Summer of Math Exposition

So first of all, I believe the topic of your video to be interesting and to my knowledge also new, at least nothing I have seen before even while studying physics. There was a solid basic explanation of why this situation led to a paradox. One can very easily see that you have put a lot of time in the animation in order to polish them. Unfortunately, I found them to be a bit too “flashy” or detailed at the time, so you could possibly lose track of the most relevant aspects of your figures. Furthermore, you managed to present the underlying math in great detail, but I feel like skipping a few minor steps in the derivation would have added to the clarity a lot. Contentwise, the applicability of magneto-gravity remains unclear to the viewer, especially since the video you intended to make on it is not out yet (date: 17/08). Especially in this case, the motivation for magnetigravity should have been different from a mere analogy (eg the very counterintuitive phenomenon of a gravity-magnetic field). The last part where you briefly talked about general relativity in this context felt rushed and could have been left out imo, since it only gave few further insight. Overall, I like the idea of solving this problem with magneto-gravity as well as with a more “classical” approach of transforming frames. I hope this feedback helps you with future projects and I very much hope it did not sound too harsh since this was a nice video to watch

Although there is a lot of physics and math content, I think that this was well done. In particular, I think that often having the equations to the side allows for different levels of engagement for people with different levels of expertise to reach a large number of people with what is an interesting topic.

Interesting video. The video requires some knowledge of special and general relativity, and electro magnetism. It has some good insights into why physics choose certain simplified models, and on how Einstein came up with general relativity. Great job, but the submarine should’ve been yellow

Nice animations!

Drag? anybody?

Incredibly well made. May require a lot of prerequisites but I am not marking this down for that because that seems unavoidable especially when talking about an objectively difficult topic such as general relativity at this level.

I really liked the animations :)

There is a lot of algebra crunching going on, and I would usually that takes away from a video. But for someone that is less well-versed or has less intuition for special relativity (where I don’t think anyone can have complete intuition for special relativity anyways), the algebra is super important and anchors down the effect of special relativity on the problem.

I felt like there were also too many colours for equations, I appreciate that the colours do help mentally separate the variables but sometimes it does look a bit cluttered.

I have personally never heard of gravito-magnetism before, but it was introduced in a very intuitive way (given the prerequesite of understanding E&M), and it was the coolest thing I have seen.

I do feel like the GR bit at the end was somewhat rushed, but since it was not the main point of the video, I feel like that is okay because otherwise the video would’ve probably been a whole hour long to accomodate the full method of using GR.

What a video! The graphics are top notch (I can’t imagine how long that took), it’s an interesting paradox, and I don’t think this is a very well known paradox either. So it definitely kept my attention. And how many physics problems have a surprise ending? The resolution involving the shape of the ocean floor was something I did not see coming.

I think towards the end, you realized that you bit off a bit more than you could chew (in 30 minutes) and had to rush. That’s actually fine; I’m not sure I would have understood the material towards the end anyway. But it left me thinking, “They really need to do a video just explaining gravitomagnetism”… and then you announced that that was in the works. Pretty awesome.

the animations are bit fast and accelerating water causes motion sickness. maybe it should be shorter

Very interesting video. Excellent graphics. The way information is presented the content with different levels of base knowledge. The narration was well paced and clear. I look forward to see other videos from the this entrant.

Great submission! I like the dual pedagogical approach of tackling the paradox from two distinct frameworks, the equivalence principle and GEM, giving both kinematic and field-theory perspectives on why the submarine sinks. The animations were also really well done and showed geometric and physical clarity by communicating how the relativity of simultaneity deforms the flat accelerating sea floor into a parabola with the apparent “floating sub” contradiction. I think that the mathematical pacing and transitions could be a bit smoother given the rapid shifts between basic Lorentz transformations and formal GEM definitions, at least this might be a little overwhelming for students that may be newer to this subject, but overall still able to be followed quite well.

Very interesting topic. I never heard or thought of this paradox. This is quite the mindbender.

The video had great production quality. Good 3D animation, clean audio, and great visuals. The explanation was dense, straightforward, and well presented. The video had lots of math to explain every step in great detail. And took the extra time to explain where every formula came from and why it’s needed.

The submarine paradox was a great topic. It blew my mind hearing about the problem, and the conclusion left me stunned. The information was dense and organized. And the animations gave the video that extra polish. Very good video. It was nice to watch a video on special relativity.

not bad, but there are some problem

1. bouncy is hydrostatic effect, when you start moving you need to consider hydordinmics. usually one can separate thees, but it is not clere that it make cence here. on the other hand discussing it will be irrelevant for the vidio, so i think that the solution should be, erly on in the vidio to replce the problem with another model one, (say pepole walking onto a moving train) and discus it first.
2. the speed of light is much facster then the speed of sound. so phisclally the problem make no sense. it is not a problem. this is essentially a math vidio, but the vwer should be worned
3. this is an advance vidio for advance audience. give links to the relevant beck -ground

Good initial framing: I was left with questions and wondering whether or how they would be answered. A lot of the equations and text were very small for the SoME website format / size, maybe they could have been larger, then scaled back into the background. Some items were covered by the captions. Showing the Coordinate Shifts allowed the viewer to see how the mathematics changes, which further elucidates the discovery of the ratio constant gamma. Special Relativity / Gravitomagnetism explanation may have gotten lost among the equations for a math teacher like me, but perhaps physics students would be fine with it. I liked being able to see clearly where you were going with a particular resolution moments before it was given. Like a good mystery novel, the viewer is left feeling clever.

Very nicely produced video that does a deep dive (get it!?) into an interesting relativity problem. Visuals and explanations (as someone who has taken courses on special and general relativy and EM) were both excellent. This is fantastic video version of a lecture or lectures from one of those classes.The main thing stopping this from being a really excellent video is putting it into context for the audience a bit…like what are we trying to get to? What does this tell us about reltivity. This motivation/context to set the expectations for the audience could have been put right at the beginning to setup the expectations of the audeince.

It is really rather simple, proceed to screen of equations. This is a video I would need to sit down with for a day or two, probably extremely helpful if this was your field of study, but not so helpful otherwise. Interesting topic though.

A very nice coverage of Supplee’s paradox. I’d never seen it before even though I studied special relativity in college. It’s an interesting, counterintuitive paradox, and you explained it well, along with resolving it neatly.

I liked the animations, though they seemed to glitch every so often (an object would be highlighted or created 3-4 times in a row). You seemed to ask every question I had right as I was having it, and answered it directly and concisely.

One of the only things I didn’t like is the explanation of how GR implies gravito-magnetism in some limit. That sort of assumed I knew GR and went through the explanation unbearably fast, SoFi didn’t really even get a sense of how it might work.

In any case, however, this is a very strong submission. Good work!

Good explanation of a paradox that helps to take into account gravitational effects without delving too deep into it. Nice that it uses all the tools I would have available as an undergrad using basic transforms or electromagnetism to help to illustrate the point with some basic assumptions to help to illuminate more on the subject. Also, having the different formulation helped to make a good convincing argument into understanding why the submarine should sink. I think probably something that wasn’t so obvious on first watch was the effect on gravity on buoyancy which played a key role in terms of why we’re seeing the effects here when just working with the basic special relativity equations, mostly because it does feel like doing quite a lot of algebraic manipulations. I think we could have focused more time on the ocean floor bending to illustrate this effect more.