This math trick revolutionized physics

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Күн бұрын

Support the channel: ko-fi.com/jkzero
Story of how Planck discovered the blackbody radiation formula and why he introduced energy quantization as a math trick
Errata:
08:10 instead of Pringscheim should be Pringsheim, thanks to ‪@petermarksteiner7754‬ for notifying this
14:40 after the integration there is an extra minus sign that should not be there, thanks ‪@escandestone6001‬ for notifying this
20:22 second equation should be ε/(kT)=log(1+ε/U), thanks to ‪@Galileosays‬ for notifying this
23:52 "gasses" should be "gases," thanks to ‪@robert-skibelo‬ for notifying this
Videos:
· Nuclear Weapons Q&A #1 • Nuclear Weapons Q&A #1
· How to calculate an atomic bomb's critical mass • How to calculate an at...
Papers:
· On the Heat Radiation of Long Wave-Length Emitted by Black Bodies at Different Temperatures, Rubens & Kurlbaum adsabs.harvard.edu/pdf/1901Ap...
· Max Planck and the birth of the quantum hypothesis, M. Nauenberg pubs.aip.org/aapt/ajp/article...
Credits:
Portraits of Scientists are all Public Domain from Wikimedia.
Microprocessor by Intel Free Press under CC BY-SA 2.0 Deed creativecommons.org/licenses/...
Max Planck in 1901 by Allgemeiner Deutscher Nachrichtendienst under CC BY-SA 3.0 DE Deed creativecommons.org/licenses/...
Machine-in-display-at-a-museum by CityXcape on Pexels www.pexels.com/video/a-gigant...
steam-train by Kelly on Pexels www.pexels.com/video/steam-tr...
light-bulb by Free Videos on Pexels
splashing-lava by Martin Sanchez on Pexels www.pexels.com/video/close-up...
Person-forging-metal by Tima Miroshnichenko on Pixels www.pexels.com/video/person-f...
apparatus is used in measuring the total radiant energy from a blackbody repository.aip.org/islandora/...
Night sky by Miriam Espacio on Pixels www.pexels.com/video/time-lap...
Sunset by Ella Gronewold on Pixels www.pexels.com/video/cloudy-s...
Physics Book by basykes under CC BY 2.0 Deed creativecommons.org/licenses/...
Rubens' tube by Georg Fuchs and MikeRun CC BY-SA 4.0 Deed creativecommons.org/licenses/...

Пікірлер: 664

@jakubstawarczyk 4 ай бұрын

Great new video! I'm slowly watching older videos... it's a real gold mine 😁

@jkzero 4 ай бұрын

I cannot thank you enough for your continuous support. The only way, I guess, is by keeping the videos coming. Thank you so much!

@user-fl5nv7oh3z 4 ай бұрын

@@jkzero Are you open minded to answer on my contribution regarding quantization of energy as the observable of the quantum of action?

@user-fl5nv7oh3z 4 ай бұрын

@bivingtons ok, thanks for your kindness, I'll redraw

@letshangout6359 4 ай бұрын

Pl @@jkzero

@sliderule5891 3 ай бұрын

Professor, today I visited the newly constructed K25 Gaseous Diffusion Plant visitor center. Awesome. All the diffusion process buildings have removed. Sad but necessary. I did sever tours of duty at that site. One very interesting artifact was the miniature criticality response fire truck complete with water cannon on display. It’s water tank contain borated water to stop a criticality accident. Years back I use to talk with a guy, who as a young scientist actually canned the uranium slugs for Enrico Fermi CP 1 pile in Chicago. They sent him to Oak Ridge fuel and start up the X 10 Graphite pile. The public can visit that pile on a tour. I use to have an office in the original chemical process building attached to the pile building. They separated the first gram quantity’s of Pu during the MP and sent it to Los Alamos. Sliderule.

@wdecay 4 ай бұрын

Amazing content. As a physicist myself, I knew the story, but I've never seen it presented in such a coherent and logical manner.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I had the same issue, as an undergrad I was simply told "...and Planck appeared and solved it after he quantized energy," which is quite unsatisfactory. I decided to dig deeper, read some of the original papers, and I thought I had to share this fascinating story. The follow-up with Einstein and others is coming soon.

@novakonstant 4 ай бұрын

This was a masterclass. I appreciate the shoutout to the experimentalist and contextualize how quanta came into being. Those two aspects are an important on the evolution of physics as they give ground to interpretations via how we perceive the universe. I like Plancks result because it gave us the quanta out of necessity, and thus, a more useful and truer result. As we are getting closer and closer to fundamental results, it becomes more important to reconsider human experience, and even the way we interact with the universe, when developing new theories. Space and time are so intertwined that its hard to say if there is a truer reality, but if there is, human perception is out of its equation.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I was trained as a theoretical physicists but my PhD advisor always taught me to value the work of experimentalists. Without them theoretical physics is just arid and quite useless. I was lucky to work closely with experimentalist while I did the calculations. Good times. As an undergrad I was simply told "...and Planck appeared and solved it after he quantized energy," which is quite unsatisfactory. I decided to dig deeper and I thought I had to share this fascinating story. The follow-up is also quite interesting. Coming soon.

@ValidatingUsername 20 күн бұрын

I think every single undergrads should have to take a course on quantization to make sure they really grasp the epicentre concept.

@johncourtneidge 3 күн бұрын

Yes!

@johncourtneidge 3 күн бұрын

@@jkzero the groundwork is the Greek question, 'If you break a stick in half and the half in half again, etc, can that go on infinitely?' The energy equivalent is the relationship between a set of stairs and a ski slope. The answer may have something to do with the lower energy/entropy boundary of absolute zero. Which implies, perhaps, a maximum maximum? Or not!

@johncourtneidge 3 күн бұрын

@@ValidatingUsername i used to teach this in the first week of my A Level class at Eltham Green: in order, in part, to get the brightest kids to a) be humble and b) get them thinking deeply. Happy times!

@florafeldner 4 ай бұрын

I love your approach of bringing together historical timelines, parallel development of different ideas of the time and a dive into the actual mathematical formulae and derivations. great channel!

@jkzero 4 ай бұрын

Glad you enjoyed it! Thanks, I am glad you liked the video and your appreciation for the effort to show the human side of scientific development. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@LastStar007 4 ай бұрын

@@jkzero It's something I find lacking in a lot of textbooks/curricula. Usually, it's just "Planck discovered this formula", and if we're lucky, "while he was studying blackbody radiation". If one doesn't follow the train of developments that led up to a discovery, including all the dead ends, then how can one discover anything new?

@jkzero 4 ай бұрын

I am with you. As a physics student I was simply told "...there was a problem, but Planck appeared, quantized energy, and solved the problem." But how?! I remember that the lack of context and details was quite unsatisfactory. I decided to dig deeper, read parts of the original papers, and I decided to share the details and get the record straight. I think that the story gets even more fascinating. The follow-up is also quite interesting. Coming soon.

@florafeldner 4 ай бұрын

yea, this very interesting and praxis-side part of science rarely gets taught at university. as to your first question, the mighty algorithm suggested it. I recently watched quite a bit of maths and compsci related channels, so that mightve been it.

@jkzero 4 ай бұрын

Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel.

@blacklistnr1 4 ай бұрын

14:56 So crazy to think that it took so many years among different people for the fine-tuned equivalent of x^3/(e^x-1) while I as a 2024 noob with no data, but access to desmos could guesstimate it for fun to x^2/e^(0.5x) in a minute of trial & error I really wonder what some of these people could have achieved with access to a computer/internet

@jkzero 4 ай бұрын

you are right, these days you can just import a symbolic regression library and recover (rediscover?) the correct formula in a few lines of Python code.

@user-ky5dy5hl4d 4 ай бұрын

@@jkzero Erwin Schrodinger did not like the concept of quanta. For him even the reality is continuous for he said that if he knew that physics was going into some kind of jumps, he would never get into the area of physics. And Planck used a mathematical trick the same way the imaginary number ''i'' is used in equations that are not complete. Entropy S is not proportional to time. Delta S is a variance of properties for each case of which does not depend on time. Therefore, one may ask: what happens in between the pockets of energy? What state does the reality access in between the packs of energy and what happens with them till the next quanta of energy appears? It resembles the electron jump between the states of energy from one orbit to another in an atom.What happens to the electron between the jumps? E=hv is only an interpretation of a quanta of energy and it depends on frequency which in this case is shown as a wave and not a pack. So, how can a wave become a particle? And a particle a wave? And yes, mathematicians utilize tricks, so the equations suddenly look complete and elegant. But if you apply Planck's constant to a wave or many waves at once to derive energy, the whole equation simply breaks down unless one uses another math trick.

@alans172 4 ай бұрын

@@user-ky5dy5hl4d I disagree. Planck's trick is not like i at all. i always was and always will be the "imaginary" number that needs no physical interpretation. Planck's requirement for steps in energy not to tend to zero is much more complex.

@mastershooter64 4 ай бұрын

@@alans172 i, isn't any more or any less imaginary than 3.7 -your friendly neighborhood math major

@alans172 4 ай бұрын

@@mastershooter64 oh yeah? Compare buying 3.7 kg of potatoes with buying i kg of potatoes !!

@ErikRyde 4 ай бұрын

This channel is fantastic. Thank you for this

@jkzero 4 ай бұрын

Glad you enjoy it!

@jmcsquared18 4 ай бұрын

Teaching my modern physics students quantum mechanics next. My background is mathematical physics, so I don't know as much about the history of the development of some of these ideas, especially from the experimental side of things. I enjoyed this video bc it shows just how much early observations in thermo motivated the difficult thought processes that eventually gave birth to old quantum theory. Thank you, and I look forward to more from your channel!

@jkzero 4 ай бұрын

I am also a theoretical physicist and it bothers me that I was not told this story when I was a student; there is a need to quickly go over the postulates of QM and the "shut up and calculate" approach that leaves out a lot of richness of the story. I am glad you liked the video and make sure to check the other videos.

@jmcsquared18 4 ай бұрын

@@jkzero dodging the historical development of quantum mechanics just to get to the postulates is a cardinal sin in my book lol. I also detest the "shut up and calculate" approach to teaching a theory that to this day we still don't understand. Feels like a disservice to students who are going to be confused regardlesss.

@user-ky5dy5hl4d 4 ай бұрын

If your background is mathematical physics then I have a couple of questions for you: what causes the speed of light and give me the definition of time.

@jmcsquared18 4 ай бұрын

@@user-ky5dy5hl4d nothing "causes" the speed of light. That's a peculiar question imo. Light moves at the same speed regardless of your relative motion. That is simply a fact about our universe. How one defines time depends on the conceptual framework one is working with and what assumptions one is maing about their physical system.

@user-ky5dy5hl4d 4 ай бұрын

@@jmcsquared18 I know c is constant. Let me reframe the question: what causes the photon detach from the source? Or what is the process of the photon detachment form the source? Speed is not impotrant here just the process. I can't agree on the conceptual framework of time. Otherwise we would not have the Einstein's special relativity which has many flaws.

@HaroldGil 4 ай бұрын

That was cool. I always wondered about that. Thanks for recognizing it and weaving together this fascinating story and justification.

@jkzero 4 ай бұрын

I also find these stories fun and illuminating, they give a more human perspective. Textbooks present the protagonists as a collection of geniuses with one brilliant idea after another but their struggles and, in hindsight, silly ideas and mistakes were real. These stories deserve to be shared

@gabitheancient7664 4 ай бұрын

I love your channel so much it definitely fulfils my curiosity with the more gory details of some scientific things that happened

@jkzero 4 ай бұрын

Glad you enjoy it! This kind of feedback really motivates me to keep making these videos, which I also really enjoy making.

@cewkins721 4 ай бұрын

A great video once again, i love this type of content that goes in depth about how the idea was shaped considering that most of the time we get the short version that includes a handful of people and leaves out many details about the immense time, effort and collaboration that it took to bring these intricate ideas together, thanks for taking the time to explain the math as well!

@jkzero 4 ай бұрын

Glad to have you back. This was a little experiment, exploring other areas and people seems to like it, despite the lack of explosions. More coming, this one ended in a cliffhanger.

@JumpingCow 4 ай бұрын

This is a fine video! When I learned basic quantum mechanics many years ago, we were taught that Planck postulated quanta, and then derived his black body equation. You are telling a different story, which is basically the opposite, and it is fascinating.

@neilreynolds3858 4 ай бұрын

That was how it was told to me too. I had no idea that he did it to rescue thermodynamics. It should be taught this way.

@jkzero 4 ай бұрын

Same here, everything was presented to me and classmates as a brilliant idea out of the blue and I totally disliked it. After pressing one of my undergrad QM teachers he shared a bit more on the blackbody radiation story but in the end his version fell back to the narrative "...and Planck solved it after he quantized energy," which is quite unsatisfactory. Then as time went by I followed the "shut up and calculate" approach but all this is even before the QM postulates are introduced. Anyway, I decided to dig deeper and I thought I had to share this story before the standard narrative keeps propagating. I am glad you liked the video, make sure to check the others in the channel.

@chalkchalkson5639 4 ай бұрын

@@jkzero it's really interesting. the book my prof used basically started from rayleigh jean's instead of wien's. It managed to also set it up as an integration trick though, turning a divergent integral into a sum which allowed for the recovery of planck's formula. It's really neat how you can recover the same physics from many different angles and end up with quite similar stories.

@jkzero 4 ай бұрын

@@chalkchalkson5639 yes, there is the version of the cut-off for the integration. In the next video I will show another way to recover Planck's formula using a different conceptual approach, stay tuned.

@evaristegutierrez8260 4 ай бұрын

Can you share a little bit of about that "dig deeper" research process?@@jkzero

@cristianoborges2466 3 ай бұрын

This is the first time I donate and comment an youtube video, but I felt obligated to do so. I have just one thing to say: BRAVO !

@jkzero 3 ай бұрын

Thanks so much for supporting me to keep making these videos! Make sure to check the others and more coming soon. Thanks again for your generous support.

@RalphDratman 4 ай бұрын

What a wonderful talk and video. Thank you so much for publishing it here.

@jkzero 4 ай бұрын

Thanks, I am glad you liked it, I noticed that you watched the follow-up too, third part coming soon!

@TheOneAndOnlyNeuromod 4 ай бұрын

These videos are the best and most thorough explanation of many different physical phenomena that I’ve seen. I really appreciate the effort put into explaining the various equations that describe these relations - and how they are derived. Great work, and thank you!

@jkzero 4 ай бұрын

Thanks, I am glad you found the content of interest and thanks for the appreciation to the work that goes into making these videos. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@TheOneAndOnlyNeuromod 4 ай бұрын

@@jkzero I was brought to your videos when looking for critical mass videos, and then saw your videos on calculating explosive yield by images. After that, I subscribed. I like when you include history and derivation of equations describing the phenomena - it gives a clear picture of what physicists were facing in context as they were approaching the problems, how they solved them, and how it expands beyond that. I appreciate that you share various knowledge levels of the mathematical physics and you don’t hand-wave it away. You start out broad, and keep building at ever-increasing detail, not leaving me wondering anything else other than asking questions as to further applications.

@jkzero 4 ай бұрын

@@TheOneAndOnlyNeuromod Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel

@mastershooter64 4 ай бұрын

This was absolutely amazing! Please do more of these physics history videos with actual calculations

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. The follow-up is also quite interesting. Coming soon. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@notanemoprog 4 ай бұрын

Great video. Looking forward to watching all the rest on the channel

@jkzero 3 ай бұрын

Thanks, I am glad you liked the video. I am always curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@notanemoprog 3 ай бұрын

If I remember correctly the Algo showed your video to me - I watch a lot of Sabine etc. so perhaps that's why :)@@jkzero

@jkzero 3 ай бұрын

@moprog Thanks for sharing, nice to attract some of Sabine's audience. Fun fact: she brought me to Europe in 2013 and I almost ended up as her postdoc. Great that the algorithm is working, I hope you find the other videos of interest too and welcome to the channel.

@nativesun7661 4 ай бұрын

Wonderful video/account. Great work!

@jkzero 4 ай бұрын

Thank you very much, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@alexkuzma 4 ай бұрын

With such great content this channel will grow in no time! It definitely deserves at least a million subscribers!

@jkzero 4 ай бұрын

Thanks for the vote of confidence and the good wishes. You can help by liking so that the videos can discovered by the mighty algorithm

@paulthompson9668 2 ай бұрын

@@jkzero I agree. I just have one favor to ask you. Do post-production sound editing to make sure that your volume levels are at the same level as the ads. I have to turn my volume all the way up to listen to your video, and then when the ads come on, they blow my speakers.

@jkzero 2 ай бұрын

@@paulthompson9668 thanks for the constructive feedback. I attempted a new audio editing process in my last video, do you thing it is any better?

@paulthompson9668 2 ай бұрын

@@jkzero I think it's better, but there's still quite a ways to go. lol I'm pretty sure the sound editors for the ads redline the volume (i.e., make it the maximum possible), so I think you either have to put your microphone gain on maximum, or raise the volume levels to maximum for your speaking range (e.g., 100-200Hz).

@jkzero 2 ай бұрын

@@paulthompson9668 thanks for getting back with feedback; I spent a few hours yesterday reading about audio levels on KZfaq and learned about their automatic normalization factors for what they call "content loudness." They tune down the volume automatically over a threshold and apparently finding the threshold is an art, which is only clear after a video is uploaded. I should have searched for this earlier, I am still learning. I ran some experiments adjusting the gain of my mic so I hope to have better audio in the next video, if still bad for some reason please keep pocking me on this, the feedback to make the content and the experience for the viewers more pleasant is highly appreciated. Thanks again.

@jorgeluis4389 16 күн бұрын

Awesome channel. Vaguely remember my high school physics classes but these videos makes it fun.

@jkzero 15 күн бұрын

Thanks for watching, glad you enjoy the content. Make sure to check the rest of the ongoing series on quantum physics, this video was just the kick off.

@marcelma Ай бұрын

Great presentation. This is the first time that I met a narrative that leads the audience through the actual historical process, - giving credit to those who prepared the ground and those who picked up the shards - instead of viewing everything from today's perspective. It makes everything sooo much more plausible. One of the very rare "1st time encountered, immediately subscribed" channels.

@jkzero Ай бұрын

Thanks for your comment, and thanks for the appreciation of the content. When I was a physics student I learned the solutions to the problems of the time but I remember that the lack of context and details was quite unsatisfactory. Now that I have time, I decided to dig deeper, read the original papers, and I decided to share the details and found that the stories get even more fascinating. Thanks for subscribing and welcome to the channel.

@DeepSeeker2809 4 ай бұрын

Excellent story-telling. As a researcher myself, I didn't know the story of Planck going through all these steps to get to his famous law. That R quantity is really interesting to me.

@adityabaghel1270 4 ай бұрын

Amazing video! And the sentimental values to the experimental physicists was a great touch!!

@jkzero 3 ай бұрын

I am glad you liked the video, I am a theorist but I believe experimentalists deserve way more credit than history or popular stories give them.

@randym1954tx 4 ай бұрын

Great program, explaining how one can go from a problem and solve it correctly by following the math based on the data. I started with Quantan Mechanics from the chemistry viewpoint, Bolzman and Clarks' work in Statical Thermodynamics to me has always been my foundation when working in by career in Chemical Engineering and process control applications in the chemical/petrochemical/oil & gas work. When considering the 1960's work of Edward Lorenze at MIT in metrological models and discovering how a group of simple linear differential equations can become chaotic, thus the discovery of chaos Bolzman view rules.

@jkzero 4 ай бұрын

I am glad that you appreciate the effort to bring to life the process, I believe this requires more visibility and valuation. As a physics student I was simply told "...and Planck appeared, quantized energy, and solved the problem." But how?! I remember that the lack of context and details was quite unsatisfactory. I decided to dig deeper, read parts of the original papers, and I decided to share the details and get the record straight. I think that the story gets even more fascinating. Thanks again for watching for your generous support.

@alainpean1119 4 ай бұрын

Very intersting presentation of the disvovery of Planck's formula and it's interpretation. Thank you.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@tomasrestrepo5572 4 ай бұрын

It would be interesting then, to learn about how the other physicists started to wrestle with the idea of quanta and discretization not only as a math trick, but a testable, real phenomena! Great video, subscribed

@jkzero 4 ай бұрын

that is definitely coming, that was the purpose of the cliffhanger... although Einstein is always portrayed as "anti-quantum" he was the one that took Planck's math trick and promoted it to a physical rule of nature.

@relapse7545 4 ай бұрын

@@jkzero Looking forward to those future videos, keep up the great work!

@chalkchalkson5639 4 ай бұрын

You should look into the photoelectric effect. Einstein managed to explain that, by quantising light energy and - surprise - it came in quanta of h nu. Those were two of the most important open problems at the time. Imagine how much weight it'd have to have both of those solved by simply asserting that light came in discrete energy chunks.

@billmichae 4 ай бұрын

Impressive compressed, to-the-point, presentation/story!!!

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video and the style. I am always curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@timecode37 4 ай бұрын

Amazing insight into the past. Never seen it so detailed

@jkzero 4 ай бұрын

I really wanted to know the details of the story instead of the classic "yeah, Planck solved it" I always asked... "yeah but how?!" I am glad you enjoyed it, I had a blast making this video.

@JagdishCVyas 4 ай бұрын

Thank you very much for a wonderful presentation of the background on Plancks constant and on real background of quantum mechanics.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@Asterism_Desmos 4 ай бұрын

You hit 10k! Congrats, dude!

@jkzero 4 ай бұрын

🎉thanks! It happened way faster than expected.

@natesgarage Ай бұрын

Thanks! So much information!

@jkzero Ай бұрын

Thanks so much for your generous support. I hope that the 'so much information' comment is a good thing.

@tiocco 4 ай бұрын

Wonderful video, thankful I found your channel!

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@tiocco 4 ай бұрын

@@jkzero seems like the mighty algorithm found me on my homepage with this suggestion.

@jkzero 4 ай бұрын

@@tiocco Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel!

@Alex-ff1mk 4 ай бұрын

I love physics so much. Even though I dont understand most of these formulas and consepts but the important thing is that I’m learning not only the consepts but also the super interesting history behind them. Awesome work

@jkzero 4 ай бұрын

I am glad that you can appreciate the story behind the calculations, I hope not to isolate people who don't follow the math and this is why I try to include the story and human aspects behind these discoveries

@Alex-ff1mk 4 ай бұрын

@@jkzero its really appreciated

@tacemus 4 ай бұрын

I recently had an indication of this full story, briefly related in Carlo Rovelli's wonderful "Helgoland". Thank you very much for your fantastic explanation. Beautifully laid out. You've obviously put an enormous effort into this. I really appreciate that. 😊

@jkzero 4 ай бұрын

Glad you enjoyed it! I have not read Helgoland although Amazon keeps recommending it to me. As a big fan of Werner Heisenberg and am curious about it. Would you recommend the book?

@tacemus 4 ай бұрын

Sorry for the delay; I didn't see this. Yes, definitely. Prof. Rovelli explains that it's aimed at general readers but also including what he calls colleagues. It's full of notes with references and deeper explanations, including maths. He has his own interpretation of quantum mechanics. About a third of the book is not pure "science" as such but philosophy. He goes into the mind-body problem and the meaning of "consciousness". I'm a biologist and happen to agree with him by looking at it from that perspective too. All this gives us wonderful, deep insights which can change one's whole outlook on life. It did for me! @@jkzero

@johnbarbuto5387 13 күн бұрын

In my opinion this offers a type of insight rarely discussed: the mental path of genius. So often we celebrate contributors for their outcomes (such as Planck and the others discussed herein), but we don't really understand the mental processes they had to go through for those outcomes. Here, by contrast, the mental journey of Planck - and the circumstances upon which it depended - are explored. Further, this video dramatically emphasizes the difference between a scientist versus those who prefer emotional preference over analysis. The fantastic electronic tools of this era (and all of their derived experiential opportunities) do not owe their development to religion or the comforts of emotional preference. If we were relegated to reliance on what they say we would still be living in the era of push-carts and plows. Instead, in this era we have the opportunity to celebrate those humans willing to grapple with objective analysis, such as all of the minds discussed in this video. It is from their minds, and penchant for discovering how the world really works, that we now live in an era where wonderful people across the planet, such as Dr. Diaz, may offer their insights in order to teach us how genius makes it contributions.

@jkzero 13 күн бұрын

Thank you so much for your kind words, I am glad that you found the video so valuable. I am totally with you; when I was a physics student I learned the solutions to the problems of the time but I remember that the lack of context and details was quite unsatisfactory. I find most accounts of these stories to focus on the final result but I find the problems, the struggles, and the wild guesses fascinating, so I decided to share them here. Glad to find so many people moved by these stories and that don't shy away from some taste of the math behind. This video was just the kick-off of this video series so make sure to check the rest in this playlist: kzfaq.info/sun/PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH

@jonathanlister5644 4 ай бұрын

Thanks so much for this, I too am a physicist and was only taught about the theorists who developed the quantization, no mention was made of them taking the data from experimentalists to fit their theory around. Great work in producing this!

@jkzero 4 ай бұрын

Glad it was helpful! As an undergrad I was simply told "...and Planck appeared, quantized energy, and solved the problem." But how?! I remember that the lack of context and details was quite unsatisfactory. I decided to dig deeper, read parts of the original papers, and I thought I had to share this fascinating story, including the crucial role of experimentalists that are usually forgotten in the narratives. The follow-up is also quite interesting. Coming soon.

@randolfohly2385 4 ай бұрын

another great video from you👍

@gparizoto 4 ай бұрын

Very high quality content, please, do more!

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video and yes, the follow-up story coming soon. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@cmdrviitanen 4 ай бұрын

@@jkzeroalgorithm for me, and I would say it's that for almost everyone. Overall I would guess it determines success, approximately no one searches for these things, but just stumbes to videos based on previous views and likes.

@jkzero 4 ай бұрын

@@cmdrviitanen Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel.

@quantumality0084 4 ай бұрын

Amazing video i love physics more than i already did. Keep it up!!!

@jkzero 4 ай бұрын

wow, I am glad that my video increased that love for physics!

@angusjamesprain 3 ай бұрын

Amazing video. Really interesting journey through this very crazy part of history for physics!

@jkzero 3 ай бұрын

Glad you enjoyed it! I find most accounts of these stories to focus on the final result but I find the problems, the struggles, and the wild guesses fascinating and decided to share them here. Glad to find so many people moved by these stories and that don't shy away from some taste of the math behind.

@HitmanR97 3 ай бұрын

Nice video man, keep up the good work 🫡

@jkzero 3 ай бұрын

Appreciate it, man; more coming soon

@ciarandevine8490 3 ай бұрын

So well explained, great presentation. 💥

@jkzero 3 ай бұрын

Thanks, I am glad you liked the video. I am always curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@user-bt2bq5hy1g 4 ай бұрын

This video is very informative for me as I'm studying blackbody radiation. Thank you

@jkzero 4 ай бұрын

perfect timing!

@warrenjohnson8124 28 күн бұрын

Wonderful exposition of how all our understanding of the physical world relies on new and better and more precise fundamental experiments that contradict some part of the old theories, so require the invention of new theories that can fit all of the data, old and new. Bravo.

@jkzero 27 күн бұрын

Thanks, I am glad you liked the video. This was only the first on this ongoing series, make sure to check the others kzfaq.info/sun/PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH

@Tim-Kaa 2 ай бұрын

Thank you, great videos

@jkzero 2 ай бұрын

Thanks, I am glad you liked the video. I am always curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@sleepygrumpy 3 ай бұрын

Absolutely outstanding -- incredible content

@jkzero 3 ай бұрын

Thanks, I am glad you liked the video. I am always curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@sleepygrumpy 3 ай бұрын

@jkzero yes it was the algorithm -- I was a physics major in undergrad but left science behind for my actual job and love going back and revisiting things with much better teachers -- keep up the excellent work this was incredible

@jkzero 2 ай бұрын

@@sleepygrumpy Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel.

@nashs.4206 3 ай бұрын

Wow this is an amazing video! I find that when learning physics, it isn't enough to just present equations -- the history and the context behind these equations go a long way in providing motivation for someone learning physics.

@jkzero 3 ай бұрын

Thanks for watching and the positive feedback. Welcome to the channel.

@OzGoober Ай бұрын

Thank you for the excellent explanation.

@jkzero Ай бұрын

Thanks for watching and make sure to check the follow-up videos of this series

@johnned4848 4 ай бұрын

Early morning as I watched this. I'll just say right now another brilliant post . A great tutorial on physics understandable to the layman.

@jkzero 4 ай бұрын

Thanks for the feedback, it is always great reading that viewers appreciate the content. Today experimenting with new topics.

@789radek 3 ай бұрын

What a fantastic exposition of the scientific method!

@jkzero 3 ай бұрын

thanks for your comment, I find these stories fascinating because they reveal not just the final result but the building up of ideas, mistakes, wild guesses, and brilliant ideas that take years and many people to put together rather than the classic narratives of lone geniuses.

@nanamacapagal8342 4 ай бұрын

First time discovering your channel, love all the little insights, as well as the whole "untold story" theme That said, 16:37 is actually perfectly solvable using the product log (or the Lambert W function), the inverse of x*e^x. The function does have many branches, but the answer here is 3 + W0(-3/e^3) (using W-1 would lead to an answer of 0 and using any other branch would return a complex number)

@jkzero 4 ай бұрын

The trivial solution is x=0, which is also clear from the plot, but there is another real solution. Do you get the same result (x=2.82) using your method?

@nanamacapagal8342 4 ай бұрын

@@jkzero yep! W0(-3/e^3) is about -0.178, so 3 - W0(-3/e^3) is roughly 2.822, just as the solver and graph predict!

@jkzero 4 ай бұрын

@@nanamacapagal8342 nice! That's brilliant. I mean, it is math so the result has to be the same but it is still cool to learn about totally different method. Thanks for sharing.

@jesterps2236 4 ай бұрын

amazing video and really interesting that picture from the fifth solvay conference was so cool and inciting awesome, please keep it up i love these videos

@jkzero 4 ай бұрын

The famous picture is for making many videos, it will definitely keep popping up in future videos.

@kilianklaiber6367 4 ай бұрын

Wonderful presentation. Thank you very much for your work.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@kilianklaiber6367 4 ай бұрын

@@jkzero The mighty algorithm knows that I am interested in math and physics.

@jkzero 4 ай бұрын

@@kilianklaiber6367 Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel!

@veno8mm 4 ай бұрын

Early 1900s boon of math, physics, science, psycology, and meds is truly mindboggling. So many advancements, discoveries, and breakthrus. Love this type of yt. Wish there was more.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the content. Make sure to check my other videos too. The follow-up story is also quite interesting. Coming soon.

@gcarifo 4 ай бұрын

Awesome video!!!!!!!!! I love these videos like the history on how we derived certain mathematical functions I find it so fascinating it makes me wish that I was a scientist back then that could work on these problems! I really appreciate the effort and thoughtfulness you put into these you got a new long time Subscriber!

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video so much, I really enjoyed making it, and thanks for subscribing, it helps the channel too. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@piercebros 4 ай бұрын

Thank you for such a deeply enlightening video.

@jkzero 4 ай бұрын

Glad you enjoyed it!

@catherinegrimes2308 Ай бұрын

Wonderful video, thank you.

@jkzero Ай бұрын

thanks for watching, make sure to check out the other videos in this series.

@ydas9125 4 ай бұрын

Amazing. Clear. Inspiring. Thank you.

@jkzero 4 ай бұрын

Thanks for your supportive comment. The follow-up of the story is also quite fascinating. Coming soon so make sure to subscribe ;)

@jamesfullwood7788 4 ай бұрын

Amazing video, looking forward to more!!!

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video, more coming soon for sure. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@jamesfullwood7788 4 ай бұрын

@@jkzero it was the mighty algorithm!!! I actually almost didn't click as most quantum videos don't do much for me (I actually work in quantum theory), but I chose to hover my pointer over the video and then realized I would probably enjoy this video. And I was right. I've never seen anybody delve into the historical foundations of quantum theory as you did here, without glossing over the physics/mathematics as well!

@jkzero 4 ай бұрын

@@jamesfullwood7788 Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel

@asgerms 4 ай бұрын

This is super good! Subscribed and thanks!

@jkzero 4 ай бұрын

Thanks fro subscribing, glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@asgerms 4 ай бұрын

@@jkzero The algorithm suggested it to me, I didn't do any deliberate search. However, being a physics/math geek, I subscribe to such channels and have searched explicitly for that type of content over the years. So I believe the algorithm suggested your video/channel on that basis. Hope that answers your question.

@jkzero 4 ай бұрын

@@asgerms Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel.

@silatapeldoorn 4 ай бұрын

Great video! This helps me to understand the physics I teach in my classes better at a fundamental level. Greetings from a physics teacher from the Netherlands

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@silatapeldoorn 4 ай бұрын

@jkzero The mighty algorithm found me. I'm subscribed to some other interesting channels with good physics content. That shall be the reason. What I like about your video is that for me it was exactly the right level regarding theoretical physics and math. Not to easy and not to difficult. To be honest: I don't think this will be the case for many people. But still I hope for more videos about fundamental physics made by you...

@silatapeldoorn 4 ай бұрын

But now I see that your video is been watched already 70k times. So I was wrong. You have a big audience....😊 Good to see that!

@jkzero 4 ай бұрын

@@silatapeldoorn Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too, there is plenty of history and some math too; and welcome to the channel. Greetings from Germany.

@jkzero 4 ай бұрын

@@silatapeldoorn I have no idea how the 70k views in four days happened, somehow the algorithm saw the interest of people, the new subs, and the many comments and it kept recommending it to more people... a chain reaction

@eriktempelman2097 Ай бұрын

Excellent video, thanks 😊 And yes, the theorists often ignore the vital work done by the experimentalists. Good job to give them some credit ❤

@jkzero Ай бұрын

thanks for watching and make sure to check the follow-up videos

@dyllanusher1379 4 ай бұрын

I love this sort of historical perspectives, thanks for sharing this gem

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@dyllanusher1379 4 ай бұрын

@@jkzero I'm a math nerd, so I get lots of the videos in my feed using 3b1b/manim! :) Happy to have stumbled upon you. I hope that you are able to take part in the Summer of Math Exposition 2024!

@dyllanusher1379 4 ай бұрын

@@jkzero hey! I'm just a fellow math nerd, so I get recommended a bunch of the vids that use 3b1b/manim :) I subbed and can't wait to see what's next!

@jkzero 4 ай бұрын

@@dyllanusher1379 Thanks for sharing and I am glad the algorithm is working. Manim is such a beautiful tool, I am so happy that Grant made his library open source. I got the opportunity to thank him directly when I won a prize in his summer math competition in 2023. I hope you also find the other videos of interest too and welcome to the channel!

@davidrobertson2826 4 ай бұрын

Channels like these that are hidden gems and clearly passion projects rather than desperate ploys for clicks are the best…I loved math in school, and the industry I work in requires a lot of math (but very basic bond math). So nice to be able to come home and get my real math fix with a dash of history, and, of course, as a red-blooded male, the videos of enormous explosions are the cherry on top 😂

@jkzero 4 ай бұрын

Thanks for your positive feedback and I am glad that the effort to make these videos is appreciated. What kind of "bonds" are you referring to? Of the chemical or financial type?

@bradyshannon8452 2 ай бұрын

Excellent, I appreciate that you gave information about the men who produced the instrumentation for these experiments. Very informative, even for people with weak math skills. I don know you can't truly appreciate physics without understanding the math, so I strain a bit, but well done!

@jkzero 2 ай бұрын

Thanks for your feedback, I am glad you liked the content. I am always curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@bradyshannon8452 2 ай бұрын

@@jkzeroI appreciate physics. I took everything undergrad through electricity and magnetism. It's fascinating but I'm not the best at math. Hence, "math trick" caught my eye. I've been learning a little bit about Quantum field theory. Just a little though!! My main focus in college was biochemistry - I learned how to make antibodies specific to the antigen of your choice. I'm not doing anything with it now though, it's all just entertainment these days.

@jkzero 2 ай бұрын

@@bradyshannon8452 Thanks for sharing; QFT is a big conceptual jump, after I took QFT I asked if could sit in this class again the following year, and then again... in total I had the opportunity to have 6 semesters of QFT, each time I asked different questions, each I felt that something is mess up there. Welcome to the channel and I am glad the algorithm is working, I hope you find the other videos of interest too, the latest one is a fascinating and historic experiment only using basic electromagnetism so check it out.

@slanglabadang 4 ай бұрын

Would have have lived to hear Paul Dirac being mentioned in the picture for the 5th Savoy meeting! Amazing breakdown of the maths, it felt super clear when you were going through the limits and integrals.

@jkzero 4 ай бұрын

I left many of my favorite one out of the mention: Pauli, Born, Dirac, Wilson... they will have their own videos in the near future. Thanks for watching and the positive feedback. Welcome to the channel.

@Govstuff137 4 ай бұрын

Awesome video. I like how scientists discover stuff. And seeing how important each discovery depends on the next.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. As a physics student I was simply told "...and Planck appeared, quantized energy, and solved the problem." But how?! I remember that the lack of context and details was quite unsatisfactory. I decided to dig deeper, read parts of the original papers, and I thought I had to share this fascinating story. The follow-up is also quite interesting. Coming soon.

@jonnyjansson7320 4 ай бұрын

Great Video on a topic I have always been wondering about since my first QM course many years ago. The formula and its consequences wasn't the issue, but the derivation: A modern and "pedagogical" one. It left me wondering, how did Plank do it. I tried to look at the original papers, but german is not one of my strong languages and difficulties with old terminology and notation didn't help either. So thanks explaining this and also giving me some insights into how theoretical physics was done in that period!

@jkzero 4 ай бұрын

@danieleambrosini1681 4 ай бұрын

Wow, great video, thank you😊

@jkzero 4 ай бұрын

Thanks, I am glad you found the content of interest. The follow-up story coming soon, this one ended in a cliffhanger.

@g4rrett73 4 ай бұрын

3:41 A good memory I have from my physics class - When we were learning this stuff, we were given a problem: A blackbody's temperature is increased from 900k to 2300k. By what factor does the total power radiated per unit area increase? It was question 19a from the book: modern physics for scientists and engineers 4th ed. by Stephen thorton and andrew rex. We had to read all of chapter 3 (from pages 84 to 121), then answer a bunch of questions. This wasn't our only homework, and we were exhausted from all the work we had to do that day beforehand, so we looked for the answer in the back of the book. The book said 42.7. We did not remember what formula to use, but we knew the increase in power was somehow related to the ratio of the two temperatures. (2300/900) ~ 2.55. Looking at the number for a few minutes, I remember I tried squaring 2.55 in my previous attempts which is about 6.5. It connected in my brain that 6.5^2 is almost equal to the answer in the back. I did (2300/900)^4, and was excited to find out it was proportional to T^4. We then looked for T^4 and reread that part of the chapter to learn it better, but we were so excited that i just randomly came up with 42.7 is approximately equal to 2.55^4, and saved us a lot of stress lol. P.S. When writing this comment, I actually remembered that T was 2.55 from the problem, and that 2.55^4 was 42 point something. I had the class around 8 years ago and still remembered it. I went to my closet to get the book to refresh my memory and write this comment more accurately though. Also, "we" is referring to my friend and I. We were working and going through the problems together, but attempting the problems individually first

@jkzero 4 ай бұрын

Thanks for sharing your story. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@g4rrett73 4 ай бұрын

@@jkzero The algorithm recommended this video. I was searching for videos on category theory earlier (can't find and good videos on it though lol). This video was probably recommended because of my math related searches.

@jkzero 4 ай бұрын

@@g4rrett73 Thanks for sharing and I am glad the algorithm is working, I hope you find the other videos of interest too and welcome to the channel.

@topdog5252 4 ай бұрын

Some more great physics history. I love the history of physics (and mathematics).

@jkzero 4 ай бұрын

how about some classical physics next?

@pauldirc.. 3 ай бұрын

@@jkzeroyeah

@siddhuzplace3737 4 ай бұрын

I remember solving the long derivations of Planck's radiation formula, Rayleigh-Jeans formula, and thermionic emission formula (Richardson-Dushman Equation)... I almost forgot it. And I was completely unaware of the historical background... Thank you so much for this explanation! It was a master class.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. As an undergrad I was simply told "...and Planck appeared and solved it after he quantized energy," which is quite unsatisfactory. I decided to dig deeper and I thought I had to share this fascinating story. The follow-up is also quite interesting. Coming soon.

@waltertoki1 4 ай бұрын

This is an excellent video of a detailed history of Planck’s constant h, that was the beginning of Quantum Mechanics. After Planck’s paper, Einstein (photo electric effect) and Bohr (hydrogen spectrum) used h in their models which led to Quantum Mechanics, the most important scientific theory of the 20th century. This basically explained the atomic world.

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video, and Einstein and Bohr are coming soon. I have to ask: are you Professor Toki from Colorado State? If so, you invited me to CSU to give a seminar on Lorentz violation in neutrinos over 10 years ago when I was a grad student at Indiana U.

@user-tk2is9zj2p 4 ай бұрын

Wonderful. Thank you a lot. I was always curious about seeing the actual steps. Looking at it from a just mathematical perspective nowadays, it all seems so simple. But science is hard, when you don't know what comes next.

@jkzero 4 ай бұрын

True, in hindsight all the ideas and calculation seem so simple, but the conceptual jumps to get there is what makes these ideas and equations so valuable. I find most accounts of these stories to focus on the final result but I find the problems, the struggles, and the wild guesses fascinating and decided to share them here. Glad to find so many people moved by these stories and that don't shy away from some taste of the math behind.

@Mountaineer170 4 ай бұрын

❤amazing ! Thank you! Please do more videos

@jkzero 4 ай бұрын

The follow-up to this story is also quite interesting. Coming soon.

@janewray-mccann2133 4 ай бұрын

Great presentation Dr.. Superb to say the least. I look forward to subscribing. I also look forward to your presentation on the evolution of Group Theory, Professor Herman Weyl, the biggest leap forward in quantum mechanics since Planck worked out the maths.

@jkzero 4 ай бұрын

Thanks, and the subscription is appreciated. I am already working on the next video and many more to come in the near future on this and others topics. Welcome to the channel.

@alaeifR Ай бұрын

As a curious lay-person non-mathematician and non-physicist I found this history lesson riveting and illuminating! Looking forward to watching all other videos you've made.

@jkzero Ай бұрын

I am glad you like the content and thanks for watching. Make sure to check the other videos in the series.

@MyKukutis Ай бұрын

Thank you so much for so rich lecture

@jkzero Ай бұрын

Thanks to you for watching, I am glad you liked the content. Make sure to check the follow-up videos in this series kzfaq.info/sun/PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH

@marcovillalobos5177 4 ай бұрын

I absolutely love the mathematical details!! ❤

@marcovillalobos5177 4 ай бұрын

By the way, whats the meaning of the R constant?

@jkzero 4 ай бұрын

yeah, me too. We are used to hear the stories but sometimes I want to know the details, how is that an idea evolved to the final form that we find in textbooks. And I am glad that found an audience that also cares about this stuff.

@escandestone6001 4 ай бұрын

14:47 checked. Remove the extra minus sign in front of the (1/bv) to get 1/T = (1/bv) ln (1+ (kbv/U)).

@jkzero 4 ай бұрын

Thanks for working it out and checking. You are right, there is a minus sign that should not be there, that's a typo (not the first one). Of course, this does not change the final result but I messed it up. Good catch and thanks fro notifying. I will include an erratum on the video description.

@sphakamisozondi 4 ай бұрын

Wow, I've never heard this story before. I thought Planck worked in isolation, then BOOM!, he solved the UV catastrophe problem. I hv learned something new today

@jkzero 4 ай бұрын

We are used to hear the stories but sometimes we want to know the details, how is that an idea evolved to the final form that we find in textbooks? I am trying to fill those gaps.

@colorx6030 3 ай бұрын

The math overwhelmed me but I really liked the video. It's an amazing story since I've always admired Quantum Physics but I didn't really know much about it. So seeing the history of its development is quite interesting.

@jkzero 3 ай бұрын

Glad you enjoyed it! I am always curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@kwzieleniewski 4 ай бұрын

Seeing Curie, best known for chemistry, and Poincaré, best known for fractals, is really something TIL.

@kid_missive 4 ай бұрын

She looks bored! Or just excited to be there and not wanting to waste any time.

@jkzero 4 ай бұрын

I have always seen her as "I am so focused on this discussion with Poincaré that I didn't even notice that a picture was taken"

@carloshenao18 4 ай бұрын

It is very interesting to see the details on the development of such foundational concepts in modern physics. The mix of math and the historical significance make for an extremely compelling video. At least to nerdy engineer like me 😊. Please keep it up. I could watch videos like this all day.

@jkzero 4 ай бұрын

Thanks, I am glad you found the content of interest. The follow-up coming soon. In the meantime, for more mix of history and math please check my other videos, mostly focused on nuclear explosions and nuclear weapons.

@DJondo666 3 ай бұрын

Very detailed narrative revealing the moment of history I am always baffled by. The collective work of all scholars behind Planck's theory has not been mentioned in most physics classes

@jkzero 2 ай бұрын

I am totally with you. When I was a physics student I learned the solutions to the problems of the time but I remember that the lack of context and details was quite unsatisfactory. I decided to dig deeper, read parts of the original papers, and I decided to share the details and get the record straight. I think that the story gets even more fascinating. The follow-up with experiments is also quite interesting. Coming soon.

@beamshooter 4 ай бұрын

Im only 3:41 in... but already the best presentation of this material. I LOVE all the context formulae and experiments around this. Subbed.

@jkzero 4 ай бұрын

Excellent, I am glad you liked the content and thanks for the sub. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@beamshooter 4 ай бұрын

@@jkzerothe almighty algorithm actually brought me your critical mass video, which i liked for the content, but did not yet sub, as I wasn't entirely captivated by the style. So then the algo presented me with this. I found this video really let your presentation skills shine, probably because it is a great mix of both math and history.

@jkzero 4 ай бұрын

@@beamshooter Thanks for sharing and I am glad the algorithm brought you back. I find most accounts of these stories to focus on the final result but I find the problems, the struggles, and the wild guesses fascinating and decided to share them here. Glad to find so many people moved by these stories and that don't shy away from some taste of the math behind. I left the cliffhanger, so the follow-up video is coming soon. Thanks for the sub and welcome to the channel.

@rutger4131 Ай бұрын

Props for correctly pointing out the historical parody of the 'catastrophe' and telling the history correctly.

@jkzero Ай бұрын

Thanks, I am glad you liked the content. Make sure to check the follow-up videos in this series kzfaq.info/sun/PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH

@solcarzemog5232 3 ай бұрын

I didn't know the story. I've done physics in college but not this deep. I understood like 40% of the exposition, but it was so well laid out that the core message got to me straight and clear. You're an excellent communicator. I'd really wish to master the math behids this physics to fully grasp the meaning of it.

@jkzero 3 ай бұрын

Thanks for watching and the positive feedback. Follow-up video coming soon. Welcome to the channel.

@puneetkumarsingh1484 3 ай бұрын

I had read all this history in one of the modern physics textbooks! Glad to see it is making its way to the KZfaq community as well. Please keep making the sequels.

@jkzero 3 ай бұрын

Thanks so much for supporting me to keep making these videos! Make sure to check the others and more coming soon. Thanks again for your generous support.

@DJondo666 3 ай бұрын

Which textbook is so great?

@humbertorodriguezm 4 ай бұрын

Jorge. Maravillosa presentación. Gracias.

@jkzero 4 ай бұрын

Gracias Humberto por tus palabras, un gusto la apreciación que esta presentatión ha recibido así que ya preparando la siguiente.

@uncertainmagic2806 3 ай бұрын

Thank u sir

@zhelyo_physics 4 ай бұрын

Absolutely fantastic!

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?

@user-pl7oz1jr2q 3 ай бұрын

I can’t remember the last time I was blown away by a video to this level.

@jkzero 3 ай бұрын

Thanks so much for your generous support and for your encouraging message. I hope you also check the other videos, in particular the follow up

@nick-xz2ej 4 ай бұрын

It's here!

@jkzero 4 ай бұрын

it took a while but it is finally out

@ion8264 4 ай бұрын

as usual another great video

@jkzero 4 ай бұрын

Glad you enjoyed it

@Galileosays 4 ай бұрын

@20:22 Second eqn. should be; epsilon/(kT)=log(1+epsilon/U)

@jkzero 4 ай бұрын

Oh rats! You are totally right, I messed up the ε/U term. Thanks so much for pointing this out, it is a good catch. I will include an erratum in the video description. I do my best to avoid these typos but after watching everything many times some minor details slip through. Thanks again.

@dieterbaecher2975 4 ай бұрын

Thank you very much for this great eye opening video. Not that I was able (or willing?) to follow in detail, but now I have a vague understanding of how the idea of discrete energy came into beeing, as a mathematical trick first. Looking forward to learn how Einstein gave this trick a true physical meaning.

@jkzero 4 ай бұрын

@Somejeestudent-pk2ey 4 ай бұрын

The quality of the video is really good... I believe it matches that of Morphecular... The explaination is good too...

@jkzero 4 ай бұрын

Thanks, I am glad you liked the video. I am curious to know what brings viewers to the channel, were you searching for something in particular or did the 'mighty algorithm' find you?