The Biggest Ideas in the Universe | 23. Criticality and Complexity

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Sean Carroll

Sean Carroll

Күн бұрын

The Biggest Ideas in the Universe is a series of videos where I talk informally about some of the fundamental concepts that help us understand our natural world. Exceedingly casual, not overly polished, and meant for absolutely everybody.
This is Idea #23, " Criticality and Complexity." Having spend a lot of time on the basic ingredients of our universe, it's time to contemplate how they come together to make complex systems. The idea of critical behavior -- things happening at all spatial scales -- is an important organizing principle.
My web page: www.preposterousuniverse.com/
My KZfaq channel: / seancarroll
Mindscape podcast: www.preposterousuniverse.com/p...
The Biggest Ideas playlist: • The Biggest Ideas in t...
Blog posts for the series: www.preposterousuniverse.com/b...
Background image: en.wikipedia.org/wiki/Wikiped...
#science #physics #ideas #universe #learning #cosmology #philosophy #complexity #criticality

Пікірлер: 182
@tanaymehta7603
@tanaymehta7603 3 жыл бұрын
Professor you made my quarantine SPECTACULAR, just OUTSTANDING. Its a dream to learn such high-level topics in such a comprehensive manner from a professor of your stature. Feynman would’ve been proud!👍🏼👍🏼👍🏼🙏🏻🙏🏻🙏🏻
@primus4cameron
@primus4cameron 3 жыл бұрын
Hey it's cool to see someone your age inspired to comment, and I'm sure Carroll would appreciate the Feynman allusion. And yeah, the internet can reveal so much about... almost everything! You've just got to skip over the bright & sparkling, steer around the dark & murky, and keep going for the SPECTACULAR and OUTSTANDING. Good luck, and stay safe.
@savage22bolt32
@savage22bolt32 Жыл бұрын
What quarantine? The local grocery gave me a hard time because I didn't have a face covering, but I told them I had no way to get one if I couldn't shop, and they didn'thave any to sell! Other than that nonsense, I didn't do anything different or unusual for the past few decades.
@rhondagoodloe3275
@rhondagoodloe3275 3 жыл бұрын
Sean, Sorry there are only 2 more topics left in the series, but a Big thank you for all of them! Looking forward to seeing the elephant!
@gravitystorm58
@gravitystorm58 3 жыл бұрын
Wait he’s stopping after 25 episodes? :(
@Rattus-Norvegicus
@Rattus-Norvegicus 3 жыл бұрын
Same, I'll be sad when these end. I was stupid when I started watching...I'm still stupid, but I feel like I've made a friend.
@JohnDlugosz
@JohnDlugosz 3 жыл бұрын
He should make a playlist of what to watch next. My suggestions: * Brian Greene daily equation * 3Blue1Brown lockdown math * old SETI Colloquium recordings * SLAC public lectures
@jonwesick2844
@jonwesick2844 3 жыл бұрын
@@JohnDlugosz Also Leonard Susskind's lectures.
@SodiumInteresting
@SodiumInteresting 3 жыл бұрын
@@ScienceMessiah im afraid that is true 😏
@MyLameAnimations
@MyLameAnimations 3 жыл бұрын
Your "Biggest Ideas" videos are way over my head, but I still sit here and watch them all. You're so good at explaining that I actually feel like I understand what you're talking about. Just don't ask my to explain what I learned to anyone else.
@OlversEars
@OlversEars 3 жыл бұрын
Thank you Dr. Carroll. I'll watch the series several times again hoping to understand, not just be inspired. BTW, multiplying numbers is using a slide rule's relative lengths to get a number. Heaven help us to figure where the decimal point goes. That's where I started. Thanks again.
@papsaebus8606
@papsaebus8606 3 жыл бұрын
I wish someone combined this series in one ginormous book. It would be Penrose’s “The Road To Reality”, but much more accessible.
@Petrov3434
@Petrov3434 3 жыл бұрын
How true -- I am still stuck in the "The Road to Reality" -- without much hope I will understand most of it.... Here to one should give credit to Sean Carroll -- he gives credit to Roger Penrose where it is due and gives 50% probability estimate about "inflaton" field and cosmic inflation -- a courageous position. Roger Penrose is on record that he considers inflation a fantasy than can't explain key features of post-Big Bang.... - including in his famous book "Fashion, Faith and Fantasy"
@teddybrow
@teddybrow 3 жыл бұрын
Oh man, I've tried to read "Road to Reality" so many times over the years. I absolutely love the early chapters, but I always end up hitting a wall around chapter 9, at which point I become unfamiliar with much of the math. Penrose claims in the introduction that he intends the book to be readable and useful even for those with only high school level math (he basically says "just skip over the equations and focus on concepts!"), but as someone with undergrad minors in both math and physics, I've always been dubious of that claim. Maybe I should just keep pushing through the book and I'll actually get something out of the later chapters, but I can't help but feeling my time is better spent on either slightly less technical content (like this series) or by actually rigorously digging into the topics discussed. I tend to just get frustrated or lost in the in-between approach of "Road to Reality." I admire the intent of the book, and I'm glad it exists, but it's just... tough!
@CognitiveGear
@CognitiveGear 3 жыл бұрын
I'd just like to say as a casual viewer, as someone who is moderately familiar with mathematics & physics: I really appreciate this series, and hope you can go into more depth at a later date. You're filling a niche that doesn't really exist on youtube yet, and the platform as a whole (never mind the internet) can benefit from having experts like you simply make their own content, the way they want it, and cut through the middlemen.
@savage22bolt32
@savage22bolt32 Жыл бұрын
The book is always better than the movie...
@nowhereman8374
@nowhereman8374 3 жыл бұрын
Dr. Carroll, may you succeed in your own breakthroughs. You have made the world a better place by making this series.
@MyWissam
@MyWissam 3 жыл бұрын
Professor Carroll: I wish you'd make a "bonus video" on the way you organized or designed this whole project. You clearly allowed for enough spontaneity in the presentations, and Q&A, underpinned by a a conceptual plan. If you could share with us your cognitive experience, how you imagined it, and how it came out. I think this project was a big idea too, and I thank you for it...and look forward to its published book form.
@MS-il3ht
@MS-il3ht 3 жыл бұрын
He might have made it because of you!
@MS-il3ht
@MS-il3ht 3 жыл бұрын
THX!
@paulc96
@paulc96 3 жыл бұрын
Hi Professor Sean, really sorry to hear that we are coming to the end of this amazing series. But THANKS a million anyway, for the most informative, educational & interesting videos on the whole of KZfaq. Please don’t forget about the possibility of releasing the entire series on DVD. That would be great, and I’m sure you’d have plenty of takers. Best wishes as always from West Wales. And my sincerest thanks once again.
@seancarroll
@seancarroll 3 жыл бұрын
Erratum: In Kleiber's Law (1:28:00), metabolism goes as mass to the power 3/4, not 1/4. Thanks to Angry Satsuma in the comments. Also sigma should be squared in the formula for the normal distribution.
@darektidwell1158
@darektidwell1158 3 жыл бұрын
Could you give us your take on Constructor Theory?
@beenaplumber8379
@beenaplumber8379 3 жыл бұрын
I'm gonna bring that up with my dietician. My mass^3/4 tells me I need more food! (jk) Thanks Prof. You make learning physics a gentle process in this format. I hope you're taking notes and talking with colleagues because this format is far more effective than any online course I've seen, and more effective than most of my in-person classes from undergrad through my PhD (in nutrition). I think your joy in your material is obvious, and a big part of your effectiveness.
@Willyazaa
@Willyazaa 3 жыл бұрын
@@kabirmunjal9149 Another new quantum mechanics book? Have you checked out Sean's book "Something Deeply Hidden"?
@MS-il3ht
@MS-il3ht 3 жыл бұрын
@@darektidwell1158 YES, just YES!
@NeotenicApe
@NeotenicApe 8 ай бұрын
I haven't been this hooked on a course in a very very long time. You're an incredible teacher and science communicator. Thank you. I hope you keep doing these.
@galantonp
@galantonp 3 жыл бұрын
For me, this series is right up there with Feynman's Messenger Lectures. Thank you for this amazing series!
@vinm300
@vinm300 2 жыл бұрын
It is wrong to make fish of one and flesh of the other, but I'd rather have Professor Carroll's series any day : nobody explains it more lucidly than Sean.
@savage22bolt32
@savage22bolt32 Жыл бұрын
I have Feynman's 6 hour vid & all of this series saved for a second viewing. Hope I live long enough to watch again.
@p_square
@p_square 3 жыл бұрын
As always, AMAZING, ENTHRALLING, INFORMATIVE AND MIND BLOWING. You make it easier for us to understand complex subjects. Thanks Professor
@iridium1911
@iridium1911 3 жыл бұрын
Honestly big big shoutout to Sean. He didn't have to make these videos, he certainly doesn't make much money from them, and he took a LOT of time to make them, even going to the trouble of finding some cool graphics to make the whole thing a little more dynamic to watch. Some of the topics are way over my head but he balances talking to laymen vs showing you how deep the subject is and alluding to things you might have a tiny grasp of, and you gain just that little bit more when someone leaves a bit of the complexity in the lecture. He was really born to teach and explain. Whether or not he makes some big monumental physics discovery one day, he will no doubt be responsible for fostering the love for this topic in many young people who will further the cause. If i wasnt a 30-something lawyer with crappy math skills, I'd definitely go become a physicist and a big part of it is inspiring figures like this man.
@Rattus-Norvegicus
@Rattus-Norvegicus 3 жыл бұрын
Thank you so much for making this lecture series and for making it free for all on KZfaq.
@henryj.8528
@henryj.8528 3 жыл бұрын
God, if she exists, knows how many YT physics/cosmology videos I've seen (Susskind, Feynman, et al, ad nauseum). The Biggest Ideas in the Universe series is by far the best. Much better and more complete explanation than anywhere else. Not a big fan of the Brian Green/Degrasse Tyson/PBS type of program that's heavy on CGI and lite on content and depth in any case. I especially like the Q&A follow up to clarify points many of us get wrong. I wish you'd explain why the progress of particle physics/cosmology has sort of stagnated since ~1973. We keep looking for some things and never find them (proton decay, dark matter particles, quantum gravity). Some of the explanations we do have seem contrived to fit the data but don't lead to any deeper understanding (no patterns, no overarching structure, no method to the madness). What's up with that? We need a breakthrough.
@jefferywyss8740
@jefferywyss8740 3 жыл бұрын
He
@x2Shae
@x2Shae 3 жыл бұрын
I'm not ready for this to end... Thank you for the series , Sean! This has been one of my favorite series I have ever watched on youtube. I'm glad I can support on different sites
@hym279
@hym279 3 жыл бұрын
You make it too difficult, Prof. Carrol. Instead of elephants we would've understood a lot easier with spherical cows! Thanks a lot for this series!!! so informative, fun, enjoyable, etc. it's a honor to be part of your community :) Best possible use of our quarantine time, both yours and ours.
@vv13346
@vv13346 3 жыл бұрын
My Gawd, Sean! You’re prolific! Fun watching the method to your madness come together in this great series! Thanks! Wondering about criticality/phase transitions in systems characterized by Tracy-Widom distribution.
@pizzacrusher4632
@pizzacrusher4632 3 жыл бұрын
So good! I keep watching them all over and over again, hoping that some day I'll understand it all, or at least be able to articulate it all as well as you do.
@grolmidri7759
@grolmidri7759 3 жыл бұрын
Thank you so much for this series of videos and all the other ones you have made. They are fantastic.
@jtturner186
@jtturner186 2 ай бұрын
Best science explainer in America
@3xAudio
@3xAudio 3 жыл бұрын
Love your videos man such an inspiration for me to make my own videos and help people.
@ramuma53
@ramuma53 3 жыл бұрын
You explained it so well, that you made extremely difficult concepts, understandable, I think yours is the best Relaitivity theory explanation I have had.
@michealcline2469
@michealcline2469 Жыл бұрын
How do these videos have tens of thousands of views, but only a couple thousand likes?... I love these videos, and the whole series... Thank you for your devotion to science education.
@nurk_barry
@nurk_barry 3 жыл бұрын
Weekly drop by Sean is great as usual.
@sudippatra1289
@sudippatra1289 3 жыл бұрын
Dear Professor thanks a ton for this wonderful series! it is sad that this is going to end ...will really miss..but hope we can still continue discussing and exploring
@jackychan4640
@jackychan4640 3 жыл бұрын
Sean, thanks for your good work.
@williamwhitt9857
@williamwhitt9857 3 жыл бұрын
NOOOO. Only one more? This series is amazing because it's like your solo mindscapes. Gonna be real sad when it's over.
@at0mly
@at0mly 3 жыл бұрын
Sad it's nearly done, one of my favorite video series on youtube.
@woody7652
@woody7652 3 жыл бұрын
Thanks, Sean.
@puppetperception7861
@puppetperception7861 Жыл бұрын
ngl this is perfect with asmr in the background. The emergent form of Bob Ross
@teddybrow
@teddybrow 3 жыл бұрын
"idea number 23 **out of 24**" 😭😭😭 Just as so many others have expressed in the comments, I'm sad to see this series ending, but also thank you *so* so incredibly much for all the time and effort you've put into it! I feel confident these videos will be a go-to resource for physics-enthusiasts for decades to come. They came at a perfect time for me, as I've been contemplating shifting from my current field of software engineering back toward physics (my first love). Your videos have been very informative/helpful as well as inspirational. Side note: by coincidence it looks like I'll be caught up just in time for the release of the final topic + Q&A videos! I got a late start on the series at some point in early August and didn't set any sort of schedule for getting through them, so I was surprised to see the timing work out so nicely for me 😛
@kn9ioutom
@kn9ioutom Жыл бұрын
THE UNIVERSE IS SIMPLY COMPLEX !!!
@mDecksMusic
@mDecksMusic 3 жыл бұрын
Thanks
@marcsmerlin
@marcsmerlin 3 жыл бұрын
Sean, in case you're looking for a "bonus" for the Q&A for this video, you might want to consider a brief discussion of Benford's Law. I've always been fascinated by this surprising observation about the distribution of the leading digits of real-life data sets. I imagine others would find it interesting, as well.
@gilbertengler9064
@gilbertengler9064 3 жыл бұрын
👍👍👍👍Many thanks!
@bogardchango.d.4598
@bogardchango.d.4598 2 жыл бұрын
Great video。
@w6wdh
@w6wdh 3 жыл бұрын
Professor Carroll, at the end of this series, could you mention where the concepts in it would be covered nowadays at Caltech? I’m curious where the concepts would be taught (at a problem solving level) in the undergraduate and graduate level courses in physics and math at Caltech. (I received a BS degree in Engineering and Applied Physics from Caltech in 1977. If I had you for Physics 1 or 2, I would have switched my major to Physics!)
@anirudhadhote
@anirudhadhote 7 ай бұрын
❤ Very good 👍🏼
@rickharold7884
@rickharold7884 3 жыл бұрын
Rock on, awesome!
@tiborkoos188
@tiborkoos188 3 жыл бұрын
i loved the spherical elephant !
@deepbayes6808
@deepbayes6808 3 жыл бұрын
Nice talk Sean. I think it is normal because samples cannot be extreme, so the mean is representative, as opposed to say power law or heavy tail distributions where there is no normal size.
@jursamaj
@jursamaj 3 жыл бұрын
The problem for Pluto is not its shape, but the fact that it hasn't "cleared its neighborhood".
@sebastiandierks7919
@sebastiandierks7919 3 жыл бұрын
At 18:50, I think you need a sigma squared in the denominator of the exponent.
@JohnDlugosz
@JohnDlugosz 3 жыл бұрын
Correction: Pluto is easily large enough to be in hydrostatic equilibrium. What it lacks is "clearing out its orbit". For an example, look at the second-largest body in the asteroid belt. It's not classified as a dwarf planet -- it's sort of round but has a chunk missing. It would be in hydrostatic equilibrium if it were hotter, as it was when it had formed. But once it cooled, it happened to still be round but when a piece was knocked off the rest did not slouch back together. en.wikipedia.org/wiki/4_Vesta#Physical_characteristics
@beenaplumber8379
@beenaplumber8379 3 жыл бұрын
That's a real problem I have with the current definition of a planet - that it has to clear out its orbit. They made a post-hoc definition that excluded Pluto. Pluto is still working on it! It has not revolved around the sun nearly as often as the inner planets, so it hasn't had the chance to clear its orbit. Besides, what did Mercury have to clear out? How much material was in stable orbit in Mercury's path that didn't quickly fall into the sun early during accretion or get cleared away by Venus or Earth? There are other objects in Earth's orbit that have not been cleared out, so it has to be a matter of degree, but when I read that definition, I don't remember there being any minimum or maximum degree of allowed material still in the orbit, or any specification of how far from the orbit debris can be allowed. Yes, I am sentimental about Pluto, and I accept that it is obviously a Kuyper Belt object (orbital eccentricity and non-circularity, other KB objects being larger and of similar composition, etc.), but they need another definition of a planet that does not seem custom-designed to exclude Pluto. It's more planetary bigotry than objectivity. What is the justification for needing to clear out its orbital path as a definition for a planet? That just means it's massive, old, and close to the parent star. While our current 8 planets were busy clearing out their orbits, were they not planets then? Which asteroid impact signaled Earth's transition from non-planet to planet? When was its path clear enough?
@JohnDlugosz
@JohnDlugosz 3 жыл бұрын
@@beenaplumber8379 You won't come up with a proper definition that includes _only_ Pluto. The same story played out with Ceres and Vesta -- textbooks shows them as planets! But once astronomers realized they were members of a "belt" they dropped the designation with little fanfare. Clearing the orbit, different from Mercury: Pluto's actually under Neptune's thumb. It's locked into a 3:2 resonance, along with many other bodies.; It's not doing any clearing! Rather, it's shepherded into position by the planet that rules that region. I think the real definition needs to be "what's interesting/unique" to be learned by the general population. Like with bodies of water: you don't learn every pond in the world, and not only the "great lakes"/"inland seas" either, but some that are of novel character or special importance, regardless of size. Others are just groups like "the finger lakes", a feature made up of many individual bodies. Lake Vostok in Antarctica is _interesting_ and the first found and largest of its class, but not "large" like the Nile or the Med. But it's on the list of things people learn about.
@black_jack_meghav
@black_jack_meghav 3 жыл бұрын
Professor i appreciate videos like this but i would also appreciate full fledged lectures by you.
@JohnDlugosz
@JohnDlugosz 3 жыл бұрын
1:08 Before you got to "sand pile", I was thinking about "Strange Attractors" in Chaos (and their visualization via fractal drawings that were so popular in the late 80's -- remember FRACTINT on DOS?) Re sandpile for real: I recall reading about an experiment where a mechanism was built to drop one grain of sand at a time and study the pile. This was decades ago now. Much was learned, including the observation that the pile would become steeper until a shallow landslide took it back down to the bottom of the range again. These large sheet movements took place on different scales... I don't remember the details.
@shera4211
@shera4211 3 жыл бұрын
@Sean Carroll Can you please do provide a 24-episode series about criticality you mentioned in this video! That would be very interesting I think! (and thanks in advance 😇). I also have a question, can the Per Bak model also explain honey coiling?
@PavlosPapageorgiou
@PavlosPapageorgiou 3 жыл бұрын
I predict idea #24 will be Life
@frrrmphpoo1700
@frrrmphpoo1700 3 жыл бұрын
24 + 42 + life = mindscape episode 100
@iplaypocketfjords
@iplaypocketfjords 3 жыл бұрын
Please let this not be the 2nd last topic! Enjoyed every lecture but as a poker player really loved the explanation of binomial distribution. The entire lecture was great. I gave my best friend a Galton Box on her Birthday last year. By the way, Professor Carroll, why does binomial distributions show up in 2-card poker? Smth like No Limit Texas Holdem. I was reading Chaos by James Gleick and also perhaps mentioned in The Information - one thing that struck me was that a function in that bell shape is part of the Mandelbrot set...where there are bifurcations and all sorts of things happening & the applications even extend to why redundancy is error correcting (example - using Victor and Bravo, Fifer and Niner in the aviation industry to make sure V and B or 5 and 9 are not mistaken for each other) & the representation of the Mandelbrot set on a number line was awesome. There was also a mention of how chaos and bifurcations within a function belonging to that set are error predicting? Is this something you can answer in the Q&A video. Also, one Q&A video at the very end covering all the lectures - surely that could be a thing? The Q&A to rule all other Q&A. We'll call it The Lord even if it's not carrying a Ring.
@michaelschnell5633
@michaelschnell5633 3 жыл бұрын
In this video I would have expected some reference to Leonard Susskind's work on Complexity and quantum theory, which i find extraordinarily intersting
@JohnDlugosz
@JohnDlugosz 3 жыл бұрын
If website links is a classic problem, it really dates your field!
@themenace4716
@themenace4716 3 жыл бұрын
Hello Sean. Love you work. You talked about criticality and touched upon phase transitions. Could spacetime be thought of as a phase transition of the underlying quantum mechanical degrees of freedom? The metric could be the order parameter. We go from a phase with 0 metric (the qm dof not yet transformed into spacetime) to a state with a non-vanishing metric (the qm dof have now 'coagulated' into spacetime) similarly with a second order phase transition. This could be the mechanism of emergence of spacetime.
@santiagoacevedo4094
@santiagoacevedo4094 Жыл бұрын
crazy good
@nathanokun8801
@nathanokun8801 3 жыл бұрын
Small fact: Using a fixed strength of steel for the barrel, a fixed projectile muzzle velocity, a given fixed powder type, and a fixed projectile shape and design, just scaled in proportion to the gun size, a gun's weight goes up roughly with the 4th-power of the bore diameter because the area on the projectile base that the powder blast pressure is pushing on is getting larger by the square of the diameter and the projectile weight is going up with the cube of the diameter, so more and more powder has to be added to push harder along that barrel and the gun has to be made stronger and stronger to handle the additional force as its size goes up, needing more steel. Modern guns look thinner than old guns only due to stronger, tougher steels being used to make them.
@garyhuntress6871
@garyhuntress6871 3 жыл бұрын
Untrained neural networks often contain millions of weights that are initialized from a normal distribution. They are iteratively trained and the weights evolve to a point where it can successfully perform the task ("is this a picture of a cat or dog? Y/N"). I'm going to analyze my nn model weights and look for power law and criticality behavior.
@d95mback
@d95mback 3 жыл бұрын
It will depend somewhat on the training algorithm and also there will be cutoff and normalization effects, but yes, it seems that a power law is the best fit, and that\s not unexpected considering.
@LearnedSome
@LearnedSome 3 жыл бұрын
It's called the "normal" distribution because it is normalized. That is the data undergoes a specific transformation that ensures certain parameters get predetermined values, just like you mentioned (Variance = 1, Mean = 0). The transformation in question is achieved by subtracting the mean and multiplying by the standard deviation. Statistics 101 to the rescue! :)
@Attila_Beregi
@Attila_Beregi 3 жыл бұрын
Tom Scott made a video on the walking speed problem, and in there was an interesting idea, which is that it's simply younger people live in bigger cities.
@jainalabdin4923
@jainalabdin4923 3 жыл бұрын
Question for Q&A: How is entropy related to complexity? For example, black holes have very high entropy, but low complexity (No Hair Theorem), so the relation seems inverse?
@SandipChitale
@SandipChitale 3 жыл бұрын
Thanks for the video. Given the chemical properties of hydrogen, carbon, oxygen, nitrogen and some metals, has any one done power law analysis and preferential attachment analysis for formation of complex organic molecules, amino acids, proteins, RNA, viruses, DNA and eventually life? is that even applicable to the stated problem.
@limerence18
@limerence18 3 жыл бұрын
I think the last one might be about Life and Evolution
@SandipChitale
@SandipChitale 3 жыл бұрын
And brain and mind.
@michaelschnell5633
@michaelschnell5633 3 жыл бұрын
There is a trivial fact that would lead to the preference of big cities (proba(x(n)) proportional to n, in that you are more likely to choose a location where some of your acquaintances live :)
@LearnedSome
@LearnedSome 3 жыл бұрын
And criticality got its name from the physics concerning critical points, as defined in calculus. For a single variable function it's any point where the derivative over the variable is 0. Criticality is the physics of such points as you've so admirably explained in this video.
@James_Stewart
@James_Stewart 3 жыл бұрын
Here's a shot in the dark at a time of day when it is far too late/early to bother considering it myself - Is complexity an entropic system? Is there a relationship between or binding the two as they both inherently increase over time? Or is it that I'm just too tired at the moment to be bothering here this week?
@michaelshapiro3919
@michaelshapiro3919 3 жыл бұрын
Dear Prof.Carroll: What about Wigner experiment and its implementation by Proietti et al.? What do you think about it? I think this is a relevant question for your upcoming QnA 23.
@WillPittenger
@WillPittenger 3 жыл бұрын
Actually, Pluto passes the spherical test. Even Charon, while considerably smaller than Pluto, also passes. Where they fail the 3 criteria set by astronomers is the "clearing of the orbit" test.
@StayPrimal
@StayPrimal 3 жыл бұрын
Wow I will miss your videos ... You are my favorite. PS I will miss Ariel as well.
@nathanokun8801
@nathanokun8801 3 жыл бұрын
The city walking speed increase with larger cities may simply be that the spacing between places that people want to go is bigger in a bigger city so they have to walk faster to get anywhere in a reasonable limited time -- lunch break time, for example. Not necessarily a mystery, is it?
@llydndrsn
@llydndrsn 3 жыл бұрын
Professor Carroll: I am curious whether you have any thoughts on the work of Ilya Prigogine. Decades ago he explored how order arose from chaos, postulating that dissipative structures arose in out of equilibrium systems to minimize the growth of entropy. You had César Hidalgo, something of an intellectual descendant of Prigogine, on your podcast Mindscape. Do you think Prigogine's work sheds light on complexity, phase transitions, and criticality?
@chobletchoblet3273
@chobletchoblet3273 3 жыл бұрын
Hello! I'm a tutor and would love to know what software Sean has been using for this series. I finally have enough to get myself a nicer tablet and my students and I would love this type of setup, but I can't seem to find it with my searches.
@bohanxu6125
@bohanxu6125 3 жыл бұрын
48:30 having the same form with possibly different parameter scaling invariant in the context Am I missing something? it seems different from scale invariant for field theory. Do we also need to make sure the parameter is only a trivial change of numerical value? (in that case I think...n(s) has to be dimensionless right?... so {the unit of k and s^whatever} can gives a trivial numerical change of k )
@amlanmihir4985
@amlanmihir4985 3 жыл бұрын
Hey Sean, can you tell me what's that progam you're using for explaining the diagrams and stuff
@crassflam8830
@crassflam8830 3 жыл бұрын
Could we define "systemic complexity" as the length of the shortest algorithm that can predict the next state of the system? (given some current or starting state)
@stick109
@stick109 3 жыл бұрын
Sean, you can represent first N digits of any irrational number as a ratio of two integer numbers of length sqrt(N). Whether it is pi or sqrt(2) does not make a slightest difference. It is absolutely not easier to represent pi or sqrt(2) in terms of Kolmogorov complexity than any other irrational number. Or any random sequence of digits of the same length, for that matter.
@PhilFogle
@PhilFogle 3 жыл бұрын
Kleiber's Law: power is 3/4, not 1/4 :))
@Aquadolphin314
@Aquadolphin314 3 жыл бұрын
Can anyone explain that odd point out in the plot at 1:37:16? I mean, why on earth would people in cities with some specific number of people walk significantly slower than the power law suggests???
@hamandchees3
@hamandchees3 3 жыл бұрын
Totally random question... what's the relationship between power laws and entropy?
@naderchmait5543
@naderchmait5543 3 жыл бұрын
Great lecture. The computer scientist in me can't help but to note that the (Solomonoff-)Kolmogorov complexity is uncomputable (so I'd advocate that it should only be used as a bound on algorithmic complexity rather than an estimate).
@SuperProtector
@SuperProtector 3 жыл бұрын
real nice presentation. the weight of african bush elephants do not follow normal distribution because there will be no case of a weight bigger than 99999Kg and negative. But we can use it as an approx. thnx a lot. I learn a lot from U...
@somachatterjee6364
@somachatterjee6364 3 жыл бұрын
Please make a video on wormhole.
@binaryalgorithm
@binaryalgorithm 3 жыл бұрын
Scale free networks... the brain is one. The complexity seems to surface in between the very small and the very big, where different paradigms overlap. The criticality in the middle of the plot, maybe just the state our universe happens to be in between big bang and dilution by dark energy into inactivity.
@notmadeofpeople4935
@notmadeofpeople4935 3 жыл бұрын
KZfaq is consistently recommending only the Q&A videos. Weird. I like the Q&A but, I'd like to watch the primary video first.
@Dth091
@Dth091 2 жыл бұрын
If the big bang could be loosely considered a phase transition, does it kinda track that we can't know the structure of space before it since the passing through criticality meant that scale-dependent relations were lost? EDIT: Additionally, could the reemergence of scale-dependent relations appear like a change in observable scales in the universe? Expansion, perhaps?
@inigojavierpuentehenales9045
@inigojavierpuentehenales9045 3 жыл бұрын
At circa 19:30 there is an error in the gaussian exponent denominator : should be 2*sigma squared ;-)
@DrLogical987
@DrLogical987 3 жыл бұрын
Re heavy tails: you say "calculate the mean". You can always calculate *a* mean of actual data. But a mean is meaningful only for finite standard deviation... And the SD of a power law distribution is, almost infinite. IMHO it is an error data analysts make - stuffing a vector of numbers into the mean() function, without checking if there's really a normal distribution around
@jonwesick2844
@jonwesick2844 3 жыл бұрын
I think you need to square sigma in your formula for the Gaussian distribution (at 19 minutes).
@Petrov3434
@Petrov3434 3 жыл бұрын
Kolmogorov's complexity is an elegant concept -- also used to measure intelligence (in a sense of solving problems) of various animal species (not only humans ;-)) ) On scale -- your readers might be interested in book by Geoffrey West - "Scale". He is a physicist who spent decades working on Texas collider - a project that was cancelled by mandarins in Congress -- after that he studied physics in bio-systems -- highly recommended PS: I just heard that Sean extensively describes West's book "Scale" -- my apology
@misium
@misium 3 жыл бұрын
Why power law and not some other relation with a many small and few large events?
@MyWissam
@MyWissam 3 жыл бұрын
The Q&A video for this lecture appears as ‘private’ ... I wonder if Professor Carroll is aware of this.
@privat8224
@privat8224 3 жыл бұрын
A neutron star is by no means the size of the earth. You probably meant a white dwarf. Great series though!!!
@allentaylor8625
@allentaylor8625 3 жыл бұрын
Great video in a great series. However, Pluto was not demoted to dwarf planet status because it was insufficiently spherical. In fact, it is much closer to sphericality than is Saturn. It was demoted for scurrilous political reasons. The argument was that it had not cleared out its orbit of other objects. If that were valid, then Earth would not be a planet. There are thousands of so-called "Near Earth Objects" )NEOs that have not be cleared out of the Earth's orbit. Furthermore, if Earth were at the same distance from the sun that Pluto is, it would not have cleared its orbit any more efficiently. The demotion of Pluto to dwarf planet status was a bogus political stunt that happened in a vote that occurred after many of the delegates to the conference had left for home. Those remaining were overwhelmingly not planetary astronomers.
@leapdaniel8058
@leapdaniel8058 3 жыл бұрын
I have heard it said that everything ever written can be found encoded in the digits of pi, since although the digits are not random they are pseudo-random. 10:58 Here you imply that "being found in the digits of pi" is sufficient to make any finite string of digits simple, at least in terms of the Kolmogorov complexity. Wouldn't that imply that every finite string of digits is simple? Since every finite string of digits will eventually be found in the digits of pi.
@jeffbass1165
@jeffbass1165 3 жыл бұрын
Got em lol
@juanmanuellosada2818
@juanmanuellosada2818 3 жыл бұрын
No, since you would need to specify where in the digits of pi your sequence starts, and that specification will most likely be more complex than the sequence itself.
@leapdaniel8058
@leapdaniel8058 3 жыл бұрын
@@juanmanuellosada2818 Ah makes sense, thanks!
@CorwynGC
@CorwynGC 3 жыл бұрын
Not because they are pseudo-random, but because they are patternless and infinite. Being found in the digits of pi does not make any finite string simple, (nor did he imply that) since you would also need to give the place in pi where that string takes place, and that is likely longer than the string itself, (proof left as an exercise). You would need to find a algorithm for every finite string which is shorter than the string itself.
@ChronosWS
@ChronosWS 3 жыл бұрын
I think the answer is: No, because the finite substring is defined by two parameters in addition to the function for pi itself: the length of the substring, and the number of digits of pi you have to discard from the function before you can start consuming them. But how do you determine where to stop discarding? Well, you have to search for it, and in particular to search for the thing, you have to know *what* it is you are searching for, which means the actual complexity is equal to the complexity of the number you are searching for in addition to the complexity of pi (and searching itself.)
@n1k32h
@n1k32h 3 жыл бұрын
Ok. Microscopic to macro etc. We haven’t Learnt the rapid expansion phase yet!
@eddie5484
@eddie5484 8 ай бұрын
IIRC it's 'normal' because the area under the graph is one.
@jonwesick2844
@jonwesick2844 3 жыл бұрын
Here's a naive question that has bothered me since I worked in meteor burst communications decades ago. The distribution of meteors follows a power law p(m)=k/m where m is the mass. If you wanted to calculate the mean mass, you'd naively multiply this distribution by m and integrate from m=0 to infinity. This integral does not converge, which is clearly nonsense. Does anybody know how you should calculate this?
@JohnDlugosz
@JohnDlugosz 3 жыл бұрын
re the brain: The fact is that there are limits to the scales allowed, from the smallest unit of activity up to the entire brain being the largest. Add to this the fact that the population is actually discrete and finite, so if you were to measure all of them you *would* get an average! I wonder if it might be the case that some particular flavor of normal curve like the lognormal might be indistinguishable from a power distribution given the entire population. Just speculating here... it might be the case that the parameters of the lognormal curve vary widely between individuals, even though the power curve slope is nearly the same. In this case, the former would be a better model for predictive power and classification, even though it's actually a physical approximation to what should be a power distribution if you modeled it abstractly.
@rustyspottedcat8885
@rustyspottedcat8885 3 жыл бұрын
"It doesnt mean the model is right .. it just means the model is not wrong"
@Petrov3434
@Petrov3434 3 жыл бұрын
PS: A Question: In your estimate how many there are googols (10 on 100) multiverses in your "mad-dog" Everett-ian hypothesis... ;-))
@ronnietynell2884
@ronnietynell2884 3 жыл бұрын
Great series! I love your work. Now for a not very relevant comment: In this episode at approx. 1:14 you twice pronounce the word organism in a very subtle way. You might want to revisit the audio :-) I’m not a native english speaking person, so it may just be my ears
@ivocanevo
@ivocanevo 3 жыл бұрын
1:14:02 yep, me too. I definitely had to rewind five times to convince myself it wasn't "size of an orgasm". Which tbh would be a riveting topic.
@ivocanevo
@ivocanevo 3 жыл бұрын
Ok, on hearing the second Freudian slip I'm now pretty sure that Sean isn't really interested in organisms.
@bigmikebeebee
@bigmikebeebee 3 жыл бұрын
New podcast: Sexy Time with Prof. Sean Carroll
@iplaypocketfjords
@iplaypocketfjords 3 жыл бұрын
Shout out Nicholas Taleb!
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