Editing 15: Garrett Lisi - My Arch-nemesis, Myself

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|title=My Arch-nemesis, Myself
|title=My Arch-nemesis, Myself
|image=[[File:The-portal-podcast-cover-art.jpg]]
|image=[[File:The-portal-podcast-cover-art.jpg]]
|guest=[https://twitter.com/garrettlisi Garrett Lisi]
|guest=[[Garrett Lisi]]
|length=01:45:58
|length=01:45:58
|releasedate=6 December 2019
|releasedate=6 December 2019
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|next=ep16
|next=ep16
}}
}}
[https://twitter.com/garrettlisi Garrett Lisi], the so called "Surf Bum with a Theory of Everything (or T.O.E.)", is a PhD theoretical physicist who has refused to be captured by the theoretical physics community. By making shrewd investments, he has avoided holding meaningful employment for his entire adult life. Instead, he lives in Maui and travels the world chasing the perfect wave.
[[Garrett Lisi]], the so called "Surf Bum with a Theory of Everything (or T.O.E.)", is a PhD theoretical physicist who has refused to be captured by the theoretical physics community. By making shrewd investments, he has avoided holding meaningful employment for his entire adult life. Instead, he lives in Maui and travels the world chasing the perfect wave.


In this episode Garrett and [[Eric Weinstein|Eric]] sit down to discuss the current status of Garrett's ideas for a final theory based on a mysterious object called [[Lie group E8|E8]], perhaps the oddest of mathematical symmetries to be found in the universe.  
In this episode Garrett and [[Eric Weinstein|Eric]] sit down to discuss the current status of Garrett's ideas for a final theory based on a mysterious object called [[Lie group E8|E8]], perhaps the oddest of mathematical symmetries to be found in the universe.  
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W - the thing that has affected both both you and myself most profoundly is the existence of something called [https://en.wikipedia.org/wiki/Spinor spinors] at the core of our understanding of matter do you want to say a little bit about what that is Wyatt you think it's affected you and and and me as well and why perhaps it hasn't had the same emotional and intellectual impact on the community  
W - the thing that has affected both both you and myself most profoundly is the existence of something called [https://en.wikipedia.org/wiki/Spinor spinors] at the core of our understanding of matter do you want to say a little bit about what that is Wyatt you think it's affected you and and and me as well and why perhaps it hasn't had the same emotional and intellectual impact on the community  


L - right I mean when you're... basically when physicists more or less completed that what's called the standard model of particle physics, right, you have you have the the known forces in physics like the electromagnetic force, the weak force and the strong force as well as the force of gravity and then you have the the matter particles which are [https://en.wikipedia.org/wiki/Electron electrons] and [https://en.wikipedia.org/wiki/Quark quarks] and [https://en.wikipedia.org/wiki/Neutrino neutrinos] and and other generations of these that form you know what are called the [https://en.wikipedia.org/wiki/Fermion fermions] okay and these are called the matter particles and then they have mass because of the interaction with the [https://en.wikipedia.org/wiki/Higgs_boson Higgs boson] right which is sort of...
L - right I mean when you're... basically when physicists more or less completed that what's called the standard model of particle physics, right, you have you have the the known forces in physics like the electromagnetic force, the weak force and the strong force as well as the force of gravity and then you have the the matter particles which are [[Electron|electrons]] and [[Quark|quarks]] and [[Neutrino|neutrinos]] and and other generations of these that form you know what are called the [[Fermions|fermions]] okay and these are called the matter particles and then they have mass because of the interaction with the [[Higgs Boson|Higgs boson]] right which is sort of...


W -  that's not going to make sense to people  
W -  that's not going to make sense to people  


L - it's not alright but anyway the the force particles behave differently as elementary particles under rotations than the matter particles all right. so these matter particles, they you have to basically rotate them 720 degrees to return them to their original state. Whereas most objects you rotate it and you rotate it 360 degrees and get back to where you started all right but spinors are different right and they they behave in a very specific way and there's a there's a very specific way of describing them mathematically but it's described in an unusual way. It's described as a as a column of [https://en.wikipedia.org/wiki/Complex_number complex numbers] or a column matrix if you like that's acted on by a rotation matrix that tells you specifically how these particles transform under rotation  
L - it's not alright but anyway the the force particles behave differently as elementary particles under rotations than the matter particles all right. so these matter particles, they you have to basically rotate them 720 degrees to return them to their original state. Whereas most objects you rotate it and you rotate it 360 degrees and get back to where you started all right but spinors are different right and they they behave in a very specific way and there's a there's a very specific way of describing them mathematically but it's described in an unusual way. It's described as a as a column of [[Complex Numbers|complex numbers]] or a column matrix if you like that's acted on by a [[Rotation Matrix|rotation matrix]] that tells you specifically how these particles transform under rotation  


W - honestly that wouldn't make any sense to me and I don't think I can help all of my audience together  
W - honestly that wouldn't make any sense to me and I don't think I can help all of my audience together  
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If gravity is described geometrically and are all our other forces described geometrically the universe is just one thing it's right there in the name I mean "uni" is one, "verse" is turning we have we have this "one-turning thing" we call the universe and it's just one mathematical object and if this if we have different particles they have to be aspects of this one mathematical object why would this mathematical object have spinors as an aspect of them it was a huge mystery to me I want to go solve it no one else even acknowledged it was a problem and you also tackled this this also bothered you  
If gravity is described geometrically and are all our other forces described geometrically the universe is just one thing it's right there in the name I mean "uni" is one, "verse" is turning we have we have this "one-turning thing" we call the universe and it's just one mathematical object and if this if we have different particles they have to be aspects of this one mathematical object why would this mathematical object have spinors as an aspect of them it was a huge mystery to me I want to go solve it no one else even acknowledged it was a problem and you also tackled this this also bothered you  


W - well there was a so this is the very difficult part of what the portal is supposed to be and I have the feeling that we've probably left a lot of our listeners behind but I've said that we're going to have to take some risks and this is going to be one of them, so the way I see it some some of our listeners are also viewers right and we have in studio these beautiful [https://en.wikipedia.org/wiki/Klein_bottle Klein bottles] from Acme Klein Bottle and [https://www.kleinbottle.com/ Cliff Stoll] out of Oakland I guess these objects that I'm holding up or you can look up Klein bottles on the on the web have this very odd property that they are covered if you will by the surface of a doughnut if the surface of the doughnut wraps around this object twice and we call this a double cover. Now the idea that you have some very strange object with no inside and outside called a Klein bottle but that it's wrapped twice by some object which has different properties namely the surface of a doughnut called a torus, the rotations of our three-dimensional space, bizarrely have some object that covers them twice, just as a doughnut covers a Klein model twice so when we talk this crazy language about you have to rotate an object more than 360 degrees for it to come back to itself, this is somewhat of garbage language that we've taught people to understand, when we're not really showing them what's behind the curtain.  
W - well there was a so this is the very difficult part of what the portal is supposed to be and I have the feeling that we've probably left a lot of our listeners behind but I've said that we're going to have to take some risks and this is going to be one of them, so the way I see it some some of our listeners are also viewers right and we have in studio these beautiful [[Klein Bottle|Klein bottles]] from Acme Klein Bottle and [[Cliff Stoll]] out of Oakland I guess these objects that I'm holding up or you can look up Klein bottles on the on the web have this very odd property that they are covered if you will by the surface of a doughnut if the surface of the doughnut wraps around this object twice and we call this a double cover. Now the idea that you have some very strange object with no inside and outside called a Klein bottle but that it's wrapped twice by some object which has different properties namely the surface of a doughnut called a torus, the rotations of our three-dimensional space, bizarrely have some object that covers them twice, just as a doughnut covers a Klein model twice so when we talk this crazy language about you have to rotate an object more than 360 degrees for it to come back to itself, this is somewhat of garbage language that we've taught people to understand, when we're not really showing them what's behind the curtain.  


We're not showing them that there are the rotations of a rigid three-dimensional space and then there's this thing that covers those rotations twice called the [https://en.wikipedia.org/wiki/Spin_group spin group] and that spin group is the thing that has the property that it acts on these things called spinors so this is a hidden level of structure that you would not know was there just from three-dimensional space there's some secret trapped in three-dimensional space that is very well hidden, and if we weren't at a very high level of mathematics or physics you would never know that spinors even exist to play with  
We're not showing them that there are the rotations of a rigid three-dimensional space and then there's this thing that covers those rotations twice called the [[Spin Group|spin group]] and that spin group is the thing that has the property that it acts on these things called spinors so this is a hidden level of structure that you would not know was there just from three-dimensional space there's some secret trapped in three-dimensional space that is very well hidden, and if we weren't at a very high level of mathematics or physics you would never know that spinors even exist to play with  


L - right I mean it comes out of [https://en.wikipedia.org/wiki/Representation_theory representation theory] but that once again that's a fairly high level of mathematics you have to get to to even see that these things exist  
L - right I mean it comes out of [[Representation Theory|representation theory]] but that once again that's a fairly high level of mathematics you have to get to to even see that these things exist  


W - and for all of the other basic kinds of symmetries we don't have these hidden representations we don't have these hidden spaces that have these bizarre properties it's only for these things called [https://en.wikipedia.org/wiki/Orthogonal_group orthogonal groups] so it's a very special property of real Euclidean rigid space that spinors are there to be found and not only does nature find them, she bases all of matter around the hidden object that can't easily be seen or deduced which is a total mind job right? and the math community has in fact sort of split between people who think hey we can describe these things mathematically so our work is done versus other people who believe there's something about spinors that just it continues to surprise us we don't understand where they came from there a hidden feature of the universe and they keep giving in this very mysterious fashion  
W - and for all of the other basic kinds of symmetries we don't have these hidden representations we don't have these hidden spaces that have these bizarre properties it's only for these things called [[Orthogonal Groups|orthogonal groups]] so it's a very special property of real Euclidean rigid space that spinors are there to be found and not only does nature find them, she bases all of matter around the hidden object that can't easily be seen or deduced which is a total mind job right? and the math community has in fact sort of split between people who think hey we can describe these things mathematically so our work is done versus other people who believe there's something about spinors that just it continues to surprise us we don't understand where they came from there a hidden feature of the universe and they keep giving in this very mysterious fashion  


L - yeah and the most of the general relativists who came at this problem um just would not want to touch it because it's too far into them and the people came into it from the particle physics side thought it wasn't a problem -  it's this field transforms a certain way it seems perfectly well described  
L - yeah and the most of the general relativists who came at this problem um just would not want to touch it because it's too far into them and the people came into it from the particle physics side thought it wasn't a problem -  it's this field transforms a certain way it seems perfectly well described  
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W - Well, I'm trying to, we're trying to describe this. I would like to describe this a little bit as as if we were taking somebody to an opera in a foreign language so that they can follow the plot even though they can't follow line by line, OK?  
W - Well, I'm trying to, we're trying to describe this. I would like to describe this a little bit as as if we were taking somebody to an opera in a foreign language so that they can follow the plot even though they can't follow line by line, OK?  


The way I see what you're saying is is that there is a usual kind of symmetry which we would associate with [https://en.wikipedia.org/wiki/Boson bosons] that is the force particles of the universe and what makes these very strange objects that you've you've referred to as in referring to exceptional lie groups is that you appear to take something from the fermionic universe that is this spinorial universe where the spinors come from and you adjoin it in some sense to the bosonic to get more symmetries  
The way I see what you're saying is is that there is a usual kind of symmetry which we would associate with [[Bosons|bosons]] that is the force particles of the universe and what makes these very strange objects that you've you've referred to as in referring to exceptional lie groups is that you appear to take something from the fermionic universe that is this spinorial universe where the spinors come from and you adjoin it in some sense to the bosonic to get more symmetries  


L - yes yeah that's very clear   
L - yes yeah that's very clear   
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L - right  
L - right  


W - one of them goes into the name of bosonic quantization and the other sort of goes under the name sometimes of you know [https://en.wikipedia.org/wiki/Berezin_integral Berezin]([https://en.wikipedia.org/wiki/Felix_Berezin Felix Berezin]) theory right and  
W - one of them goes into the name of [[Bosonic Quantization|bosonic quantization]] and the other sort of goes under the name sometimes of you know [https://en.wikipedia.org/wiki/Berezin_integral Berezin]([https://en.wikipedia.org/wiki/Felix_Berezin Felix Berezin]) theory right and  


L - anti commuting numbers.  number were A times B times equals negative B times A
L - anti commuting numbers.  number were A times B times equals negative B times A


W - a parallel totally different treatment and the way you've done it you've really taken the fermions that is the matter part the the spinors that we've been discussing you've lumped them together with the bosons and now they're fused in a way that it's going to be almost impossible to treat the spinors in a manner befitting fermionic quantization
W - a parallel totally different treatment and the way you've done it you've really taken the fermions that is the matter part the the spinors that we've been discussing you've lumped them together with the bosons and now they're fused in a way that it's going to be almost impossible to treat the spinors in a manner befitting [[Fermionic Quantization|fermionic quantization]]


L - yeah no, it's very straightforward though the the fermions just end up being along directions orthogonal to space-time
L - yeah no, it's very straightforward though the the fermions just end up being along directions orthogonal to space-time
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2) Second of all because of the unit of the particular way in which bosons and fermions, matter and force, were fused together it really pushed everything towards the bosonic side; that is the force side of the equation, so you're gonna now have to be in some kind of technical debt where you would have to figure out how to get the fermions back into a matter framework because you would actually push them too far, through unification, into a union with force. That was another basic concern and..  
2) Second of all because of the unit of the particular way in which bosons and fermions, matter and force, were fused together it really pushed everything towards the bosonic side; that is the force side of the equation, so you're gonna now have to be in some kind of technical debt where you would have to figure out how to get the fermions back into a matter framework because you would actually push them too far, through unification, into a union with force. That was another basic concern and..  


3) my last concern was that because of the properties of this object you didn't have any room for what we call [https://en.wikipedia.org/wiki/Chirality chirality] in which the universe that we've seen so far appears to have a left-right asymmetry to it -  it's as if it has a beauty mark - and any object that you derive from E8 is gonna be very hard to get it to have a beauty mark because E8 doesn't have a beauty mark itself, so these were three things that you're going to have to pay back (L - right) if you were going to connect this to the world that we see and that might - my irritation with you was  that I brought this up with you in 200? remind me? 2008, not 2009, when we met at the [https://www.perimeterinstitute.ca Perimeter Institute] and I tried to warn you about these things I felt like you never took me seriously.
3) my last concern was that because of the properties of this object you didn't have any room for what we call [[Chirality|chirality]] in which the universe that we've seen so far appears to have a left-right asymmetry to it -  it's as if it has a beauty mark - and any object that you derive from E8 is gonna be very hard to get it to have a beauty mark because E8 doesn't have a beauty mark itself, so these were three things that you're going to have to pay back (L - right) if you were going to connect this to the world that we see and that might - my irritation with you was  that I brought this up with you in 200? remind me? 2008, not 2009, when we met at the [https://www.perimeterinstitute.ca Perimeter Institute] and I tried to warn you about these things I felt like you never took me seriously.


L - No, I did take you seriously. I've taken all these problems seriously and they're discussed in subsequent work and the way I've been resolving them is by tackling a larger, unspoken problem which is how to have a quantum description of this sort of geometry,  right?  
L - No, I did take you seriously. I've taken all these problems seriously and they're discussed in subsequent work and the way I've been resolving them is by tackling a larger, unspoken problem which is how to have a quantum description of this sort of geometry,  right?  
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  L - I would never put it that way  
  L - I would never put it that way  
   
   
  W - I know because what you did is you took a theory I mean, to be honest, there's a different set of objects called the [https://en.wikipedia.org/wiki/Exceptional_isomorphism exceptional isomorphisms] which aren't the [https://en.wikipedia.org/wiki/Exceptional_Lie_algebra exceptional lie groups] that have the exact same property that you found where you take something from the force universe let's say there's some object called spin(6) which by an exceptional isomorphism is equivalent to some other object, surprisingly, called su(4) and you can take the spinors of spin six and find out that they are just the four dimensional object from su(4) right and smush them together and you get an analogue of E8 (L - yeah) there's also probably not used by the physical universe in any way that we think of as being important I don't think that that feature is what you think it is  
  W - I know because what you did is you took a theory I mean, to be honest, there's a different set of objects called the [[Exceptional Isomorphisms|exceptional isomorphisms]] which aren't the [[Exceptional Lie Groups|exceptional lie groups]] that have the exact same property that you found where you take something from the force universe let's say there's some object called spin(6) which by an exceptional isomorphism is equivalent to some other object, surprisingly, called su(4) and you can take the spinors of spin six and find out that they are just the four dimensional object from su(4) right and smush them together and you get an analogue of E8 (L - yeah) there's also probably not used by the physical universe in any way that we think of as being important I don't think that that feature is what you think it is  
   
   
  L - right but there world of mathematical possibilities out here and I think we need more people  
  L - right but there world of mathematical possibilities out here and I think we need more people  
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W - that's fantastic so yeah can you just I'm curious from your perspective how do you see the two of us as being divided in our approaches to the community I would definitely say that I I seem to be more connected to the sensibilities of the 'elite science community' I know that I can get their noses out of joint but I'm attracted them very carefully  
W - that's fantastic so yeah can you just I'm curious from your perspective how do you see the two of us as being divided in our approaches to the community I would definitely say that I I seem to be more connected to the sensibilities of the 'elite science community' I know that I can get their noses out of joint but I'm attracted them very carefully  


L - yeah you had a lot fights with those guys (W - okay) yeah whereas I I didn't so my our academic lineages are quite different I mean I went I went to a smaller school I went to UC San Diego I didn't go to Harvard but my advisor they're in particle physics was [https://en.wikipedia.org/wiki/Roger_Dashen Roger Dashen] but he he passed away well as a graduate student and I finished up my my dissertation under under [https://www-physics.ucsd.edu/Directory/Person/1 Henry Abarbanel] who also had a background in particle physics but it changed into non-linear dynamics.
L - yeah you had a lot fights with those guys (W - okay) yeah whereas I I didn't so my our academic lineages are quite different I mean I went I went to a smaller school I went to UC San Diego I didn't go to [[Harvard University|Harvard]] but my advisor they're in particle physics was [https://en.wikipedia.org/wiki/Roger_Dashen Roger Dashen] but he he passed away well as a graduate student and I finished up my my dissertation under under [https://www-physics.ucsd.edu/Directory/Person/1 Henry Abarbanel] who also had a background in particle physics but it changed into non-linear dynamics.


W - but in some sense you were a self advised PhD  
W - but in some sense you were a self advised PhD  
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