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lriuui0x0's latest activity
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lriuui0x0
posted the thread
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Jacobi identity of Lie algebra intuition
in
Differential Geometry
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My intuition about the Lie algebra is that it tries to capture how infinitestimal group generators fails to commute. This means ##[a, a]...
Jan 9, 2022
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lriuui0x0
replied to the thread
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Can configuration space be observer independent?
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Sorry, the question may sound a bit weird. I will try to give a more detailed explanation on what structure I have in mind before rasing...
Jan 1, 2022
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lriuui0x0
replied to the thread
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Can configuration space be observer independent?
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I just don't usually see coordinate independent formulation of the configuration space.
Dec 30, 2021
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lriuui0x0
posted the thread
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Can configuration space be observer independent?
in
Classical Physics
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We can formulate the spacetime in an observer/coordinate independent way, i.e. a particle becomes a worldline in the 4d space. Then...
Dec 29, 2021
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lriuui0x0
replied to the thread
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Galilean transformation of non-inertial frame
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I think I started to understand why it's an unnatural thing to think about Galilean transformation on non-inertial observers, because...
Nov 28, 2021
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lriuui0x0
replied to the thread
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Galilean transformation of non-inertial frame
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What I originally had in mind is below: So we have an affine spacetime ##N^4##, the associated vector space ##V^4##, with the...
Nov 26, 2021
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lriuui0x0
replied to the thread
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Galilean transformation of non-inertial frame
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Hmmmm...there must be something I understood wrongly on this (why Galilean transformation is not applicable to non-inertial frame). I...
Nov 26, 2021
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lriuui0x0
replied to the thread
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Galilean transformation of non-inertial frame
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Actually given the transformation is Galilean, shouldn't the ##\mathbf{a}_1## and ##\mathbf{a}_2## be the same, up to an orthogonal...
Nov 26, 2021
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lriuui0x0
replied to the thread
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Galilean transformation of non-inertial frame
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If we take the definition from Arnold's The galilean group is the group of all transformations of a galilean space...
Nov 25, 2021
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lriuui0x0
posted the thread
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Galilean transformation of non-inertial frame
in
Classical Physics
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It's frequently discussed Galilean transformation brings one inertial frame to another inertial frame, and such a transformation leaves...
Nov 25, 2021
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lriuui0x0
replied to the thread
Relativity
Special relativity in Lagrangian and Hamiltonian language
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That's a really good recommendation! I wonder if there're classical mechanics books that follows a similar philosophy? E.g. starting...
Nov 16, 2021
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lriuui0x0
replied to the thread
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Reference frame vs coordinate system
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It's this book https://link.springer.com/book/10.1007/978-3-642-37276-6
Nov 16, 2021
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lriuui0x0
replied to the thread
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Reference frame vs coordinate system
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I found some new reference on this. In book "Special Relativity in General Frame", the concept of "local frame" is defined, similarly...
Nov 16, 2021
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lriuui0x0
replied to the thread
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Anyone knows why musical isomorphism is called so?
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Ooops, just thought there might be some interesting reasons for this name. Let's close this thread....
Nov 14, 2021
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lriuui0x0
posted the thread
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Anyone knows why musical isomorphism is called so?
in
Linear and Abstract Algebra
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Anyone knows why musical isomorphism is called so? Why is it musical? https://en.wikipedia.org/wiki/Musical_isomorphism
Nov 14, 2021
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