@sturrum5250
A hundred times yes to a video about matrix mechanics. The usual quasi-historical presentation of Planck-Einstein relation -> Bohr model -> de Broglie relation -> Schrödinger equation is fairly intuitive and easy to understand mathematically, but I find it also obscures a lot of the inner workings of QM and has some pedagogical pitfalls (like making it easy to confuse fields and wave functions). I was also pleasantly surprised by Jordan's comment about the additivity of entropy. Too often do we neglect to mention how involved statistical mechanics was (and is) in fundamental physics.
@m24213
I am starting to see why Einstein is considered a Legend in physics community. Brownian motion, Light Quantization and Photo Electric effect, and now the wave particle duality etc all explained with such solid physics reasoning and logic that even people who dont agree with him, cannot ignore. Any one of these topics would be enough to give this man a Nobel prize, but all of them combined, and coming up with this totally out of world idea of special and General Relativity explaining the time dilation and Curving of space time ?? Like this man has done enough contribution of physics that would take many of us life times to even come close. No wonder he is a the Mascot of Genius.
@kfawell
I love your videos. The combination of history, technical details, and elaboration are so engaging and enjoyable. Thank you very much for making these.
@jamescarnevale3312
Dr. Diaz, the math and your smartphone analogy make the wave particle duality of light simple in a way my professors never did. Outstanding.
@abrikos1100
It's amzing that general result is exact sum of particle and wave limits
@HuygensOptics
In my opinion, this by far the best theoretical video on the subject I've seen so far. I've even watched it multiple times! The actual math is going at an extremely high speed, which is I guess okay, because otherwise this would be a very long video. I think though that on a detail level it will be difficult to follow along for many viewers. But I very much appreciate the general overview that it also contains: how the fluctuations in energy in a confined system holding electromagnetic radiation can be described as a combination of wave and quantized properties, whose relative importance is dependent on the frequencies contained in that system. In a way that aligns quite well with my own view that a photon is merely a quantized interaction between radiation and matter (or vice versa). If you think about how energy fluctuations can come about in a system , it's only because of energy interaction / exchange with the external system. Depending on the nature of the interaction and wavelength, the interaction will bring out the wave- or quantum nature of radiation. The reason that I personally consider the photon to be an interaction is that it allows me to easily make sense of interference and diffraction experiments with light. Anyway, your videos are top notch, so please keep making them!
@jmcsquared18
8:58 That is so gorgeous. The main feature that determines how quantum objects behave is their wavelength. Low wavelength, high frequency objects behave like particles, so high energy photons such as gamma rays participate in processes such as Compton scattering which is basically an elastic collision between billiard balls. Whereas large wavelength, low frequency objects behave like waves because we can measure their wavelike properties more easily (since obviously their wavelength is larger). This corresponds to things such as electrons in energy eigenstates of the atom, or low energy infrared photon absorbance causing molecules to oscillate with the wave. That the low frequency and high frequency fluctuations are given exactly by the number of wave modes and quanta respectfully is an exact illustration of this duality. As always, your videos are as informative as they are entertaining. Keep it up!
@yangxf_nucyang2926
YouTube needs professional science videos like this. Instead of being filled with worthless videos
@colorx6030
Woah, that's an interesting analogy on wave-particle duality of life. I've always assumed before that it's both a wave and a particle, but somewhere I learned that it's not a wave, it's not a particle, but it's also not both. That cellphone analogy makes it a bit easier to digest now.
@RapunzelDisney-g7q
Please make a series on Relativity theory
@Schraiber
Fascinating video. I had never heard about Einstein's calculation of the energy fluctuations, super clear exposition of this
@commonwombat-h6r
one of the best video series on youtube. I eagerly await each new episode
@Sep-n7w
That the relative energy fluctuation works out to 1/M+1/N is kind of cool.
@Miguel_Noether
Man your conclusion (with already physics knowledge) is the best part of the video, the cat and duality analogies are so old and unnecessary and only used to impress non physics audience
@cryofractal
The fact that the matrix mechanics paper casually invented some of modern quantum mechanics just to get additive entropy sounds so insane
@DerMig590
Jorge, you're so close to figuring this out. A photon is not a particle, it's a quantity of energy transmission over a period of time. It's not a wave either, but rather a pulse of energy transmission in a wave-like pattern. Like water being sprayed from a sprinkler. You wouldn't think of a pulse of water as a discrete object. A pulse that repeats itself is also not a series of objects but rather a fluctuating continuous stream.
@Erufailon.83
WOW, Einstein is so underrated. Yes, he is the personification of Genius, but many (including myself) think that that is because of the Relativity but he has done so much more than relativity. I admired him before, now I think he was an alien, he has made so many contributions to Physics that he deserved 10 Nobels, not 1.
@luudest
I did not know that Einsteins works of 1905 were not recognized for a long time. Intresting! Thank you for the video.
@macslash5833
incredibly unsubtle hint that QFT might be a topic later... very awesome thank u for these videos they are genuinely works of art, I like how u don't shy away from the math it feels less like you've plucked ideas out of thin air and makes them feel more like the rigorous ideas based in what was known at the time
@jkzero