Veritasium
VeritasiumChaos theory means deterministic systems can be unpredictable. Thanks to LastPass for sponsoring this video. Click here to start using LastPass: https://ve42.co/VeLP
Animations by Prof. Robert Ghrist: https://ve42.co/Ghrist
Want to know more about chaos theory and non-linear dynamical systems? Check out: https://ve42.co/chaos-math
Butterfly footage courtesy of Phil Torres and The Jungle Diaries: https://ve42.co/monarch
Solar system, 3-body and printout animations by Jonny Hyman
Some animations made with Universe Sandbox: https://universesandbox.com/
Special thanks to Prof. Mason Porter at UCLA who I interviewed for this video.
I have long wanted to make a video about chaos, ever since reading James Gleick’s fantastic book, Chaos. I hope this video gives an idea of phase space – a picture of dynamical systems in which each point completely represents the state of the system. For a pendulum, phase space is only 2-dimensional and you can get orbits (in the case of an undamped pendulum) or an inward spiral (in the case of a pendulum with friction). For the Lorenz equations we need three dimensions to show the phase space. The attractor you find for these equations is said to be strange and chaotic because there is no loop, only infinite curves that never intersect. This explains why the motion is so unpredictable – two different initial conditions that are very close together can end up arbitrarily far apart.
Music from https://epidemicsound.com “The Longest Rest” “A Sound Foundation” “Seaweed”
source
25 Comments
@PiLordSigmaEpsilon
02/20/2025 - 5:45 PMI feel like dynamic programming is intertwined with this effect.
@jccusell
02/20/2025 - 5:45 PMAmazing commentary on climate science, thank you.
@AmanJha-m7i
02/20/2025 - 5:45 PMthat is why he who remains may have predicted future upto a cerain point in sacred timeline.
@BlueWizardsII
02/20/2025 - 5:45 PMProbabilmente è stata solo una coincidenza, ma un giorno o due fa stavo passeggiando per Giarre e ho visto una farfalla svolazzare sul marciapiede davanti a un negozio.
@Philip-xj2ul
02/20/2025 - 5:45 PMThe first sentence is wrong
@Apkiller07
02/20/2025 - 5:45 PM1:00 or how can I affect the future?
@noneya4705
02/20/2025 - 5:45 PMthat proves that the universe doesnt follow humankind's laws
@emilyhopemeechem4183
02/20/2025 - 5:45 PMButterfly effect example:
Killing baby Adolf Hitler before World War 2
Then the result is to have ripple effects of increasing the population as the years go by towards the present day
Then we get to see and have access to lots of stuff that’s not there
@iCanHaAzNumber
02/20/2025 - 5:45 PM0:39 meta meme alert! Actively, and intentional memery.. i love it!!
@kylewatt9106
02/20/2025 - 5:45 PM"pretty insignificant on the scale of people" yet we are made up of atoms you're an idiot
@YujinNa-us1bj
02/20/2025 - 5:45 PMHow well can we predict the future?
The answer: 9:38
@mygreenlittleleaf
02/20/2025 - 5:45 PMHere's the REAL question, is it chaotic and random or is that just how it manifests to our perceptual limitations?
@eggstatus5824
02/20/2025 - 5:45 PMI don't believe in God. (This comment is not about debunking religious beliefs. Whatever you believe in, that is entirely your choice, and I do not care. I have removed bias from this comment, it only serves as a perspective to make a point. So please, do not get ultra sensitive and take this as an attack on your beliefs.)
But let's assume God DOES exist and this almighty being created the very universe we live in. Believers of God say, "God never rolls the dice". If you decide not to introduce true randomness, what do you do? You create a universe so incredibly complicated that it's almost completely incomprehensible to the feeble minds that try to understand it. Intricacies so slight that we can't comprehend how small they are. Said slight Intricacies bonding together in such large quantities that the number then becomes incomprehensibly large. Those large complexities bonding even further to form even larger incomprehensible complexities. The universe infinitely expanding as these complexities bond and dance with each other. Creating beautiful order and disorder. It may not be random, but maybe that's why the universe is so beautiful, so fun to learn about, so fun to play around with.
For the longest time, I've always wondered if we truly have free will, or if it's just an illusion. But now I've come to think, that maybe I've been thinking about it all wrong this entire time. Everything, everyone, we are all connected as one, a part of the universe itself. A part of a much bigger picture that we all take for granted.
There is a line in Ratatouille that really resonates with me. "Change is nature dad, the part that WE can influence, and it starts, when WE decide." Maybe us as individuals don't have true free will. But instead, we influence the whole universe itself. We are the universe, making decisions as a whole. Continuing to expand ourselves, progressing, creating more and more to learn about and utilize. It is the act of trying to understand ourselves, conform to a massive project that we WANT to finish, but will never find an end to. We as individuals can choose to ignore it, or find interest in it. Maybe that, is what free will REALLY is. Not a product of YOURself, but a product of OURself, and we can make whatever we want of it. :>
@MeyerKlein-mn5yi
02/20/2025 - 5:45 PMHow do they fail to predict the weather tomorrow yet predict global warming with chaos theory?
@aidenchrismas3854
02/20/2025 - 5:45 PMIf one “person” knew the position, trajectory, velocity, etc. of every particle and every photon and energy packet including the brain signals in every living creatures brains. Theoretically, we could know the exact future of everything to an infinite extent.
@lordjugarreton
02/20/2025 - 5:45 PMma🎯 Key points for quick navigation:
00:28 🦋 El efecto mariposa es un concepto cultural popular que representa cómo pequeñas decisiones pueden tener grandes consecuencias.
01:23 📜 La concepción de determinismo absoluto, como la teoría del demonio de Laplace, plantea que el futuro está predestinado si conocemos suficiente información.
04:11 🤯 El problema de los tres cuerpos desafía las teorías deterministas de Newton, mostrando limitaciones en sus ecuaciones.
06:10 🔍 Edward Lorenz descubre la sensibilidad a las condiciones iniciales, haciendo evidente el comportamiento caótico.
07:42 🌪️ Los sistemas caóticos son deterministas pero impredecibles debido a la precisión infinita requerida en sus condiciones iniciales.
09:08 🌌 Incluso sistemas tan estables como el solar demuestran comportamientos caóticos a largo plazo.
10:06 🌀 El atractor de Lorenz muestra una estructura subyacente hermosa en sistemas caóticos que se convierte en un punto de convergencia de distintos estados.
11:06 📈 Aunque no se puedan prever estados individuales, el comportamiento colectivo dentro de un sistema caótico revela patrones como el atractor de Lorenz.
Made with HARPA AIs
@MrSzoSs
02/20/2025 - 5:45 PMThe statistics say if you get married theres around 40% chance youll get divorced so naturally it seems like we’re likely to be in a chaos and order loop
@KiraLynnToyama-Mancao
02/20/2025 - 5:45 PMThis is interesting keep up with giving people your knowledge
@markvincentordiz
02/20/2025 - 5:45 PMIt is predictable. It is unpredictable because you lack the best instrument and ability to directly observe, record, get in to the infinite details.
@markhuru
02/20/2025 - 5:45 PMChaos is real not butterfly effect
@Sidiann
02/20/2025 - 5:45 PMSo then im curious, do you believe in free will?
@shatterhacked
02/20/2025 - 5:45 PM2:03 ah yes, far too insignificant. Small things can never change things on the large scale, right?
@rhyskillz4525
02/20/2025 - 5:45 PM📷
@chickswithgun
02/20/2025 - 5:45 PMJust play Life is strange game to understand Chaos theory/ Butteryfly effect
@Rayan-lv3iy
02/20/2025 - 5:45 PMchaos is a ladder.