I want to believe that in another universe, an alternate branch of time where the musical science wave function collapsed just slightly differently, THIS is what's playing on Broadway and winning Tony awards
Perhaps consciousness creates simulations at will to do the computations and see which realities survive (consistency checks). Keep dreaming about these wonderful universes. The probability that we end up in such an awesome universe is dependent on it. I have a theory that we shouldn't waste time asking questions like "Is Warp Drive possible," and just assume it is. Because we will probably end up creating it if we do, but if we don't, we'll never find out. Someday, there will be Science musicals on broadway. You'll see.
It's ironic but he came up with the mathematics which underpin all of modern physics and almost nobody has ever heard of him. Emmy Noether is the same, her symmetries form the backbone for all modern physics yet and almost no-one outside of physics has ever heard of her.
+woodfur00 in one of Hank Green's videos, he requested that his fans (and the rest of youtube) put a plus sign below a comment they thought added to the conversation to trick the algorithm and put thoughtful and productive comments at the top of the comments section.
Purely because of this song, I impressed one of my favorite professors (who I hadn't had a class with yet, but had chatted with several times because he is cool and gets very animated talking about subjects he finds interesting) a few years ago. He mentioned his son, Rowan, and I asked if he was named for the tree. My prof answered, no, he's named after William Rowan Hamilton. I then said something about quaternians or i j k, and he was quite shocked that I knew who he was talking about. I then showed him this video.
@@warriorscholar41 He liked it! I also showed him a couple others, including the Puffed Up Cores one, cause I surprised my theatre director by knowing the tune to the song it's based on, which she didn't think was the kind of song I'd listen to, and when I told her why, she said that he'd probably like the song and I should show it to him. And he did.
I plan to create a video about one of the mot exciting goalkeeping prospects, Andriy Lunin. I will make a parody song based on Alexander Hamilton song.
Every time I write down a Hamiltonian or see a Hamiltonian in any paper I automatically start singing "my name is William Rowan Hamilton, and no one uses my quaternions, but just you wait..." :)) this happens several times a day lol. Great job. I LOVE this parody.
About 2017 I learned about Hamiltonian mechanics in university. At that time I was totally obsessed with Hamilton's life and his way of thinking due to this song. For an exercise-sheet I solved a rotational geometric problem using quaternions instead of using a spherical coordinate system. The tutor added a little smilie to my solution. ^-^ It may not have been much; but it was honest work.
I study physics and often hear this for motivation while studying, and when I first heard it, I did not understand the line "Your energy function generates the flow of time", and now after 2 years it is so natural to me, that I don't even think about it. Great!
Woooooo it's out! Thanks for inviting me to sing in this, I had a real blast and it's come out so so well. Would love to sing with y'all more in the future! P.S. Love the Airy disk reference ;)
Adraria8 I mean, you've given me a vector, not a scalar, so unless you want me to calculate the magnitude of the vector and take that as your answer, which would be about 28.11 times, then there ya go
@@sehfisch2350 The multiplication rules for quaternions are as follows: [1a] i * j = k [1b] j * i = -k [2a] j * k = i [2b] k * j = -i [3a] k * i = j [3b] i * k = -j [4] i * i = j * j = k * k = -1 [5] i * j * k = -1 Explanation for rule [5]: You can use brackets to make it clearer. i * j * k is (i * j) *k or i * (j * k) (both is allowed since multiplication of quaternions is associative) [rule used to go to the next step] Case 1: (i * j) *k [1a] = k * k [4] = -1 Case 2: i * (j * k) [2a] = i * i [4] = -1
@acapellascience I have listened to this 744 times in the last 2weeks. this song has been my anthem every morning when I wake up, even when I'm studying.
I love Veritasium part, it's in a calm but engaging pace that had me gained to watch the whole video. Plus the sounds on the intro prepares the ground for what's to come.
I go to Trinity College and there's a Hamilton building. I initially thought there would be a link between that and the musical. Watching this has made me less ashamed of that thought :)
Hi! I love this song, and I wanted to tell you something great that just happened. I listen to music while working on things, because it helps me concentrate, so I had a playlist going while working on a mathematical model, and I was on this song while nearly getting it to work, and sang along while writing the last couple lines of code I needed, and the song got to a big part just as I got it to work!
Thank you. After teaching voting theory and watching parts of the Hamilton Musical for a history backdrop for the Hamilton Method, my students really enjoyed this. Hamilton paths and circuits now have a cool video associated with the topic.
wow your video quality went through the roof with this video... New camera? or better color grading? or both? Def amazing though keep it up.I hope with this collaboration you'll finally get the attention you deserve!
acapellascience That must be recent. Do you know what camera he got? He had me film a bunch of his talk shows with a Canon T2i about a year back because it was "high quality", but the shots in this look sharper than anything my camera can put out.
You really should do one of these on Newton, simply because he started it all. Sure it's not cutting edge anymore, jeez it's not even an edge anymore, but everyone who has done high school physics will get it and share it!
I really love your work! 🎶 You literally are my Nr. 1 artist on Spotify (Wrapped)… That’s why I‘m really sad that some really great Songs like this treasure here are missing - please upload them, can‘t wait to listen to it over and over again 💖
Also one of my math teachers named his son Rowan after William Rowan Hamilton and when he mentioned that to me I surprised him by knowing who that was, purely because of this song.
Absolutely worth the wait. I was afraid you had run out of steam, it had been so long, and was sad because Defining Gravity and Arrow of Time were pretty awesome, and I really wanted to see more. So glad I was wrong. And it was particularly a great one for me because I have just recently started exploring Hamiltons. Thanks for the great production.
I can't get tired of this song! It's much more interesting than the original. Politics is for the present (=Alexander Hamilton), but an equation is for eternity (=William Rowan Hamilton).
Amazing! Always love you videos, in love with Hamilton already, lots of great people in this one singing but Hank as Schrödinger was especially awesome
at the end of the video they have people singing: "Pardon me, are you schrodinger, sir?" "That depends on who's looking" What is that from? I want to hear it? Or are they just continuing the concept, and there is no additional?
The whole song is amazing, the lyrics are clever and the arrangement is impeccable, but can we specifically appreciate the syncopation at 2:53? That line feels just slightly more swung than in the original, and it's chills every time.
“Ijk=-1, where i^2 = -1, and j^2 = -1, and k^2=-1, which = ijk” has beaten “pegasi 51b planet discovered” to be the most mind blowing thing he made rhyme
Coming back in 2020 (because it's always worth it to come back to this song) and thinking: "Everybody recorded from their own room? Wow, scientists are really ahead of their time."
I was literally reading the inspiring story of Hamilton's discovery of quaternions on the Brougham Bridge about half an hour before this video came out. Another epic video, Tim, you beautiful man. Keep 'em happening.
I have to credit the "Horrible Science" series for my first exposure to the anecdote, at like age 10. Didn't think I'd ever make a song about it though!
Dude, the biography genre was great! You had asked on FB recently if we learned from your science ditties or were merely entertained. In this case, I learned.... and I think the biography makes is a tad easier to create a narrative plot to the song than does, say, explaining a whole field or addition/revolution in a field in a song. And there are so, so many unsung, interesting heroes of various sciences to be canonized (in both senses... get it?). Y'all could give Sewall Wright of evolutionary biology a good tribute. His fitness surfaces have been centrally important in the development of evolutionary theory in 20th century variously misunderstood and visually good for the video-ness of your work.
I want to believe that in another universe, an alternate branch of time where the musical science wave function collapsed just slightly differently, THIS is what's playing on Broadway and winning Tony awards
Gimme 5 years.
1 year down, 4 to go. Can't wait!
iT'S BEEN A YEAR I'M STILL WAITING
2 years down now
Perhaps consciousness creates simulations at will to do the computations and see which realities survive (consistency checks).
Keep dreaming about these wonderful universes. The probability that we end up in such an awesome universe is dependent on it.
I have a theory that we shouldn't waste time asking questions like "Is Warp Drive possible," and just assume it is. Because we will probably end up creating it if we do, but if we don't, we'll never find out.
Someday, there will be Science musicals on broadway. You'll see.
I love how he calls William Rowan Hamilton "one of the unsung heroes of modern physics" right after singing a song about him.
Well he was unsung before this song.
I guess that was why he wanted to sing about him.
hahahahahaa
good one
It's ironic but he came up with the mathematics which underpin all of modern physics and almost nobody has ever heard of him. Emmy Noether is the same, her symmetries form the backbone for all modern physics yet and almost no-one outside of physics has ever heard of her.
Wait a second woah.. Is there going to be a sequel video that starts with "Pardon me, are you Schrodinger, Sir" ???? Is that happening???
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Ugh! Why is everyone commenting plus signs? Follow-up question: When will they stop?
+woodfur00 in one of Hank Green's videos, he requested that his fans (and the rest of youtube) put a plus sign below a comment they thought added to the conversation to trick the algorithm and put thoughtful and productive comments at the top of the comments section.
Purely because of this song, I impressed one of my favorite professors (who I hadn't had a class with yet, but had chatted with several times because he is cool and gets very animated talking about subjects he finds interesting) a few years ago. He mentioned his son, Rowan, and I asked if he was named for the tree. My prof answered, no, he's named after William Rowan Hamilton. I then said something about quaternians or i j k, and he was quite shocked that I knew who he was talking about. I then showed him this video.
I know this is a necropost, but how did he respond to the video?
@@warriorscholar41 He liked it! I also showed him a couple others, including the Puffed Up Cores one, cause I surprised my theatre director by knowing the tune to the song it's based on, which she didn't think was the kind of song I'd listen to, and when I told her why, she said that he'd probably like the song and I should show it to him. And he did.
I just can't get over the fact that Hank Green was Erwin Schroedinger. That literally made my day.
XD Same!
HE WHAT
Kaladinar Me too!
Tim's roommate Tom Zalatnai is Will Wordsworth.
Who the eff is Hank?
I love how much Hank is into it.
I've been giggling about this for weeks, he's SO INTO IT
I kept laughing while editing.
where did he get the schrödinglasses?!
The cupboard under the stairs, 4 Privet Drive, from the looks of things!
Schrödinglasses: Collapsing your local wavefunction since 1887.
This. Is the best. Hamilton. Adaptation. I've ever seen.
I just noticed somebody made a parody on this about another Hamilton. Never heard of Alexander Hamilton though.
Eric Vilas O
I plan to create a video about one of the mot exciting goalkeeping prospects, Andriy Lunin. I will make a parody song based on Alexander Hamilton song.
Every time I write down a Hamiltonian or see a Hamiltonian in any paper I automatically start singing "my name is William Rowan Hamilton, and no one uses my quaternions, but just you wait..." :)) this happens several times a day lol. Great job. I LOVE this parody.
This is the greatest thing I've ever heard. Has Lin's wife heard it yet? She's an engineer. She'd flip over this.
YES ٩(◕‿◕｡)۶
I love Hank as Schrödinger he’s so into it
What a wonderful world we live in that stuff like this can exist.
Indeed!
My thoughts exactly.
Look around look around at how lucky we are to be around right now
About 2017 I learned about Hamiltonian mechanics in university. At that time I was totally obsessed with Hamilton's life and his way of thinking due to this song. For an exercise-sheet I solved a rotational geometric problem using quaternions instead of using a spherical coordinate system. The tutor added a little smilie to my solution. ^-^ It may not have been much; but it was honest work.
I study physics and often hear this for motivation while studying, and when I first heard it, I did not understand the line "Your energy function generates the flow of time", and now after 2 years it is so natural to me, that I don't even think about it. Great!
Woooooo it's out! Thanks for inviting me to sing in this, I had a real blast and it's come out so so well. Would love to sing with y'all more in the future!
P.S. Love the Airy disk reference ;)
Excellent t-shirt choice!
Simon, I loved your voice !!!
Simon, you need more singing videos!
Loved the cameo(?), though it did make me slightly miss your choral days in the vlog
@@LockyDoesScience Especially with Tim.
"...Shrödinger, sir..."
...you did the whole damn thing, didn't you?
@Michael Darrow ooooooooooo
@Michael Darrow Oh, please, do not forget Gödel.
i aint a science person but this came down on my recommendation playlist and its so good that i keep listening to it lol
I don't even know how many times I've watched this already, but it must be in the double digits
Christian Rodriguez I've watched it 7+9i+2j+19k times
Adraria8 I mean, you've given me a vector, not a scalar, so unless you want me to calculate the magnitude of the vector and take that as your answer, which would be about 28.11 times, then there ya go
Christian Rodriguez No, in my universe, counting has 4 dimensions
Adraria8 Goddamn...
triple
I literally can't stop chuckling at how awesome this is. From one physics nerd to many others, great job!
For those wondering why "i^2=j^2=k^2=ijk=-1" doesn't seem to work mathematically, try throwing away multiplicative commutativity and try again.
Specifically, ij and ji represent different values; they're k and -k respectively.
Anti-commutativity FTW!
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i still dont get it can you explain more?
@@sehfisch2350 The multiplication rules for quaternions are as follows:
[1a] i * j = k
[1b] j * i = -k
[2a] j * k = i
[2b] k * j = -i
[3a] k * i = j
[3b] i * k = -j
[4] i * i = j * j = k * k = -1
[5] i * j * k = -1
Explanation for rule [5]:
You can use brackets to make it clearer.
i * j * k is (i * j) *k or i * (j * k) (both is allowed since multiplication of quaternions is associative)
[rule used to go to the next step]
Case 1:
(i * j) *k [1a]
= k * k [4]
= -1
Case 2:
i * (j * k) [2a]
= i * i [4]
= -1
I want the actual full musical
Came from David Tong' s classical lecture notes...Did not disappoint....better late than never....
THAT WAS GLORIOUS
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We're currently learning Hamiltonian Mechanics in Uni. Now I finally understand some of the lines in this awesome parody!
The point is, if your last name is Hamilton, you will not be remembered well in history.
There's a racer too, isn't there?
@@green0563 Lewis C. D. Hamilton, indeed.
Sir Lewis Hamilton
103 race wins
103 pole positions
185+ podiums
7 world championships
Yes dude!
Fantastic work!
You just made my life! As a mega fan of Hamilton and a science nerd I just exploded.
Has Lin-Manuel Miranda seen this??? This is amazing! :D
Not to our knowledge, so if you wanna bug him about it, please do! :)
This one is so educational and fun. I love seeing your family members and friends. Everyone in here is so talented.
I can't wait to see this team's version of «The bridge where it happens».
@acapellascience I have listened to this 744 times in the last 2weeks. this song has been my anthem every morning when I wake up, even when I'm studying.
It's Veritasium! That's so cool Tim.
i honestly would have never recognized him by voice.
I love Veritasium part, it's in a calm but engaging pace that had me gained to watch the whole video. Plus the sounds on the intro prepares the ground for what's to come.
I go to Trinity College and there's a Hamilton building. I initially thought there would be a link between that and the musical. Watching this has made me less ashamed of that thought :)
Finally. THIS is the Hamilton I've been waiting for! Seriously, I wondered if anyone else would think to do this.
David Tong brought me here!! And this is the best thing I have seen in a long time
Oh my god this was the best. As a physicist and huge Hamilton fan I'm dying. Plus a bunch of my favorite youtuber are featured. Kudos.
Hi! I love this song, and I wanted to tell you something great that just happened. I listen to music while working on things, because it helps me concentrate, so I had a playlist going while working on a mathematical model, and I was on this song while nearly getting it to work, and sang along while writing the last couple lines of code I needed, and the song got to a big part just as I got it to work!
SURPRISE HANK! I didn't expect to find him in here!
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This is fantastic! I am glad you made this parody. I was actually looking for it :)
Thank you. After teaching voting theory and watching parts of the Hamilton Musical for a history backdrop for the Hamilton Method, my students really enjoyed this. Hamilton paths and circuits now have a cool video associated with the topic.
I can't believe I am in an acapella group and have been watching science UA-cam for years and only now found this channel
wow your video quality went through the roof with this video... New camera? or better color grading? or both? Def amazing though keep it up.I hope with this collaboration you'll finally get the attention you deserve!
forreal im curious too
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+tomzalatnai has a much better camera than I. #UnderfundedProfessionalUA-camr #GoodFriendsTho
acapellascience That must be recent. Do you know what camera he got? He had me film a bunch of his talk shows with a Canon T2i about a year back because it was "high quality", but the shots in this look sharper than anything my camera can put out.
+Ablumz Canon EOS 6D
Aaah your acapella opening chord progression of Aaron Burr, Sir at the end is such a tease!!
Omg this was beautiful. I'm obsessed with Hamilton, and now I'm learning about another Hamilton. Great job all of you!
I was so delighted to see Hank Green in this. This is my new favorite genre of youtube
This video is perfect
I don't know if it is intentional but the guy doing the role of euler has one eye more open than the other which is very fitting
I think I totally understand Hamiltonian Math by now.
I = JK
Dude, you are supposed to only make sm64 stuff.
This is one of the best quaternion jokes I've ever encountered.
Didn't expect to find you here. Nice.
@@evelynivy6124 I wholeheartedly agree.
Also, if (i^2)=(j^2)=(k^2)=ijk=-1, then i=j=k, so ijk=(i^3), so (i^3)=(i^2).
@@cardinalhamneggs5253
But
i^3 = -i
You really should do one of these on Newton, simply because he started it all. Sure it's not cutting edge anymore, jeez it's not even an edge anymore, but everyone who has done high school physics will get it and share it!
I can't believe how well the i^2=j^2=k^2=ijk=-1 revelation fits into the song, it's like the music was written for it!
The circular fringes behind are beautiful
HOW AM I DISCOVERING THIS ONLY NOW?! As a Hamilton fan from Ireland, hearing this about an Irish scientist warms the heart!
I really love your work! 🎶
You literally are my Nr. 1 artist on Spotify (Wrapped)…
That’s why I‘m really sad that some really great Songs like this treasure here are missing - please upload them, can‘t wait to listen to it over and over again 💖
He is not truly unsung, not anymore, now Mr Hamilton is the well sung hero of physics.
Also one of my math teachers named his son Rowan after William Rowan Hamilton and when he mentioned that to me I surprised him by knowing who that was, purely because of this song.
Absolutely worth the wait. I was afraid you had run out of steam, it had been so long, and was sad because Defining Gravity and Arrow of Time were pretty awesome, and I really wanted to see more. So glad I was wrong. And it was particularly a great one for me because I have just recently started exploring Hamiltons. Thanks for the great production.
I can't get tired of this song! It's much more interesting than the original. Politics is for the present (=Alexander Hamilton), but an equation is for eternity (=William Rowan Hamilton).
This was a great parody, no doubt about that, but can we all just take a second to appreciate the Lin-Manuel Miranda facial hair vibe in this one?
I am in love with this. Hope Lin sees it when he gets back!
My Hamilton loving heart. Holy crap. I love this. THANK YOU FOR MAKING THIS.
A reference to this video can be found in David Tong's notes!! Nice!
So cool that Airy had Airy functions projected on the wall behind him.
awww snap crew! epic performance my friends, epic.
Amazing! Always love you videos, in love with Hamilton already, lots of great people in this one singing but Hank as Schrödinger was especially awesome
Straight up banga right here Tim! Everybody did their thing for real for real homie!
at the end of the video they have people singing:
"Pardon me, are you schrodinger, sir?"
"That depends on who's looking"
What is that from? I want to hear it?
Or are they just continuing the concept, and there is no additional?
it's just a teaser for a song he didn't do.
So William Wordsworth told him if his words were worth it?
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Too perfect, right? :)
Juan Zurita Wordsworth told him his words' worth.
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The whole song is amazing, the lyrics are clever and the arrangement is impeccable, but can we specifically appreciate the syncopation at 2:53? That line feels just slightly more swung than in the original, and it's chills every time.
That was amazing! Great job all of you, and especialy to you, Tim, for putting it all together.
Great video (^^)👍
By the way…is that the guy from Veritaserum at the beginning of the song ?
“Ijk=-1, where i^2 = -1, and j^2 = -1, and k^2=-1, which = ijk” has beaten “pegasi 51b planet discovered” to be the most mind blowing thing he made rhyme
Coming back in 2020 (because it's always worth it to come back to this song) and thinking: "Everybody recorded from their own room? Wow, scientists are really ahead of their time."
So talented, so smart...awesome video.
Yes!!! This was so great!!! So glad to see you continue to find singing scientists all across UA-cam!
I was writing a presentation for a research symposium on Wednesday.
This was so worth taking a break.
I LOVE THIS SO MUCH!
It's finally here! I've been waiting for this for 28 days! Thank you Tim
I always come back to this video when I need a little bit of motivation
I returned to this song over 6 years later, to use part of it in my IBDP EE.
Good call putting Hank in the thumbnail. :-) I wouldn't have watched this otherwise. Good job, all!
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This is such a great song, gives me goosebumps every time.
Numberphile has an excellent video on the equation featured in this video.
which one? i dont recall watching it
+GeekJokes It's called Fantastic Quaternions
link?
MusicalRaichu I linked it earlier.
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Wow, man, you’re amazing at this stuff. I was pleasantly surprised to find Hank and Derek here too. New favorite music to listen to at work!
I was literally reading the inspiring story of Hamilton's discovery of quaternions on the Brougham Bridge about half an hour before this video came out. Another epic video, Tim, you beautiful man. Keep 'em happening.
I have to credit the "Horrible Science" series for my first exposure to the anecdote, at like age 10. Didn't think I'd ever make a song about it though!
This is awesome! I love how well everyone sang. They all sounded great!
Oh my god this is so good!! The melody, the lyrics, the voices, the story, everything!
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So many of my favourite youtubers in one video!!!!!!
Amazing as usual Tim!!
Thanks so much for doing this. It was AMAZING. 5 STARS. PERIOD. YAAAAAAY
Dude, the biography genre was great! You had asked on FB recently if we learned from your science ditties or were merely entertained. In this case, I learned.... and I think the biography makes is a tad easier to create a narrative plot to the song than does, say, explaining a whole field or addition/revolution in a field in a song. And there are so, so many unsung, interesting heroes of various sciences to be canonized (in both senses... get it?). Y'all could give Sewall Wright of evolutionary biology a good tribute. His fitness surfaces have been centrally important in the development of evolutionary theory in 20th century variously misunderstood and visually good for the video-ness of your work.
The unitary quaternion group is the smallest finite nonabelian group that maximizes the ratio of operations between elements that commute.
It has EVERYONE in it!!!! Wow, Hank makes a great Schrodinger. Freaking amazing job guys!!!
Woooowww... the amazing scholarly and creative talent that went into this!
this is everything I never knew I needed. this is incredible. the Hamiltion I, the math nerd, REALLY care about.
I would definitely pay for a full album of this and other covers of Hamilton
These are beautiful. All of them. Asking for more physics videos please.
Hank was on fire!!!
Sir Hamilton has been my favorite mathematician for a while, I never thought I would stumble on a masterpiece about him.
Veritasium!!!!!
This is epic! So excited to see everyone together! Great job!
How did I take so long to find AcapellaScience? Friggin' awesome sauce right here!
I've seen this like 20 times because I loved it so much and it still puts such a big smile on my face