back to indexLeonard Susskind: Quantum Mechanics, String Theory and Black Holes | Lex Fridman Podcast #41
Chapters
0:0 Intro
1:2 Richard Feynman
2:8 Using intuition
4:12 Neural wiring
6:11 Ego and science
7:53 Doubts
9:27 What is academia
12:12 Quantum computers
14:59 Algorithms
18:30 Black Holes
21:36 Information Processing
24:54 String Theory
26:35 Artificial Intelligence
30:48 Dream of String Theory
31:50 String Theory as a Tool
34:51 Quantum Mechanics
37:3 Illusion of Free Will
38:39 Arrow of Time
44:8 Reverse Time Travel
49:44 Eternal Inflation Theory
51:6 Black Hole Images
00:00:00.000 |
The following is a conversation with Leonard Susskind. 00:00:07.640 |
of Stanford Institute of Theoretical Physics. 00:00:14.920 |
as one of the greatest physicists of our time, 00:00:23.320 |
Perhaps you noticed that the people I've been speaking with 00:00:27.880 |
but philosophers, mathematicians, writers, psychologists, 00:00:45.800 |
If you enjoy the podcast, subscribe on YouTube, 00:00:48.760 |
give it five stars on iTunes, support it on Patreon, 00:00:57.560 |
And now, here's my conversation with Leonard Susskind. 00:01:01.640 |
You worked and were friends with Richard Feynman. 00:01:09.120 |
- What I saw, I think what I saw was somebody 00:01:13.880 |
who could do physics in this deeply intuitive way. 00:01:21.080 |
and visualize the phenomena that he was thinking about 00:01:26.840 |
outflank the mathematical, the highly mathematical 00:01:32.080 |
and very, very sophisticated technical arguments 00:01:39.400 |
but I saw somebody who was actually successful at it, 00:01:43.960 |
who could do physics in a way that I regarded 00:02:02.640 |
"Yeah, that's something you can do and get away with." 00:02:11.240 |
whether you're thinking about quantum mechanics 00:02:30.180 |
I tend to try to visualize the phenomena themselves. 00:02:34.660 |
And then when I get an insight that I think is valid, 00:02:46.280 |
I'm good enough at it, but I'm not a great mathematician. 00:03:06.940 |
- And yet, you've worked with very counterintuitive ideas. 00:03:47.100 |
quantum field theory are deeply unintuitive in that way. 00:03:51.180 |
But after time and getting familiar with these things, 00:03:58.560 |
And it's to the point where me and many of my friends, 00:04:13.520 |
- I mean, yes, our neural wiring in our brain 00:04:17.240 |
is such that we understand rocks and stones and water 00:04:23.320 |
- Do you think it's possible to create a wiring 00:04:26.740 |
of neuron-like state devices that more naturally 00:04:31.160 |
understand quantum mechanics, understand wave function, 00:04:42.480 |
to think quantum mechanically to some extent, 00:04:46.360 |
but that doesn't mean you can think like an electron. 00:04:58.660 |
or five-dimensional space or six-dimensional space, 00:05:08.240 |
I can't even visualize two dimensions or one dimension 00:05:11.960 |
without thinking about it as embedded in three dimensions. 00:05:18.280 |
I think of the line as being a line in three dimensions. 00:05:21.840 |
Or I think of the line as being a line on a piece of paper 00:05:25.580 |
with a piece of paper being in three dimensions. 00:05:28.160 |
I never seem to be able to, in some abstract and pure way, 00:05:33.160 |
visualize in my head the one dimension, the two dimension, 00:05:56.160 |
and we learn ways to visualize them, but they're different. 00:05:59.600 |
And so, yeah, I think we do rewire ourselves. 00:06:04.760 |
Whether we can ever completely rewire ourselves 00:06:07.200 |
to be completely comfortable with these concepts, I doubt. 00:06:15.060 |
- So I'm sure there's somewhat, you could argue, 00:06:18.140 |
creatures that live in a two-dimensional space. 00:06:28.220 |
of course, we're all living, as far as we know, 00:06:43.020 |
- Okay, so jumping back to Feynman just for a second, 00:06:54.780 |
- Why, do you think ego is powerful or dangerous in science? 00:07:02.860 |
I think you have to have both arrogance and humility. 00:07:06.500 |
You have to have the arrogance to say, "I can do this. 00:07:10.560 |
"Nature is difficult, nature is very, very hard. 00:07:19.000 |
On the other hand, I think you also have to have 00:07:29.040 |
Everything you're thinking could suddenly change. 00:07:35.500 |
you won't understand and you'll be lost and flabbergasted. 00:07:42.600 |
You better recognize that you're very limited 00:07:52.560 |
It takes a special kind of person who can manage 00:07:59.840 |
- And I would say there's echoes of that in your own work, 00:08:19.920 |
- Oh yeah, about the whole thing or about specific things? 00:08:31.420 |
First of all, did you have those kinds of doubts? 00:08:37.900 |
and I was uncomfortable in academia for a long time. 00:08:42.660 |
But they weren't doubts about my ability or my, 00:08:46.260 |
they were just the discomfort in being in an environment 00:08:58.300 |
I didn't learn that there was such a thing called physics 00:09:15.900 |
I never felt this insecurity, am I ever gonna get a job? 00:09:21.840 |
That had never occurred to me that I wouldn't. 00:09:25.740 |
- Maybe you could speak a little bit to this sense 00:09:31.720 |
Because I too feel a bit uncomfortable in it. 00:09:35.100 |
There's something I can't put quite into words 00:09:40.020 |
what you have that's not, doesn't, if we call it music, 00:09:45.020 |
you play a different kind of music than a lot of academia. 00:09:59.300 |
Thinking is one thing, feeling is another thing. 00:10:07.100 |
when I suddenly found myself the ultimate insider 00:10:18.640 |
I wasn't a young man, I was probably 50 years old. 00:10:22.300 |
- So you were never quite, it was a phase transition, 00:10:49.360 |
Now these days, half the young people I meet, 00:11:00.840 |
at some point, I found myself at very much the center of, 00:11:07.840 |
but certainly one of the people in the center 00:11:11.340 |
And all that went away, I mean, it went away in a flash. 00:11:30.380 |
The younger time, I spent more time with myself. 00:11:44.480 |
and people who are interested in the same thing I am, 00:11:52.840 |
I spend a good deal of time, almost on a daily basis, 00:12:01.360 |
I spend less time, probably, completely self-focused 00:12:25.020 |
- It's not just leveraging quantum mechanical ideas. 00:12:28.300 |
You can simulate quantum systems on a classical computer. 00:12:33.300 |
Simulate them means solve the Schrodinger equation for them, 00:12:49.820 |
Of course it is, everything's made of quantum mechanics, 00:12:58.600 |
The quantum computer is truly a quantum system, 00:13:27.280 |
The quantum computer is really a quantum mechanical system, 00:13:30.420 |
which is actually carrying out the quantum operations. 00:13:36.360 |
It intrinsically satisfies the uncertainty principle. 00:13:40.520 |
It is limited in the same way that quantum systems 00:13:51.420 |
when you program something for a quantum system 00:13:53.380 |
is you're actually building a real version of the system. 00:14:12.280 |
but in order to store the amount of information 00:14:39.900 |
than can possibly be stored in the entire universe 00:14:53.380 |
if your quantum computer is composed of 400 qubits, 00:15:00.780 |
if you just intuitively think about the space of algorithms 00:15:18.400 |
- Okay, so we know that there are a handful of algorithms 00:15:37.660 |
that the number of such things is very limited. 00:15:45.100 |
exhibit that much advantage for a quantum computer, 00:15:55.620 |
will actually be to simulate quantum systems. 00:15:58.720 |
If you're interested in a certain quantum system 00:16:05.900 |
you simply build a version of the same system. 00:16:29.620 |
Why not just do experiments on the real system? 00:16:33.940 |
You can't change them, you can't manipulate them, 00:16:36.340 |
you can't slow them down so that you can poke into them. 00:16:39.440 |
You can't modify them in arbitrary kinds of ways 00:17:00.980 |
- At the lowest level of the fundamental laws. 00:17:10.020 |
- Okay, so on the one hand, you have things like factoring. 00:17:13.060 |
Factoring is the great thing of quantum computers, 00:17:19.740 |
That doesn't seem that much to do with quantum mechanics. 00:17:32.920 |
And those problems seem to be extremely special, rare, 00:17:42.740 |
On the other hand, there are a lot of quantum systems. 00:17:47.900 |
there's material science, there's quantum gravity, 00:18:07.820 |
You know, solve equations by the standard methods 00:18:11.620 |
solve the equations by the method of classical computers. 00:18:44.380 |
forgive me, of our brain, biological systems? 00:19:04.120 |
There is another kind of quantum system that is big. 00:19:13.160 |
is that the physics of large quantum computers 00:19:22.000 |
Now you asked, you didn't ask about quantum computers 00:19:24.760 |
or systems, you didn't ask about black holes, 00:19:30.000 |
- Yeah, about stuff that's in the middle of the two. 00:19:33.280 |
- So black holes are, there's something fundamental 00:19:38.640 |
about black holes that feels to be very different 00:20:00.240 |
I would like to have more friends who are neuroscientists. 00:20:04.540 |
Among the few neuroscientists I've ever talked about 00:20:15.760 |
That it is not intrinsically a quantum mechanical system 00:20:43.040 |
Materials, the materials that we work with and so forth 00:20:47.720 |
are, can be large systems, a large piece of material, 00:21:00.600 |
is we're discovering materials and quantum systems 00:21:04.720 |
which function much more quantum mechanically 00:21:17.880 |
Superconductors have a lot of quantum mechanics in them. 00:21:21.900 |
You can have a large chunk of superconductor, 00:21:26.800 |
On the other hand, it's functioning and its properties 00:21:29.640 |
depend very, very strongly on quantum mechanics. 00:21:32.840 |
And to analyze them, you need the tools of quantum mechanics. 00:21:39.620 |
and looking at the universe as a information processing 00:21:48.600 |
- What's the power of thinking of the universe 00:21:55.200 |
besides the mathematical use of discussing black holes 00:21:58.800 |
and your famous debates and ideas around that, 00:22:08.840 |
- Well, all systems are information processing systems. 00:22:16.800 |
All systems are information processing systems. 00:22:21.460 |
It certainly feels, consciousness and intelligence 00:22:31.780 |
what are the emerging phenomena that come from 00:22:36.560 |
viewing the world as an information processing system? 00:22:59.520 |
when we're thinking, I think we get it wrong. 00:23:04.880 |
Everything I've heard about the way the brain functions 00:23:08.880 |
For example, you have neurons which detect vertical lines. 00:23:14.400 |
You have different neurons which detect lines at 45 degrees. 00:23:19.480 |
I never imagined that there were whole circuits 00:23:21.840 |
which were devoted to vertical lines in the brain. 00:23:25.400 |
It doesn't seem to be the way my brain works. 00:23:28.140 |
My brain seems to work if I put my finger up vertically, 00:23:33.420 |
It seems to me it's the same circuits that are, 00:23:45.600 |
if I were just doing psychological introspection 00:23:50.880 |
My conclusion is that we won't get it right that way. 00:23:58.820 |
I think maybe computer scientists will get it right. 00:24:02.720 |
Eventually, I don't think there are anywheres near it. 00:24:04.480 |
I don't even think they're thinking about it. 00:24:06.720 |
But by computer, eventually we will build machines, 00:24:18.380 |
maybe evolved by machine learning and so forth. 00:24:35.360 |
and for what this consciousness thing is all about. 00:24:43.720 |
that we can't possibly answer by introspection. 00:24:51.720 |
In many cases, if you look at even a string theory, 00:24:56.760 |
it seems really complicated, like the human brain. 00:25:07.520 |
you find out that it's actually much simpler. 00:25:10.160 |
Do you, one, have you, is that generally the process? 00:25:23.480 |
to find the simplest version of something and analyze it. 00:25:28.400 |
where physics has taken very complicated systems, 00:25:33.360 |
analyzed them, and found simplicity in them, for sure. 00:25:39.840 |
A superconductor seems like a monstrously complicated thing 00:25:42.480 |
with all sorts of crazy electrical properties, 00:25:52.920 |
it's a very simple quantum mechanical phenomenon 00:25:58.280 |
which we, in other contexts, we learned about 00:26:06.720 |
So yeah, I mean, yes, we do take complicated things, 00:26:13.680 |
is take things which are intrinsically complicated 00:26:20.600 |
We don't wanna make, I don't know who said this, 00:26:26.720 |
Is the brain a thing which ultimately functions 00:26:30.800 |
by some simple rules, or is it just complicated? 00:26:44.840 |
It seems that there's a lot of very smart physicists 00:26:48.240 |
who perhaps oversimplify the nature of intelligence 00:26:55.200 |
any theoretical reason why we can't artificially create 00:26:59.080 |
human-level or superhuman-level intelligence. 00:27:10.440 |
should allow you to create superhuman-level intelligence 00:27:22.240 |
- I wish I knew, but there's a particular reason 00:27:50.000 |
On the other hand, I'm good at giving advice, 00:27:56.280 |
who are approaching the machine learning problem. 00:28:06.320 |
why it is capable of doing the kind of generalizations 00:28:41.960 |
than the kind of systems that physicists study. 00:28:46.740 |
between quantum, in the structure of the mathematics, 00:28:51.320 |
physically, yes, but in the structure of the mathematics, 00:28:57.680 |
to describe a quantum system on the one hand, 00:29:01.420 |
and the kind of networks that are used in machine learning. 00:29:10.040 |
are being drawn to this field of machine learning, 00:29:16.800 |
not on machine learning, but on having lunch. 00:29:32.040 |
that they think they can do things that nobody else can do. 00:30:12.380 |
or a blink of the eye suddenly became understood, 00:30:22.960 |
and I said, "We're not gonna understand these things 00:30:25.560 |
"for 500 years, in particular quantum gravity." 00:30:33.760 |
and we don't understand it completely now by any means, 00:30:35.880 |
but I thought it was 500 years to make any progress. 00:30:40.740 |
It turned out to be very, very far from that. 00:30:45.160 |
from the time when I thought it was 500 years. 00:30:48.340 |
- So if we may, can we jump around quantum gravity, 00:30:53.640 |
What is the dream of string theory, mathematically? 00:31:06.540 |
of fundamental theoretical physics altogether. 00:31:09.560 |
- Understanding a unified theory of everything. 00:31:24.120 |
I much prefer to think of them as theoretical physicists 00:31:28.180 |
trying to answer deep fundamental questions about nature, 00:31:46.440 |
I don't like being referred to as a string theorist. 00:31:54.120 |
in multiple dimensions, the strings vibrating? 00:31:59.080 |
I'll tell you what the main use of it has been up till now. 00:32:07.560 |
I was right at the spot where it was being invented, 00:32:30.160 |
that these particles called hadrons could vibrate, 00:32:58.060 |
except on a very, very much smaller distance scale. 00:33:01.280 |
The objects of gravitation are 19 orders of magnitude 00:33:15.980 |
Its value is that it's mathematically rigorous in many ways 00:33:20.760 |
and enabled us to find mathematical structures 00:33:25.760 |
which have both quantum mechanics and gravity with rigor. 00:33:37.220 |
that they're 19 orders of magnitude too small, 00:33:46.840 |
By now, 40 years ago, 35 years ago, and so forth, 00:33:52.780 |
people very, very much questioned the consistency 00:33:59.240 |
Stephen Hawking was very famous for it, rightly so. 00:34:02.840 |
Now, nobody questions that consistency anymore. 00:34:09.080 |
They don't because we have mathematically precise 00:34:23.640 |
that quantum mechanics and gravity can coexist. 00:34:40.040 |
its biggest contribution to physics in illustrating, 00:34:44.200 |
almost definitively, that quantum mechanics and gravity 00:34:50.940 |
- Is there a possibility of something deeper, 00:34:53.800 |
more profound, that still is consistent with string theory, 00:35:03.080 |
- Well, you could ask the same thing about quantum mechanics. 00:35:11.000 |
that contains both gravitation and quantum mechanics. 00:35:15.660 |
So is there something underlying quantum mechanics? 00:35:23.920 |
My friend, Gerard Etoft, whose name you may know, 00:35:47.640 |
Etoft believes that there is some substructure 00:35:52.640 |
to the world which is classical in character, 00:36:13.800 |
- The wave function, not just the wave function, 00:36:19.960 |
uncertainty, entanglement, all these things are emergent. 00:36:24.000 |
- So you think quantum mechanics is the bottom of the well? 00:36:26.960 |
- Here I think is where you have to be humble. 00:36:35.720 |
anything is the bottom of the well at this time. 00:36:42.300 |
I can reasonably say when I look into the well, 00:36:50.500 |
I don't see any reason for there to be anything 00:37:18.340 |
Is there any connection whatsoever from this perception, 00:37:27.760 |
- The only thing I can say is I am puzzled by that 00:37:36.120 |
the illusion of free will, the illusion of self. 00:37:48.880 |
- There's echoes of it in the observer effect. 00:37:52.600 |
- So do you understand what it means to be an observer? 00:37:57.720 |
An observer is a system with enough degrees of freedom 00:38:07.320 |
When a system which we call an apparatus or an observer, 00:38:12.040 |
same thing, interacts with the system that it's observing, 00:38:21.600 |
And it's that entanglement which we call an observation 00:38:26.520 |
Now does that satisfy me personally as an observer? 00:38:34.860 |
a mathematical representation of what it means 00:38:44.860 |
- Do you think there's echoes of that kind of entanglement 00:38:52.240 |
We're entangled with, quantum mechanically entangled 00:39:05.660 |
do I really, am I really comfortable with it? 00:39:10.300 |
And I'm uncomfortable with it in the same way 00:39:12.580 |
that I can never get comfortable with five dimensions. 00:39:21.420 |
- A little bit more because I can always imagine 00:39:26.380 |
- So the arrow of time, are you comfortable with that arrow? 00:39:33.740 |
- That is a big question in physics right now. 00:39:37.620 |
All the physics that we do, or at least at the people 00:39:41.780 |
that I am comfortable with talking to, my friends. 00:39:49.460 |
We all ask the same question that you just asked. 00:39:51.940 |
Space, we have a pretty good idea, is emergent. 00:39:55.300 |
And it emerges out of entanglement and other things. 00:40:00.300 |
Time always seems to be built into our equations 00:40:03.940 |
as just what Newton pretty much would have thought. 00:40:10.380 |
And mostly in our equations, it is not emergent. 00:40:21.580 |
forward and backward. - Right, it's symmetric. 00:40:23.420 |
So you don't really need to think about the arrow of time 00:40:35.620 |
which are big enough for thermodynamics to become important, 00:40:40.840 |
For a small system, entropy is not a good concept. 00:40:46.020 |
And entropy is something which emerges out of large numbers. 00:40:52.840 |
It's a probabilistic idea, it's a statistical idea, 00:41:02.680 |
So it's not until you emerge at the thermodynamic level 00:41:23.940 |
- You mean like second law of thermodynamics, 00:41:27.260 |
Take a pack of cards and you fling it in the air 00:41:31.460 |
It gets random. - Yeah, but we understand it. 00:41:41.820 |
- What I think you can do is in a laboratory setting, 00:41:46.180 |
you can take a system which is somewhere intermediate 00:41:56.100 |
A thing which looks like it only wants to go forward 00:42:10.660 |
a Humpty Dumpty who fell on the floor and reverse that. 00:42:18.500 |
you can take systems which appear to be evolving 00:42:25.380 |
stop them, reverse them and make them go back. 00:42:38.340 |
- Did you just say that time travel is possible? 00:42:46.800 |
- You can make it go back, you can make it reverse 00:42:49.020 |
its steps, you can make it reverse its trajectory. 00:43:05.300 |
You can certainly do it with a simple small system. 00:43:10.300 |
Small systems don't have any sense of the arrow of time. 00:43:14.300 |
Atoms, atoms are no sense of an arrow of time. 00:43:24.480 |
the second law of thermodynamics is the law of large numbers. 00:43:28.520 |
- So you can break the law because it's not-- 00:44:05.700 |
- So, no time travel for engineering reasons. 00:44:27.400 |
- But in reversing the second law of thermodynamics, 00:44:46.040 |
This is just the ability to reverse a system. 00:44:51.040 |
You take the system, and you reverse the direction 00:45:00.940 |
If you find a particle moving in a certain direction, 00:45:05.720 |
you stop it dead, and then you simply reverse its motion, 00:45:22.400 |
well you can do it, but you have to be very, very careful 00:45:26.920 |
If you have 10 baseballs, really, really, or better yet, 00:45:38.840 |
Okay, so you start the balls all in a triangle, right? 00:45:44.640 |
you either whack 'em or you're really careful, 00:46:00.360 |
and reversing its motion so that it was going 00:46:07.400 |
it would reassemble itself back into the triangle. 00:46:11.560 |
Okay, that is a fact, and you can probably do it 00:46:15.780 |
with two billiard balls, maybe with three billiard balls 00:46:19.960 |
But what happens is as the system gets more and more 00:46:22.440 |
complicated, you have to be more and more precise 00:46:27.920 |
because the tiniest errors will get magnified, 00:46:31.000 |
and you'll simply not be able to do the reversal. 00:46:34.960 |
So yeah, but I wouldn't call that time travel. 00:46:39.720 |
But if you think of it, it just made me think, 00:46:43.280 |
if you think the unrolling of state that's happening 00:46:52.880 |
so the idea of looking at the world as a simulation, 00:47:05.800 |
How hard is it to have a computer that runs the universe? 00:47:24.640 |
and it's quantum mechanics, where I think we could 00:47:30.000 |
simulate it in a computer, in a quantum computer. 00:47:34.120 |
Classical computer, all you can do is solve its equations, 00:47:39.120 |
If we could build a quantum computer, a big enough one, 00:47:41.560 |
a robust enough one, we could probably simulate 00:47:46.360 |
a universe, a small version of an anti-de Sitter universe. 00:47:55.760 |
All right, so I think we know how to do that. 00:48:04.800 |
it's the de Sitter geometry, and we don't really understand 00:48:11.080 |
So at the present time, I would say we wouldn't have 00:48:16.480 |
No, we can ask, could we build in the laboratory 00:48:21.080 |
a small version, a quantum mechanical version, 00:48:51.440 |
- They differ by the sign of a single constant 00:49:03.680 |
Anti-de Sitter space, which is the negatively curved one, 00:49:21.800 |
De Sitter space is the one we really live in, 00:49:23.720 |
and that's the one that's exponentially expanding. 00:49:39.560 |
They would agree with me, they definitely would agree 00:49:55.840 |
My favorite is the one called eternal inflation. 00:50:26.800 |
- In practice, there was a beginning, of course. 00:50:54.000 |
- So, okay, of course you can think about it mathematically. 00:51:28.200 |
- Right, and all I can say is, very good question. 00:51:32.600 |
- So what do you think of the recent first image 00:51:39.400 |
of a black hole visualized from the Event Horizon Telescope? 00:51:45.680 |
In itself, the fact that there are black holes 00:52:09.520 |
of that particular mass scale and why they're so common 00:52:22.040 |
But it's a triumph in the sense that you go back 100 years 00:52:28.240 |
general relativity, the discovery of black holes, 00:52:31.520 |
LIGO, the incredible technology that went into LIGO. 00:52:35.540 |
It is something that I never would have believed 00:52:51.840 |
a magnificent thing, this evolution of general relativity, 00:52:56.840 |
LIGO, high precision, ability to measure things 00:53:22.460 |
And is the picture different than you realized it? 00:53:28.780 |
It's a magnificent triumph to have confirmed-- 00:53:37.400 |
at the level of black hole collisions actually works. 00:54:06.740 |
- What kind of questions can science not currently answer 00:54:17.040 |
- You think that's within the reach of science? 00:54:19.440 |
- I think it's somewhat within the reach of science, 00:54:23.720 |
of the computer scientists and the neuroscientists. 00:54:30.840 |
- But I think physicists will try to simplify it down 00:54:38.600 |
Maybe we simply need to do more machine learning 00:54:51.360 |
as a process of learning, evolving architecture, 00:54:54.360 |
not under our control, only partially under our control, 00:54:59.260 |
I'll tell you another thing that I find awesome. 00:55:04.840 |
that they taught computers how to play chess? 00:55:12.440 |
but just having them play against each other. 00:55:36.680 |
That makes me think that machines can evolve intelligence. 00:55:41.680 |
What exact kind of intelligence, I don't know, 00:55:53.040 |
- Well, life and intelligence is, last question, 00:55:55.920 |
what kind of questions can science not currently answer 00:56:12.040 |
I can say, are we a computer simulation with a purpose? 00:56:22.600 |
that underlies or is responsible for the whole thing? 00:56:27.200 |
Does that intelligent agent satisfy the laws of physics? 00:56:30.600 |
Does it satisfy the laws of quantum mechanics? 00:56:36.560 |
And I don't see, it seems to me a real question. 00:56:44.800 |
The questions have to be answerable to be real. 00:56:58.320 |
by any known method, but it seems to me real. 00:57:07.200 |
Leonard, thank you so much for talking today.