Lecture 1: Introduction to Superposition

2014 ж. 17 Мау.
7 215 671 Рет қаралды

MIT 8.04 Quantum Physics I, Spring 2013
View the complete course: ocw.mit.edu/8-04S13
Instructor: Allan Adams
In this lecture, Prof. Adams discusses a series of thought experiments involving "box apparatus" to illustrate the concepts of uncertainty and superposition, which are central to quantum mechanics. The first ten minutes are devoted to course information.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

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  • I've been to 3 universities in the past 15 minutes: MIT, Harvard, and Stanford. You could say I'm something of a genius.

    @zayharper6577@zayharper65778 ай бұрын
    • Penius

      @BrandonSalas-us8mm@BrandonSalas-us8mm3 ай бұрын
    • I also feel like that lol

      @alexgg1950@alexgg19502 ай бұрын
    • That means you watch none of these lectures in their entirety.

      @jaynabp3661@jaynabp36612 ай бұрын
    • @@jaynabp3661 I can't remember where I said that I did dummy.

      @zayharper6577@zayharper65772 ай бұрын
    • @@zayharper6577 some things can be inferred even though not said explicitly

      @jaynabp3661@jaynabp36612 ай бұрын
  • Prof Adams is a great Lecturer! Very enthusiastic, very knowledgeable, with a sense of humor.

    @lecturesbywalterlewin.they9259@lecturesbywalterlewin.they92596 жыл бұрын
    • Lectures by Walter Lewin. They will make you ♥ Physics. Hi Dr. Lewin, do you recommend the courses taught by Prof Adam's or Prof Zeibach

      @fr0iler578@fr0iler5786 жыл бұрын
    • Hello professor! I am big fan of yours

      @fabulator2779@fabulator27796 жыл бұрын
    • Definitely! I wish every physics prof I had had been this good.

      @EconAtheist@EconAtheist5 жыл бұрын
    • @@fabulator2779 Walter Lewin is a physics superstar. I watch those lectures to be entertained as much as to learn something that I might have missed 30 years ago.

      @epistte@epistte5 жыл бұрын
    • ...even he draws poor lines while chalk on a blackboard. (Blackboards and chalk are substantial, essential.) Dear cherished Prof. Lewin, this very honest comment of yours tell me, that you belong to us, all of us, hungry for learning what's around. A personal note: I watched your lesson, in which you gave a grain of sand to a student. After that I took paper and pencil to calculate 'uncertainty'. The very first time I did it. It gave me the courage to calculate the range we have to control nuclear power plants - and to learn that this can be understood by almost everyone. Yes, I do believe - we can. Doubts are made for let us burn, as learners, as teachers, which is the same thing.

      @ankeunruh7364@ankeunruh73645 жыл бұрын
  • Class begins at 10:30.

    @ashimr@ashimr4 ай бұрын
    • Absolute legend thank you

      @blake.72503@blake.725033 ай бұрын
    • thank you god

      @baymaniac@baymaniac2 ай бұрын
    • Thank you ❤

      @jaelynn-rosejames9718@jaelynn-rosejames9718Ай бұрын
    • Legend

      @haumana420@haumana420Ай бұрын
    • sorry, i’m gonna be late. can you take notes?

      @efraimkent@efraimkentАй бұрын
  • This is an absolutely great professor. I wish I had professors like him.

    @PotatoGod69@PotatoGod69 Жыл бұрын
    • You want professors like him, you be smart enough to get into mit

      @agrajyadav2951@agrajyadav295111 ай бұрын
    • We have him now, don't we?

      @tidaimon2149@tidaimon21499 ай бұрын
    • @tidainon2149 yeah 😂

      @Fudge7@Fudge78 ай бұрын
    • Me too.

      @denisesoaresdasilva7358@denisesoaresdasilva73588 ай бұрын
    • ​@@tidaimon2149More or less for I don't live in the USA and having him only on KZhead is not enough😂

      @denisesoaresdasilva7358@denisesoaresdasilva73588 ай бұрын
  • This guy fucking loves what he knows, and he wants you to love it too, which is incredibly refreshing.

    @jaimemenapadilla@jaimemenapadilla8 жыл бұрын
    • +Jaime Mena So is a nice, refreshing glass of lemonade with just the right amount of ice cubes on a hot summer's day.

      @terrymadre9286@terrymadre92868 жыл бұрын
    • +boobboomagoo learning quantum mechanics while drinking lemonade sounds like a perfect way to spend a Summer's day.

      @YouShouldRepeatThat@YouShouldRepeatThat8 жыл бұрын
    • YouShouldRepeatThat i love you :)

      @terrymadre9286@terrymadre92868 жыл бұрын
    • +boobboomagoo I love you too kind stranger. :)

      @YouShouldRepeatThat@YouShouldRepeatThat8 жыл бұрын
    • o.o gem

      @115xXzombieXx115@115xXzombieXx1158 жыл бұрын
  • Getting that MIT education without life crushing loans

    @harshitchoudhary5613@harshitchoudhary56134 жыл бұрын
    • And without a degree.

      @dsaun777@dsaun7773 жыл бұрын
    • @MrComrade but that's true for both sides

      @SaurabhSingh-fe6lj@SaurabhSingh-fe6lj3 жыл бұрын
    • @AetherDivision this is inspiring, thank you! Good luck in future

      @geromep5383@geromep53833 жыл бұрын
    • @Electronification Firstly, it's a fucking joke. Secondly, that's a big fat no - the difference is that a degree demonstrates your ability to apply your learning. It indicates that you've been taught using an established and proven pedagogic method. It indicates that you have benefitted from peer review and peer learning. It means that you have been taught by academics who have also gone through the peer review process and have emerged in a competitive market as some of the best people to teach you. It requires you to produce assessed outputs in the form of papers, assignments, exams, all of which ensure your learning is embedded. It indicates that your learning has been structured in an effective way, building upon foundational knowledge. If you're trying to make a somewhat clumsy point about self-directed learning being as valuable as directed learning, then I agree with that, but don't make the ridiculous suggestion that there are not other tangible and intangible benefits delivered through formal education. It is right and important that learning is delivered to accepted standards, and that's what a degree demonstrates. Perhaps you are one of those people who "study" for 12+ hours a day by literally just reading and annotating books? That is not learning, that is memorisation. Your overly simplistic view shows me that you don't really have a clue about education, probably because you are lacking some yourself. Now, get back to Pornhub ;)

      @thert.hon.thelordnicholson7261@thert.hon.thelordnicholson72613 жыл бұрын
    • @Electronification I can’t tell if you’re trolling or not

      @yojodingy6334@yojodingy63343 жыл бұрын
  • Took a quantum mechanics course from a desi guru who happens to be among the toppers and I gave up thinking I'm not good enough..this guy made me go over 6 lectures in a week and still hungry to go over again....inspiration is the key to make passionate innovators or scientists or teachers...I wish I had them...good luck to all of you lucky ones who gets to be inspired in early days..inspire your little ones too...

    @shahedulislam735@shahedulislam735 Жыл бұрын
    • That's the problem I have with my quantum mech course. Solid professor --completely uninspired. The material is very interesting but he is so damn dry...

      @NuzzywtheWuzzy@NuzzywtheWuzzy Жыл бұрын
    • @SavannahSunshine49@SavannahSunshine496 ай бұрын
    • you're a victim because every university course I ever took all my profs were kind, compassionate, knowledgeable, supportive, and loving....

      @JackAndTheBeanstalkr@JackAndTheBeanstalkr16 күн бұрын
  • wow.... we need more professors like him. Most physics and math professors laugh at questions. Like "what are you talking about. That's just a bad question. STFU and let me move on" instead of "what do you mean by that so I can correct your misunderstanding that like 8 other people in the class probably also have" which is clearly how this guy teaches. In other words, he actually teaches.

    @tpstrat14@tpstrat147 ай бұрын
  • 32:56 "The miracle is not that electrons behave oddly. The miracle ist that when you take 10^27 electrons, they behave like cheese."

    @Majoen1998@Majoen19987 жыл бұрын
    • ​@@fartreview1739 Nice dude, your statement is exactly what I thought of your comment. A completely empty statement that has no meaning.

      @sebgamboa7628@sebgamboa76284 жыл бұрын
    • You just figured that out? He's an ass.

      @Joe11Blue@Joe11Blue4 жыл бұрын
    • 'm lookin for a Superposition at MIT. Anybody know some vacant ones?

      @goofycker@goofycker3 жыл бұрын
    • There might be some holes in that cheese, euh theory.

      @Elaba_@Elaba_3 жыл бұрын
    • The statement is full of meaning. It implies the existance of emergent phenomena, that is systems that are more than the sum of their parts. This is one theory of where conciouness comes from, one that is not incompatible with the idea of sentient AI life in the future. Emergent phenomena also explain phase changes and why macroscopic systems behave differently than microscopic systems. What are all y'all on about?

      @lah5598@lah55983 жыл бұрын
  • Heisenberg and Schrodinger are speeding down the highway when a state cop pulls them over. The cop walks up to the window and asks Heisenberg, "Do you know how fast you were going?" Heisenberg replies, "No, but I knew where I was." The cop says, "You were going over 90 miles per hour!" To which Heisenberg replies, "Fine. Now we're lost." Thinking this answer is a little strange, the cop decides to investigate the vehicle. He begins by opening the trunk. Shocked by what he finds, he shouts, "You have a dead cat in here!" Schrodinger answers, "Well I do now!"

    @jamiecfthedrummer@jamiecfthedrummer7 жыл бұрын
    • love this haha

      @yiluoli6890@yiluoli68907 жыл бұрын
    • You are sooooo funny I laughed until i stopped

      @GimmeSum@GimmeSum7 жыл бұрын
    • TwinRocketMedia - um... but there's no speed limit on the Autobahn, lol

      @sajateacher@sajateacher7 жыл бұрын
    • Rene Descartes goes into a sandwich bar and says, "I'll have a chicken bap please." The shop worker says, "I can't serve you that but you may have a turkey baguette." Rene Descartes says "Oh I think not." And disappears. With Best Wishes! Cheers - Mike.

      @sherlockholmeslives.1605@sherlockholmeslives.16057 жыл бұрын
    • You forgot to include Ohm in the backseat... Schrodinger and Heisenberg were arrested, Ohm resisted.

      @duartesilva6824@duartesilva68247 жыл бұрын
  • I was quite sucky at physics in high school, but I've always been really fascinated by QM, even though I never really got a full grasp of it. Now having found this video, I'm starting to get the basics and that honestly feels amazing! I've never seen such an enthusiastic and fun prof. as Prof. Adams & am really glad I have the opportunity to listen to him teach! :)

    @Oscalishious@Oscalishious Жыл бұрын
    • ¨I never really got a full grasp of it¨ Here are some quotes from the greatest Physicists of all time: Quantum mechanics makes absolutely no sense Roger Penrose If it is correct, it signifies the end of physics as a science Albert Einstein I think I can safely say that nobody understands quantum mechanics Richard Feynman If you are not completely confused by quantum mechanics, you do not understand it John Wheeler I do not like it, and I am sorry I ever had anything to do with it Erwin Schrödinger

      @serious_filip522@serious_filip522 Жыл бұрын
    • @@serious_filip522 Aww, that's actually really reassuring haha. Thanks for sharing, very sweet of u, I hope u have a nice day :)

      @Oscalishious@Oscalishious Жыл бұрын
    • ​@@serious_filip522yes thank you! ❤

      @SavannahSunshine49@SavannahSunshine496 ай бұрын
    • @@serious_filip522thank youu!❤

      @LexiNc8284@LexiNc82845 ай бұрын
    • Hey! Here is some 3D illustrations about the subject: kzhead.info/channel/PLkyBCj4JhHt-80ttR5a_fwtFO4SwDAFld.html&si=A9QYx-o3rRhTDvP8 Eugenes channel is one of My favourite ones! Btw, If someone smart could find a away to increase brain activity Via magnetic Fields, would it make us smarter or think faster? What about feelings? And If there's anyone good on chemistry, how about creating a drink that would increase endorfines to help us all 😅! What a lovely a idea, to feel great all The Time.

      @LoremLorem@LoremLorem4 ай бұрын
  • Prof Adams passion is what kept the students and audience glued

    @granand@granand Жыл бұрын
    • That and the Higgs particle.

      @TheDiamond2009@TheDiamond20099 ай бұрын
    • No. You think these students are your average high schooler? No. The best of the best teachers teaching the best of the best students.

      @AkitoLite@AkitoLite8 ай бұрын
    • What a boson! @@TheDiamond2009

      @danlock1@danlock15 ай бұрын
  • When he turns to the crowd and asks „Questions?“ Me: Yes, why am I here at 2am?

    @LoldemortII@LoldemortII3 жыл бұрын
    • Right?! Like why does KZhead recommend the most random things at 2am?!

      @NovaWarrior77@NovaWarrior773 жыл бұрын
    • Not KZhead but boredom brought you here 😄😅

      @ravijangrax@ravijangrax3 жыл бұрын
    • 6:30 am here xd

      @argentina.travel@argentina.travel3 жыл бұрын
    • omg same!!

      @sakkthisundaram7578@sakkthisundaram75783 жыл бұрын
    • Same here, staying up at 1:30am to watch this lecture!

      @raysonlogin@raysonlogin3 жыл бұрын
  • I'm almost as amazed at MIT's complex blackboard system than the quantum superposition of subatomic molecules.

    @mercster@mercster6 жыл бұрын
    • They have blackboard superposition.

      @OldRacket@OldRacket5 жыл бұрын
    • mercster molecules aren’t subatomic

      @jacobhatch655@jacobhatch6555 жыл бұрын
    • @@jacobhatch655 he meant particles I presume lol

      @yourlordandsaviouryeesusbe2998@yourlordandsaviouryeesusbe29984 жыл бұрын
    • mercster xvu

      @sulaimanalsalem@sulaimanalsalem4 жыл бұрын
    • It’s four blackboards layered on top of each other

      @imranq9241@imranq92413 жыл бұрын
  • The most nourishing bit of information in this lecture is at the very end. Our intuition is formed from experience in the macroscopic world, which is totally different from the microscopic quantum world. This explains our frustration with counter intuitive results when trying to understand quantum experiments, since our intuition is not adapted to the quantum domain. Its like learning a new language. Thank you MIT for sharing.

    @kkolxasram@kkolxasram Жыл бұрын
  • This is the type of professors we need to heal our academic traumas

    @farahfathy3116@farahfathy31168 ай бұрын
  • Damn these students are lucky to have such a passionate professor

    @firstnamelastname6926@firstnamelastname69265 жыл бұрын
    • And i hot one too!! 😍

      @SjarMenace@SjarMenace3 жыл бұрын
    • We also have him. So we are lucky too.

      @udoyxyz@udoyxyz3 жыл бұрын
    • they pay for that but MIT professor are amazing. Watch Eric Lander on DNA OMG so good.

      @frankchris07@frankchris072 жыл бұрын
    • No kidding...i loved profs like this back in my university days...direct, encouraging, simplified...i wonder where he is teaching now?

      @dirkscholten9995@dirkscholten99952 жыл бұрын
    • Bbbbygygbbb 35b 3b bbbbygygbbbb bb bbb3b3b gbg хн3нн3н33ъйнъ@@SjarMenace нbbbbg5gbbebbhbbbhyby3hb b7

      @milenabaycheva1627@milenabaycheva16272 жыл бұрын
  • he's so passionate about the topic. Really a great professor

    @jasonchiang251@jasonchiang2517 жыл бұрын
    • yes yes yes

      @acershund1@acershund15 жыл бұрын
    • absolutely

      @silasmaurer7835@silasmaurer78355 жыл бұрын
    • u can watch his ted talks, also great.

      @hongluzhang7771@hongluzhang77715 жыл бұрын
    • 11:10 All that is in the table bottle is coffee?. I personally am more passionate / nervous if I take all that. However, great teacher

      @alejmitra7483@alejmitra74834 жыл бұрын
    • @@hongluzhang7771 a mkdjkshjdffgg.;(&&, A cg hd😖😢😟cg kjfgjk zsxjfghjj sch A sad ( go 😭😟😢🍹⚾️🛕🏦🏦🏢🍻🍴♊️💝💓gf n

      @umojaharambee7015@umojaharambee70153 жыл бұрын
  • I just learned Dr. Adams was born in my same city (Bogotá, Colombia). What a pleasant surprise, professor :)

    @fabiorestrepo98@fabiorestrepo982 ай бұрын
  • I'm a 40 year old man, passionate about the understanding of how the universe works and when he said "except you're all wrong" i've got emotional for a moment because it was a kind of illumination giving me an instantaneous sense of awareness to the existence.

    @mttlsa686@mttlsa6864 ай бұрын
    • did you see a tunnel with a white light?

      @JackAndTheBeanstalkr@JackAndTheBeanstalkr16 күн бұрын
    • @@JackAndTheBeanstalkr not yet.

      @mttlsa686@mttlsa68615 күн бұрын
  • MIT, thank you for having courses such as "Quantum Physics" uploaded to KZhead for people to learn. As a person that has autism, it is much easier for me to learn in a relaxing environment where there are little to no distractions, and at the pace I want. Keep up the great work!

    @michaeldavis812@michaeldavis8128 жыл бұрын
    • It is a great thing that you are devoting yourself to such an interesting (yet somewhat difficult) topic, especially with autism which seems to hold most back. Even if this is a year old, I hope you get Quantum Mechanics or have a basic understanding of it.

      @controlaltdemomn9320@controlaltdemomn93206 жыл бұрын
    • awesome

      @abinashsatapathy8394@abinashsatapathy83946 жыл бұрын
    • Asperger Autism?

      @neloka4313@neloka43136 жыл бұрын
    • I totally agree I have aspergers and find this helps. Ecspecially with Professor Adams easygoing teaching style although I do have one addition id love to do to that experiment.

      @neon_necromunda@neon_necromunda6 жыл бұрын
    • Dude I have ADHD and I was thinking the EXACT same thing! Before KZhead came along my education was horribly sub-standard but through video based educational content I've managed to self-teach myself into a skilled VFX artist working in the film industry! Hooray for KZhead and the educators that choose to share their work! :)

      @Super-id7bq@Super-id7bq6 жыл бұрын
  • the content starts at 10:33.

    @Stone2home@Stone2home8 жыл бұрын
    • +Benjamin Stone now I wish I had read the comments earlier than 33 minutes into the video..

      @rabia1180@rabia11808 жыл бұрын
    • +Flowers osdfv LoL, that was exactly the time when I started reading the comments :D

      @TonyDaveYayo@TonyDaveYayo8 жыл бұрын
    • TonyDaveYayo hahaha we have the best luck

      @rabia1180@rabia11808 жыл бұрын
    • Flowers osdfv yeah, but I only watched it because I was bored anyway :D

      @TonyDaveYayo@TonyDaveYayo8 жыл бұрын
    • TonyDaveYayo haha same here tbh

      @rabia1180@rabia11808 жыл бұрын
  • I am so very grateful that i have stumbled across this channel. As a person who is only watching these videos for the curiosity that i have towards quantum physics, this has helped me understand the topic and it makes me feel that i am physically sat in the lecture room!. thank you

    @chickenliver66660@chickenliver666609 ай бұрын
    • you were there 50% 🤪

      @777philgood@777philgood9 ай бұрын
    • @@777philgood wdym

      @chickenliver66660@chickenliver666608 ай бұрын
    • ​@@chickenliver66660Quite possibly a joke made out of the lecture itself with 50% stuff. Like you were there, and at the same time, you weren't.

      @ayyewalkdaplank@ayyewalkdaplank7 ай бұрын
    • ohh right noow i get it tyty@@ayyewalkdaplank

      @chickenliver66660@chickenliver666607 ай бұрын
    • @@chickenliver66660 You're Welcome.

      @ayyewalkdaplank@ayyewalkdaplank7 ай бұрын
  • I don't know what the hell Prof. Adams is trying to teach me, but I'm here for it.

    @xle3blx@xle3blx8 ай бұрын
  • As an educator, what I enjoyed most in this presentation was the "buzz" of learning. From the passion and enthusiasm of the lecturer to the engagement of the students, this shows a really awesome lecture. Well done. Very well done.

    @BudFieldsPPTS@BudFieldsPPTS8 жыл бұрын
    • +Bud Fields (PPTS) I highly agree. I felt more engaged in the lecture because of that.

      @maggotdude667@maggotdude6678 жыл бұрын
    • +Bud Fields (PPTS) I know exactly what you talking about,students or human don't like the linear process,he is so damn non linear,this is real process of learning,organic,non linear,beauty

      @takashikashiwase3461@takashikashiwase34618 жыл бұрын
    • +Bud Fields (PPTS) His passion for the topic and teaching it is overflowing, that is certain.

      @mrobusto1010@mrobusto10108 жыл бұрын
  • I can't stress enough how much I love the fact that MIT is providing those courses online for free for anyone to watch. Who knew, that a 17 year old German law student like me could get his hands on quantum mechanics lectures of MIT ^^

    @gamerN77@gamerN777 жыл бұрын
    • Chitown 773 deep breaths buddy we know you're smart too

      @dragonkingmastaman@dragonkingmastaman6 жыл бұрын
    • tbh i dont think he was trying to say "look at me, im so smart" but rather like "yeah im just studying this *not so cool and hard thing* and now i get to watch this hyper cool and indeed complicated stuff, that's a cool opportunity regardless of my intelligence".

      @souleater5762@souleater57626 жыл бұрын
    • ur not woke unless you take PE

      @asmpoohbear4332@asmpoohbear43326 жыл бұрын
    • you mad nerd?

      @PhilthyPhilTheOriginal@PhilthyPhilTheOriginal6 жыл бұрын
    • Don't be an ass Jordan.

      @deathtotruthers1@deathtotruthers16 жыл бұрын
  • Dude im basically a house pet when it comes to academics but Dr.Adams' enthusiasm made me watch 3 hours so far. Thanks to MIT for making this available to us lower common denominators!

    @SV27@SV274 ай бұрын
  • MIT has the most chill and exciting professors. I’m so happy this is on the internet 😁

    @tmo314@tmo3145 ай бұрын
  • His passion for his job is adorable.

    @stinkybutt02able@stinkybutt02able7 жыл бұрын
  • It really strikes me that I've never really had a teacher that's this pumped up just before a lecture. What a great guy!

    @Remslem@Remslem5 жыл бұрын
    • I concur. This is what engagement looks like. Most professors approach their lectures with a self-requirement that they want to present the information to students in a clear & concise way. This guy wants to create the thrill of curiosity and discovery in his students.

      @gregoryjwellls@gregoryjwellls3 жыл бұрын
    • Feynman taught similarly. His lectures are naturally quite outdated along the fringes but the basic concepts remain the same and his enthusiasm is utterly infectious. I think they may be some of the lectures this prof was referring to.

      @jkholtgreve@jkholtgreve2 жыл бұрын
    • He's probably loaded on adderall and caffeine lol.

      @DimitriosChannel@DimitriosChannel2 жыл бұрын
  • so sad you don't do this anymore, you're so good at it. 10:50 the experiments are so unsettling you have to tell the class that you're not lying to them. I love it.

    @zachansen8293@zachansen82933 ай бұрын
  • My 10 yr old son and I just watched this entire thing.

    @dogmandan79@dogmandan798 ай бұрын
  • This is how a teacher should be. The content, even if rigorous, was still so engaging. I wish my professors were this passionate about physics.

    @helloimnisha@helloimnisha4 жыл бұрын
    • They behave like CHEESE!

      @resaledragon@resaledragon2 жыл бұрын
    • Believe me, the content presented in the lecture is not rigorous at all compared to other stuff in QM. However, HW assignments are most likely from hell.

      @Lmanyakaa@Lmanyakaa2 жыл бұрын
    • I'm sure by now they no longer teach anything but Racisms ,Nothing else matters You don't need that crappy education you need racisms. Your a Victim start acting the part damnit.

      @gatormcklusky5850@gatormcklusky58502 жыл бұрын
    • Riguroso y convincente xD

      @lukschs1@lukschs12 жыл бұрын
    • however, this content was not rigorous. especially by mit standards. the first lecture is always a softball so a wider audience can watch. either way, I am sure he remains engaging even when the content does become rigorous

      @atlasbailly5439@atlasbailly54392 жыл бұрын
  • conlusion : definition of superposition is "I don't know what's going on"

    @nid7819@nid78194 жыл бұрын
    • Which is a pretty frustrating definition when you're trying to figure out what's going on.

      @JohnDavidDunlap@JohnDavidDunlap2 жыл бұрын
    • What I like is how they act so smart but don’t have a clue how this could be.

      @mrlarrybobjr@mrlarrybobjr2 жыл бұрын
  • I want to find something in my life that I am as passionate about as this teacher is about Quantum Physics

    @Kornflayx89@Kornflayx899 ай бұрын
  • Prof Adams makes a difficult and ambiguous subject easy to understand. I watched several videos on this subject to no avail but this clearly is the way it should be explained. Thanks.

    @davidvella7690@davidvella7690 Жыл бұрын
  • I wish stuff like this was aired on public tv.

    @mescalinemonkey8183@mescalinemonkey81837 жыл бұрын
    • You and me both. I might support PBS with a few more dollars. We do a very poor job of supporting lifelong learning in the US and that needs to change if we are going to be a technology leader.

      @epistte@epistte5 жыл бұрын
    • Nah, most people are too dumb to understand this.

      @voldy3565@voldy35655 жыл бұрын
    • @David Roberts Nature and NOVA are some of their most popular broadcasts so I think that they could, but many people have given up on them because of constant reruns of 30-year-old programs.

      @epistte@epistte5 жыл бұрын
    • that’s free education at the college level america would ever do that

      @connormartin5053@connormartin50535 жыл бұрын
    • 99.9999999%+ don’t understand any of this

      @asdfghjkldfghjhgcgyuigfyui9792@asdfghjkldfghjhgcgyuigfyui97925 жыл бұрын
  • Gotta admit. I’m in bed watching stuff to try to dose off (sleepy but can’t sleep), and I figured this should do the trick. I ended up watching the whole lecture and now feel wide awake. More professors need his enthusiasm. I’ve never seen a classroom applaud following the conclusion of a lecture, but this man earned it.

    @Capt.SumTingWong@Capt.SumTingWong2 жыл бұрын
    • Same exact thing. Tried to bore myself to sleep. Ended up staying up watching the entire thing

      @yayadoesstuff3778@yayadoesstuff37782 жыл бұрын
    • Same here

      @ashrahman1123@ashrahman11232 жыл бұрын
    • Yes, I also ended up in a sleep superposition. Both tired and not tired, asleep and not asleep. I wonder if I watch this one night a week, for six months, If I fall asleep 50% of the time?

      @garethwillmore7105@garethwillmore71052 жыл бұрын
    • I personally WAS able to dose off. My wish, is that while sleeping, my brain will understand quantum mechanics in my subconscious, then I will be subconsciously super intelligent.

      @cybercastor6873@cybercastor68732 жыл бұрын
    • 😵‍💫 Fell asleep watching a Tesla 3-6-9 vortex video, woke up just as this ended. After having the WEIRDEST dream in decades, which I have to share: I was in college, & victim of pranksters in a dorm. I lost the pranks war & woke seeing that they had removed the tire from the left rear of my car. Not the rim, it was still there, on the car with the jack laying next to it 😳 🤔 Never fall asleep watching math videos!

      @OhAncientOne@OhAncientOne Жыл бұрын
  • At this point in my life I can't even sit through a movie and watch them in parts. I just sat through a 1 hr + university lecture on Quantum Physics, of all things and I am a Computer Science student.

    @vishaldeka5298@vishaldeka52985 ай бұрын
  • Thank you MIT!! ❤ Love from Hawaii. Lifelong learners around the world appreciate OCW!

    @astro_penguin_@astro_penguin_2 ай бұрын
  • it's crazy how excited I'm watching a frickin' MIT lecture

    @chadchad6531@chadchad65313 жыл бұрын
    • Hahaha your not the only one lol

      @nishtakasundass6669@nishtakasundass66693 жыл бұрын
    • Why youtube push this to me?

      @michaeldeng1981@michaeldeng19813 жыл бұрын
    • Intro takes 9:50

      @bell1095@bell10953 жыл бұрын
    • @@michaeldeng1981 KZhead pushed this to me as well and I'm glad they did.

      @sammyandoliver7522@sammyandoliver75222 жыл бұрын
    • Everyone be sure to update your résumés

      @mobetta2092@mobetta20922 жыл бұрын
  • What a great line - "the miracle is not that electrons behave oddly, the miracle is that when you take 10^27 electrons, they behave like cheese!" Awesome!

    @donsudduth@donsudduth10 жыл бұрын
    • What does "cheese" mean? I sometimes have a tendency to interpret phrases literally-I feel like this is one of those times-yet I can't imagine what the figurative meaning of "cheese" could be.

      @astro_penguin_@astro_penguin_2 ай бұрын
  • I knew instantly what experiment he was describing in the first part of the lecture and then he said silver atoms and confirmed it for me. The stern-gerlach experiment is one of the cooler ones I’ve ever studied.

    @crazyspace6792@crazyspace67928 ай бұрын
  • Awesome introduction to a course, especially a course in Quantum Mechanics. I'm sure this lecture will enlighten and motivate those students as they struggle to understand the complex mathematics and details of the course. They'll remember what it's all about.

    @johnstebbins6262@johnstebbins62628 ай бұрын
  • I went to a very well-known university and in 4 years I only had one professor who was as engaging and passionate about his subject as this guy. Kudos to MIT!

    @tdirgins@tdirgins2 жыл бұрын
    • What does passion have to do with "As far as we know" lecture ?

      @robertmccully2792@robertmccully27922 жыл бұрын
    • what r u doing now? or thinking to do?

      @arpityadav.832@arpityadav.8328 ай бұрын
  • Had me locked in the entire way. I'm taking away much more than just knowledge, but also how to share ideas in a way people will listen, and enjoy. Give that man a raise!

    @DanAtEXIT@DanAtEXIT2 жыл бұрын
    • Knowledge is the only thing you can possibly take away from this. It's all knowledge

      @vladv2291@vladv2291 Жыл бұрын
    • @@vladv2291 In this instance knowledge was learned through a joyous and attentive experience thanks to the way it was presented.

      @nameberry220@nameberry220 Жыл бұрын
  • I love how much passion and energy he has

    @icy_bird5540@icy_bird55404 ай бұрын
  • It's incredible to think that everyone in that room has now graduated and is incredibly accomplished in their own right. That's beautiful. I wonder where they all are...

    @TheSleepSteward@TheSleepSteward4 ай бұрын
  • My goodness. If I had a teacher like this guy in high school maybe I wouldve been so inspired to work hard and go to a great university. He did a phenomenal job, hard to believe this is all live almost.

    @Dom-zy1qy@Dom-zy1qy2 жыл бұрын
    • Teachers like this are unfortunately above most high schools budgets

      @darrellerrad3945@darrellerrad3945 Жыл бұрын
    • You can get great professors in big state schools and small unique private colleges. I promise there is more teachers like this than positions open there are good teachers to be found

      @alecmccay7548@alecmccay7548 Жыл бұрын
    • 😮 1:22 😮 1:23 😢 1:23 😮😮😮😮 2:11 😮 3:21 😅😢 3:22

      @tjweav1331@tjweav13318 ай бұрын
    • 4:05 😅

      @tjweav1331@tjweav13318 ай бұрын
    • 😅

      @tjweav1331@tjweav13318 ай бұрын
  • 9:40 is where the actual lecture starts, for those who want to skip through the part where he's going over logistics for the students in the actual class.

    @Marguereth@Marguereth9 жыл бұрын
  • I’ve always been fascinated by physics. This is my FIRST video ever in my intent to learn about quantum physics. And I LOVED this

    @TheSoundConnoisseur@TheSoundConnoisseur3 ай бұрын
  • wow... this guy is hands down the best teacher I've ever seen.

    @nolanwhitley1017@nolanwhitley1017 Жыл бұрын
  • Thank you MIT, I'm 14 and I'm really fascinated about this, although I may not understand some of it, thank you for making these lectures public for all to learn.

    @user-ik7jz6rk4u@user-ik7jz6rk4u4 жыл бұрын
    • 2 years later are you still fascinated by this?

      @kenzieusa3356@kenzieusa3356 Жыл бұрын
  • Skip to 10:29 to start the actual physics of the lecture

    @ProgrammingRules@ProgrammingRules7 жыл бұрын
    • Clouse THANK YOU

      @Clickle@Clickle4 жыл бұрын
    • The goat

      @theearthisaseriesoftubes3768@theearthisaseriesoftubes37684 жыл бұрын
    • Clouse thank you

      @site7274@site72743 жыл бұрын
  • This is awesome. Very good presentation. It's like someone showing you how a circle can be created by straight lines.

    @mattykotz7219@mattykotz7219 Жыл бұрын
  • This literally blew my mind. Adams is a great teacher.

    @jimday6244@jimday62446 ай бұрын
  • Allan Adams is a fantastic lecturer - he has a real gift for teaching. This is BY FAR the clearest presentation of quantum mechanics you will find on the internet. Wonderfully coherent - thanks MIT. (I took a QM course at the University of Illinois ~35 years ago. Unfortunately I did not appreciate the beauty and richness of this subject. Had I - I may have switched majors from Nuclear Engineering to Physics!)

    @wagsman9999@wagsman99999 жыл бұрын
    • I just graduated from nc state for nuclear engineering!

      @Just.A.T-Rex@Just.A.T-Rex2 жыл бұрын
  • The applause at the end truly shows how amazing of a professor Adams is. Thank you MIT OCW for allowing the rest of the world to experience a professor whose lectures cause students to applaud.

    @iamtackler@iamtackler5 жыл бұрын
  • This is a Boss Professor, his enthusiasm just makes you want to listen and learn.

    @benp3485@benp3485 Жыл бұрын
  • Wow this professor is brilliant. I feel privileged to have virtually "sat in" on this course for free.

    @UnchainedEruption@UnchainedEruption11 ай бұрын
  • MIT, thank you so much for releasing these material on the internet. I'm a brazillian chemistry student and we have a big lack of good material to study around here. We need to spend a giant amount of money for a good book, and theese video classes really help me to improve my knowledge and i'm certain that it helps a bounch of others students that can't get a good material to study so easily.

    @martineli15@martineli157 жыл бұрын
  • he's so passionate just great! I wish every teacher would be like this

    @ProgamerEU@ProgamerEU8 жыл бұрын
    • +ProgamerEU I he is actually bit twitchy ,this is real passion sometime(not always)

      @takashikashiwase3461@takashikashiwase34618 жыл бұрын
  • This presentation style contrasted to my state university experience where almost every chemistry course started with an adversarial rant about us all being a waste of the professor time is incredible to me. I would have paid 4x more to be taught by people who believed i loved learning, but was ignorant. Love of a subject is infectious to even mildly interested listeners.

    @pwnsl1707@pwnsl17078 ай бұрын
    • The professors simply told you the truth. Almost all of you were a waste of your professor's time. They hate teaching because they know that in twenty years of teaching they will teach exactly one student who will take over their jobs. That's a fact. If you didn't realize that the first day you sat in a science lecture hall, then you were guaranteed NOT the guy who would replace that professor twenty years down the road. ;-)

      @schmetterling4477@schmetterling44778 ай бұрын
    • @@schmetterling4477thank goodness it is only once every 20 years such a presumptuous egomaniac arises! Professor adams must not have received your “peer” memo. Probably because he has actual research backing up his genius

      @pwnsl1707@pwnsl17078 ай бұрын
  • Thanks to MIT for uploading these lectures. I understood at the beginning that basically it means that electrons have 2 binary properties

    @geoffreystuart2172@geoffreystuart2172 Жыл бұрын
  • Boy oh boy if I had a professor of this class back in my university times here in Finland. Now at the age of 36 I thought that I'm getting stupid and old engineer when I tried to wrap my head around quantum physics, but it seems that reading literature isn't just enough if you don't have great professors like Adams to guide you through the basic concept of something complete new. Thank you for these videos MIT!

    @SW-mg7et@SW-mg7et2 жыл бұрын
    • As a uni student of Finland i also can agree with this 100%.

      @eliashanba757@eliashanba757 Жыл бұрын
    • @@eliashanba757 Iloilo

      @smokykirby6290@smokykirby6290 Жыл бұрын
    • God bless Suomi!

      @smolboyi@smolboyi Жыл бұрын
    • ​@@eliashanba757 isn't finland an ideal nation to study abroad

      @syedamarmusa6512@syedamarmusa6512 Жыл бұрын
    • 39 year old physics major in Quantum now. 100% agree.

      @3v3pirat37@3v3pirat37 Жыл бұрын
  • The lecture starts at 9:42

    @elessar7777@elessar77777 жыл бұрын
    • thnks

      @ricardoespinoza5821@ricardoespinoza58217 жыл бұрын
    • Ur mind is a stubborn Darn it!

      @thestacker2122@thestacker21226 жыл бұрын
  • The enthusiasm of students with the questions is an indicative of the quality and theoretical bases of the conjunct of students present in the class.

    @bernardoabreu4910@bernardoabreu49109 ай бұрын
  • OMG! I have never seen such a passionate and amazing teacher. I had a constant smile throughout and some good laughs during the lecture. Professor Allan Adams, you rock. Every student deserves a teacher like you. That's how to create curiosity and thrill for the subject among students.

    @anshulgupta9754@anshulgupta975427 күн бұрын
  • 26:50 When he said "This should hurt. This should feel wrong. But it's a property of the real world and our job is gonna be to deal with it." I really felt that.

    @joelwilliamson3322@joelwilliamson33222 жыл бұрын
  • Just finished watching this lecture and it has confirmed once again that I made the correct choice going into medicine. Professor Adams is excellent.

    @jasonlizotte4007@jasonlizotte40072 жыл бұрын
    • I remember watching his lectures during my third year of medicine, honestly it made me consider changing to physics, but then the later lectures came along with all the math and I’ve never been more sure about choosing medicine. But it has to be said what an amazing lecturer he is, and how amazing physics and creation is.

      @AM-bj7yo@AM-bj7yo2 жыл бұрын
    • @@AM-bj7yo what kind of math do medicine students learn?

      @davidmartineztorres8731@davidmartineztorres87312 жыл бұрын
    • @@davidmartineztorres8731 honestly very little, for most doctors we need to be able to calculate drug doses and concentrations, but nothing beyond basic algebra

      @AM-bj7yo@AM-bj7yo2 жыл бұрын
    • Do you know simon lizotte?

      @hyzerfl1p@hyzerfl1p2 жыл бұрын
    • lol I'm in medicine too. idk what I'm doing here.

      @alizain9638@alizain9638 Жыл бұрын
  • I opened this video as sort of a background noise but became completely engaged. Excellent teacher.

    @amyamy8873@amyamy88738 ай бұрын
  • I dropped out of high school, never graduated college, and was able to follow this lecture and understand the explanation. Such an interesting lecturer with a tremendous ability to translate complicated theory into lamens terms. I'm an idiot but I really appreciated his approach to explain something in terms that I could understand. I wish I was as smart as all the people he teaches.

    @benjohnson1190@benjohnson11903 ай бұрын
  • When I was an engineering student not once did we applaud a lecturer like that, but we never got such a clear and engaging presentation either.

    @nicksundby@nicksundby3 жыл бұрын
  • Allan Adams is a great professor. As a business student w no interest in physics, i am chocked to find myself passionately watching this video. The way in which he engages students is indeed a talent.

    @kroijfruihgtrghruib@kroijfruihgtrghruib5 жыл бұрын
  • It takes a great teacher like this for to learn that this topic is not for me. Thank you!

    @ScottPalangi@ScottPalangi19 күн бұрын
  • A few professors in India has the same level of enthusiasm and potential to deliver the knowledge to their students. The rest are busy in destroying the potential of millions of students. Education is a money game in India. Respect for MIT and such professors in India who are giving their best efforts.

    @arindambharali531@arindambharali53127 күн бұрын
  • Holy Shit!! Season 4 is finally out!!! I've honestly been waiting for 5 years for this lecture series. Bah I think I need to go back and watch all the previous Seasons to familiarise myself with the plot again. Thanks MIT!

    @MutuallyReclusive@MutuallyReclusive9 жыл бұрын
  • I do wish my Quantum Mechanics lectures had been like this. Its a blast learning all over again but with the added enthusiasm.

    @TomboBrewster@TomboBrewster2 жыл бұрын
  • Love From India ❤ You are great lecturer ❤

    @gamerclutchview@gamerclutchviewАй бұрын
  • Tank you for uploading this classes for all of us students around the world. Professor Adam is full of energy and pasion, is so inspiring.

    @alexgg1950@alexgg19502 ай бұрын
  • This is how teachers should teach. Make education fun. I’m no physics major but this professor makes it interesting to want to learn it.

    @swolegrind1947@swolegrind19472 жыл бұрын
  • Man I wish I had teachers this passionate about physics and teaching like Prof. Adams.

    @jaji666@jaji6662 жыл бұрын
  • This is my favorite first lecture to any class.

    @berkeleycodingacademy7015@berkeleycodingacademy7015 Жыл бұрын
  • I watched this lecture and was like “hey I might understand this” then I watched the second lecture and realized I’m not a physics major.

    @braeling3677@braeling36774 жыл бұрын
    • watch this lecture three times spaced three days apart, taking simple notes the second time, and bullet notes the third time. Then, review and move to the next. You'll be amazed if you put some thought into insights you'll get about learning this stuff.

      @nothankyou5524@nothankyou55244 жыл бұрын
    • No Thankyou Too bad university almost never gives you that much time to learn things

      @jaylintaylor5287@jaylintaylor52874 жыл бұрын
    • trying learning the prerequisites before jumping straight into this unit.

      @maazahmedpoke@maazahmedpoke4 жыл бұрын
    • Dude just read Griffiths or something lol. It's super readable.. like Harry Potter but more useful. It's seriously not that hard

      @gameofpwns1165@gameofpwns11653 жыл бұрын
    • @@steamhunter7504 Meant his QM text lol, but his E&M text is choice too. Guess anything new takes a decent amount of time and effort to absorb, fair enough

      @gameofpwns1165@gameofpwns11653 жыл бұрын
  • This is really awesome what MIT is doing, especially for those who already completed school or who are currently working full time jobs with an interest in studying QM. Thank you so much! :D

    @darrenramsingh9334@darrenramsingh93346 жыл бұрын
  • Determinism is reliable on the condition that the quality we rely on is known. This is why it is still a reliable approach to the world as we know it-*as we know it.* It does however invalidate absolute inviolability of determinism under specific conditions.

    @atlasravenwood6467@atlasravenwood64672 ай бұрын
  • 00:00 🎓 El profesor Allan Adams da la bienvenida al curso de mecánica cuántica (804) de MIT para la primavera de 2013, destacando su entusiasmo por la materia y presentando al equipo docente. 02:51 🧠 El objetivo del curso es que los estudiantes no solo realicen cálculos en mecánica cuántica, sino que desarrollen intuición para entender los fenómenos cuánticos. 05:42 📚 Se recomiendan varios libros de texto para el curso, destacando la importancia de elegir según el enfoque (mecánica de ondas o mecánica matricial) y las preferencias del estudiante. 08:05 ⏰ La política de tardanzas es estricta, pero se permitirá la eliminación de la nota más baja en las tareas para contrarrestar eventos imprevistos. 13:56 📦 Descripción de cajas (color y dureza) para medir propiedades de electrones, destacando la repetibilidad de las mediciones y su independencia. 19:55 🔗 La correlación entre el color y la dureza de los electrones se demuestra mediante experimentos, mostrando que conocer una propiedad no predice la otra. 21:46 🤔 La expectativa natural sería que todos los electrones blancos salieran blancos del segundo cuadro, pero sorprendentemente, el 50% sale negro. 23:11 🧐 Aunque un electrón se mide como blanco inicialmente, al medirlo nuevamente, puede salir blanco o negro, indicando una naturaleza no determinista y aleatoria. 25:05 🎲 Existe una intrínseca imprevisibilidad y no determinismo en los procesos físicos observados en el laboratorio, revelando que la probabilidad es forzada por las observaciones. 27:54 📦 Es imposible construir una caja que indique tanto el color como la dureza de un electrón simultáneamente debido al principio de incertidumbre. 30:21 🔄 La propiedad fundamental del mundo cuántico es que ciertas propiedades observables son inherentemente incompatibles entre sí, como la dureza y el color simultáneos. 33:41 🔄 Presentación de un dispositivo experimental más complejo con cajas de dureza y espejos, y la introducción de un principio de invariancia: cambiar la dirección no altera las propiedades medidas. 37:28 🤔 Predicción de resultados en un experimento donde electrones blancos se envían a través de un dispositivo con espejos y cajas de dureza, resultando en una probabilidad del 50% para la dureza al final. 43:11 📊 La clase aborda una serie de experimentos relacionados con la superposición cuántica. 45:31 🎓 Experimento: Electrones duros se envían a una caja de dureza y luego a una caja de color, prediciendo una salida 50-50. 46:56 🔍 Experimento complicado: Electrones blancos se envían a una caja de dureza, con una salida sorprendente del 100% blanco y 0% negro. 57:10 🧐 Se introduce una barrera móvil en el camino suave del experimento anterior, reduciendo la salida en un 50%, pero sorprendentemente, no todos los electrones salen blancos, sino 50-50. 01:04:18 🤔 En experimentos cuánticos más complejos, como con cajas de colores en lugar de espejos, los resultados pueden variar, y es crucial abordarlos caso por caso. 01:05:44 🌈 Una "caja de color" en la mecánica cuántica no se verifica directamente, pero su propiedad de ser "blanca" se deduce al observar el electrón que sale de ella. 01:06:14 🇫🇷 Experimentos similares han sido realizados por Alain Aspect, un físico francés, demostrando que la presencia del experimentador no afecta los resultados. 01:06:43 🤯 Al analizar un electrón en una superposición de caminos, surge la pregunta de qué ruta tomó, y ninguna opción (duro, suave, ambos, ninguno) parece adecuada. 01:10:36 🤔 La superposición cuántica plantea un dilema: los electrones no siguen las categorías clásicas de camino duro o suave, ambos o ninguno, desafiando la intuición clásica. 01:11:34 🔄 La superposición cuántica sugiere que los electrones adoptan un modo de ser único y no convencional, llevando a la necesidad de un nuevo lenguaje, la mecánica cuántica. 01:13:28 🔄 La superposición implica que un electrón no es ni duro ni suave, sino una combinación superpuesta de ambas, desafiando la idea de una propiedad definida antes de medir.

    @Rip_Carminatti@Rip_Carminatti2 ай бұрын
  • Thank you for making this available! It's a fascinating topic, and while I'm an engineer I definitely approach QM from a philosophical perspective. I love the energy that Professor Adams conveys during the lecture.

    @vinny6935@vinny69355 жыл бұрын
  • Prof. Allan, stumbled on his video lectures. Looking to test my capacity. His lectures are smooth, easy to understand. Then found open courseware. Prof. Allen's teaching is a diverse style which is needed much. Thank you for dedication to reach many that want to learn.

    @bonniejocobb6017@bonniejocobb60175 жыл бұрын
  • I watch these videos sometimes just to see what the professor is like. I'm trying to get my undergrad degree in a less than stellar school where one of the most difficult things is simply dealing with the professors. These videos help me keep working hard to get into grad school elsewhere without feeling like I'm going to be trapped with awful professors for the rest of my life

    @Jeff-gr1on@Jeff-gr1on6 ай бұрын
  • This professor is incredible. I am pr:eparing for taking quantum in the future and this class eased some of my fears. I am sure it won't be trivial, but if my prof is half the teacher you are I should be fine

    @borristhebrave7496@borristhebrave7496 Жыл бұрын
  • What a professor... i wish i had a professor like this that enjoys his job... great video.. need more

    @richardpoplis6777@richardpoplis67773 жыл бұрын
  • I love this guy! Teachers like this inspire me to be a life-long learner.

    @melissacairns217@melissacairns2175 жыл бұрын
  • Hi. I just wanted to extend a sincere thank you, an expression of pure gratitude, for your contribution to the spread of free and available knowledge for all people.

    @ImUpsetThatYouStoleMyUsername@ImUpsetThatYouStoleMyUsername7 ай бұрын
  • Allen you are a wonderful communicator/teacher, I always get a kick out of a persons enthusiasm, you are a joy to listen to.

    @aurlll@aurlll8 жыл бұрын
  • Thanks to everyone of you guys/ girls who helped make this happen I can just imagine the amount of people that you have helped by making these videos free

    @williamknifeman69@williamknifeman692 жыл бұрын
  • I don't know about you, but this lecture was like a movie to me. A movie that takes you along a drama and teaches you a lesson you didn't know before. The end was such a confusing and embarrassing poetry, but beautiful at the same time. That's reality.

    @guisantanna8330@guisantanna83302 ай бұрын
  • Hi sir .this is me Naveed khan from pakistan and really i learn much things from your lecture .and I have only one sentence for you which is { I LOVE YOUR WAY OF TEACHING 😍🥰}

    @user-sc7vj9pt3q@user-sc7vj9pt3q2 ай бұрын
  • this guy is the kind of professor every campus needs, a true man of education and enthusiasm kissass or not. thanks man, professor.

    @astronau7_lone574@astronau7_lone5745 жыл бұрын
  • I’m stuck on this wave of high quality math lectures from high quality learning institutions. I just wish I wasn’t finding them at 11:30pm.

    @fromanDg@fromanDg4 жыл бұрын
    • Almost 3 am

      @conniecendon4740@conniecendon47404 жыл бұрын
    • I’m here at 6:47am

      @zshorts4849@zshorts48494 жыл бұрын
    • You made me realize to check the time -- it's 5:05 AM.

      @pearidge2936@pearidge29363 жыл бұрын
    • 😂😂😂 exactly same time

      @jayruane3898@jayruane38983 жыл бұрын
    • Try finding them at 3AM. Fascinating! I'm glad I did.

      @sammyandoliver7522@sammyandoliver75222 жыл бұрын
KZhead