/u/Outside-Writer9384's posts in /r/AskPhysics

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Why do we define Lagrangians on the tangent bundle and not on the phase space?

7 upvotes

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If we consider two spacetime manifolds equivalent in GR if there exists a diffeomorphism between them, why is it that although the sphere and the general ellipsiod are diffeomorphic, there is a metric that can distinguish between them?

4 upvotes

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How does the non geometric viewpoint of GR espoused by Weinberg and Feynman differ from the geometric viewpoint espoused by Wald, and why has it fallen out of favour?

4 upvotes

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Why is the diffeomorphism group of the circle Diff_k (S^1) relevant in conformal field theory?

2 upvotes

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Title	Upvotes	Mark as read	Favorited	Rating	Add to a list
Why do we define Lagrangians on the tangent bundle and not on the phase space?	7
If we consider two spacetime manifolds equivalent in GR if there exists a diffeomorphism between them, why is it that although the sphere and the general ellipsiod are diffeomorphic, there is a metric that can distinguish between them?	4
How does the non geometric viewpoint of GR espoused by Weinberg and Feynman differ from the geometric viewpoint espoused by Wald, and why has it fallen out of favour?	4
Why is the diffeomorphism group of the circle Diff_k (S^1) relevant in conformal field theory?	2