:00:49]''<br> | ||
So I can now look—let's call that entire replacement, which we previously called \(\alpha\), I'm going to set \(\alpha\) equal to \(\Upsilon\), because I've actually been using \(\Upsilon\), the portion of it that is just the first-order equations, and take the norm squared of that, that gives me a new Lagrangian. And if I solve that new Lagrangian, it leads to equations of motion that look like exactly what we said before. | So I can now look—let's call that entire replacement, which we previously called \(\alpha\), I'm going to set \(\alpha\) equal to \(\Upsilon\), because I've actually been using \(\Upsilon\), the portion of it that is just the first-order equations, and take the norm squared of that, that gives me a new Lagrangian. And if I solve that new Lagrangian, it leads to equations of motion that look like exactly what we said before. | ||
<div style="text-align: center; margin-left: auto; margin-right: auto;">$$ \alpha = \Upsilon $$</div> | |||
<div style="text-align: center; margin-left: auto; margin-right: auto;">$$ ||\Upsilon||^2 \rightarrow \delta^\omega(\mathscr{D}_2^\omega \circ \mathscr{D}_1^\omega) $$</div> | |||
''[https://youtu.be/Z7rd04KzLcg?t=7288 02:01:28]''<br> | ''[https://youtu.be/Z7rd04KzLcg?t=7288 02:01:28]''<br> | ||