Відео

Awesome thank you

Wow, this video is amazing! It just cleared up so many questions I’ve been struggling with for a while.

Hello. Is it possible to get in touch with you?

Great Explanation!! Thanks!

Amazing explanation!! Standing ovation for you good sir!

How about the isotropes of an electric field? Does it look like a magnetic field?

4:17 Quite obscure here. What is on the x and y axes on that graph?

neat. thank you

Although I am not a fan of this idea of emergence I have to thank you for the explanation. It is much better to understand and to the point than on the big channels ❤

So the primar assumption behind renormalisation is that this systems are scale invariant? How can that assumption be true in quantum physics where we already know that quantum objects have different abilities than larger objects (f.e. larger objects can't be in two places at once).

"a fairly good description of the properties of water". Water modells can not model all properties of water at all densities and temperatures correctly, and a sane person should from this conclude that our model of water, and matter as such has been falsified as wrong. Now to avoid this conclusion the fancy term "emergence" has been invented.😢

... because one approaches fixed points, that make everything simpler?

seeing the phase plot makes my control theory ass so excited, maybe we can establish some Lyapunov stability of a renormalization fix point. I don't know if it is useful or not

Like others have said, the null does look like some pseudo monopole, I’m curious as to its behavior under symmetry operations and whatnot. Excellent video.

Best video I’ve seen on the topic by far.

@ 6:28 Makes me think of a Quartic Interaction (without the KE-term) in particle physics: with a and b as the coupling-constants, and m as the field.

Excellent!

I felt like I understood how the phase transitions were explained by renormalization, but I still don't understand what this has to do with the divergences of QED.

3000 years ago someone was having a glass of wine thinking about how they could allocate symbols to be prescribed on every atom in cosmogony. Wasn't a big enough library for that endeavor. But can subjective software housed in objective hardware hold it ?🎉🎉🎉 All those deterministic pagan models plagiarized time and time again and finally newton was confirmed about his human dashboard equations. Einsteins now plank length vertical gradiant of time axis has some 1 minutes old new expansion of space out there we just need to find to place a 0.on. a maze for a horizontal time line lol

Sorry if I'm wrong, but it seems like there should be A_0 a + 6 A_2 b instead of A_0 a + 6 A_4 b in the numerator of \bar{a}. And thank you for the video!

This video is a real banger

Thank you so much for this! I am not a physics major, but I need a basic understanding of RG flow to understand this recent book "The Principles of Deep Learning Theory", Roberts, Yaida, 2022. This helps a lot!! I have a question though. So from what I understand now, there are these couplings that can 'run' with the flow. And these couplings can be relevant, irrelevant or marginal. I was thinking what this means for the flow diagram. Am I correct in assuming that if I were to flow to a surface of fixed points but there are relevant couplings, you could move over this surface in the dimensions that correspond to the relevant couplings? Or how else should I view this distinction between the relevant / irrelevant and marginal? Thanks again this video is awesome 😊

Very nice introduction, thanks. Would you have any references to suggest where we might learn more on this topic?

Great video, very clear and captures the feeling of discovery! Feels very similar to index theory in dynamical systems, in relation to fixed points in phase-space.

great video, please get a better mic if you can!

Wow Thanks!

Nice.

so helpful

what a load of perturbation theory

This was really good, but I'm not sure how we apply this concept to fundamental quantities like mass and charge. If mass and charge are simply parameters in the normalization flow, what are the microscopic constituents that determines them? Makes little sense.

1) Is the isotrope field perhaps related to the magnetic potential in some way? 2) Is there a coordinate-free expression for the isotrope field? Like not in terms of theta and phi, but only in terms of the vector of the B-field.

Great video! Any recommendations for books on this topic?

I have no idea what this math actually means

I'm sure this hasn't escaped your attention, but given that electric fields and charge are based on a U(1) symmetry, there is a very natural way to look at electric charges in the same way as your magnetic topological indices, but around wave function phase instead of magnetic field. Furthermore, it wouldn't surprise me if you could use the lorentz group to sort of rotate between your picture of magnetic field nulls and electric charges.

I don't get how you can use this to get infinities to disappear in QED, which is normally what physicists at the smallest scales use it for.

Excellent

Amazing, a physics grad but cannot set or balance recording volume consistently.

Well Done! This is great.

Wow great video! This is a very meta subject analyzing what dynamical systems arise from trying to recursively approximate larger scale behavior. Small remark; I think you could’ve spent a bit more time on explaining the coarse graining concept, especially around 4:23

It looks like the Hamiltonian flow of a vector field.

Hot damn, this really felt like an epiphany to me. Great job.

Nice job, it's a great overview of fluids mechs and this tool. Fully linear algebra friendly and computer programming intuitive by linear transformationss🤗🤓🌶️🌶️

this is simply fascinating and dynamic problem solving. Great exposition!

very interesting and educational, but I'm still at a loss for what the Gibbs equation means ?

I wrote a long-ish comment on this a day or two ago, but my phone ran out of power before I hit send. I’ll try to remember the main points. First: very nice video! Second: when you speak of the nulls of opposite index seeming to attract one-another as the external field is varied, is that specifically when increasing the external field strength and keeping its direction constant? I guess when the external field strength is above some value, there should not be any nulls, and, as the external field strength changes continuously, the total index in a region can only change by a null passing through its boundary, and so the number of nulls can only change by a pair with opposite index annihilating or spawning together, uh, well, when increasing the strength, they must all pair up by the time the strength is large enough to ensure that there aren’t any? If instead of increasing the strength of the external field, you instead rotate its direction... how would that make the nulls move, I wonder? Oh, hm, I guess if the external field and the one from the smaller thing, are aligned, then, maybe there wouldn’t be any nulls? Or... I’m not sure? I don’t have a good intuition about electromagnetism.

That is so amazing! One of the best video I have seen in a while, I hope your paper will be noticed

Fun video, good luck with SoME3!

Video is great! Audio is poor. The information is well presented.