back to indexToward a Fundamental Theory of Physics (Stephen Wolfram) | AI Podcast Clips
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the fundamental laws of physics might emerge from? 00:00:09.200 |
So just to clarify, so you've done a lot of fascinating work 00:00:13.900 |
with kind of discrete kinds of computation that, 00:00:20.080 |
and we'll talk about it, have this very clean structure. 00:00:24.080 |
It's such a nice way to demonstrate that simple rules 00:00:49.640 |
because as soon as you have universal computation, 00:00:52.600 |
you can, in principle, simulate anything with anything. 00:00:58.080 |
and if you're asking, were you to try to find 00:01:00.920 |
our physical universe by looking at possible programs 00:01:04.400 |
in the computational universe of all possible programs, 00:01:07.260 |
would the ones that correspond to our universe 00:01:10.300 |
be small and simple enough that we might find them 00:01:19.800 |
for describing computation for that to be feasible. 00:01:22.840 |
So the thing that I've been interested in for a long time 00:01:24.880 |
is what are the most structuralist structures 00:01:29.720 |
So in other words, if you say a cellular automaton 00:01:32.520 |
has a bunch of cells that are arrayed on a grid, 00:01:35.400 |
and it's very, you know, and every cell is updated 00:01:40.440 |
when there's a click of a clock, so to speak, 00:01:45.480 |
and every cell gets updated at the same time. 00:01:48.000 |
That's a very specific, very rigid kind of thing. 00:01:51.440 |
But my guess is that when we look at physics, 00:02:02.080 |
That what we see, what emerges for us as physical space, 00:02:08.380 |
that is sort of arbitrarily unstructured underneath. 00:02:11.940 |
And so I've been for a long time interested in kind of 00:02:18.620 |
And actually what I had thought about for ages 00:02:21.820 |
is using graphs, networks, where essentially, 00:02:32.360 |
Back in the early days of quantum mechanics, for example, 00:02:34.580 |
people said, "Oh, for sure, space is gonna be discrete, 00:02:37.900 |
"'cause all these other things we're finding are discrete." 00:02:41.880 |
And so space and physics today is always treated 00:02:44.560 |
as this continuous thing, just like Euclid imagined it. 00:02:54.740 |
In other words, there are points that are arbitrarily small 00:02:58.340 |
and there's a continuum of possible positions of points. 00:03:03.780 |
And so, for example, if we look at, I don't know, 00:03:09.100 |
"We can pour it, we can do all kinds of things continuously." 00:03:12.260 |
But actually we know, 'cause we know the physics of it, 00:03:14.620 |
that it consists of a bunch of discrete molecules 00:03:21.420 |
And so the possibility exists that that's true of space too. 00:03:29.460 |
but I've been interested in whether one can imagine 00:03:32.540 |
that underneath space and also underneath time 00:03:43.880 |
somehow fundamentally equivalent to a Turing machine, 00:03:51.620 |
essentially deals with integers, whole numbers, some level. 00:03:55.140 |
And it can do things like it can add one to a number, 00:03:59.500 |
- It can also store whatever the heck it did. 00:04:09.580 |
or sort of idealized physics or idealized mathematics, 00:04:23.340 |
- Are you comfortable with infinity in this context? 00:04:26.140 |
Are you comfortable in the context of computation? 00:04:31.400 |
- I think that the role of infinity is complicated. 00:04:33.740 |
Infinity is useful in conceptualizing things. 00:04:42.700 |
- But do you think infinity is part of the thing 00:04:49.300 |
I think there are many questions that you ask about, 00:04:54.420 |
Like when you say, is faster than light travel possible? 00:05:02.180 |
can you make something even arbitrarily large, 00:05:06.700 |
that will make faster than light travel possible? 00:05:10.180 |
Then you're thrown into dealing with infinity 00:05:18.580 |
and how one can make a computational infrastructure, 00:05:25.540 |
a computational infrastructure in a Turing machine sense, 00:05:29.680 |
that you really have to be dealing with precise real numbers, 00:05:32.580 |
you're dealing with partial differential equations, 00:05:44.120 |
that there's sort of a continuum for everything 00:05:47.140 |
And then the things I'm thinking about are wrong. 00:05:52.620 |
if you're trying to sort of do things about nature, 00:05:58.180 |
For me personally, it's kind of a strange thing, 00:06:02.060 |
'cause I've spent a lot of my life building technology 00:06:04.500 |
where you can do something that nobody cares about, 00:06:07.580 |
but you can't be sort of wrong in that sense, 00:06:16.100 |
the sort of underlying computational infrastructure 00:06:19.440 |
so it's sort of inevitable it's gonna be fairly abstract, 00:06:24.900 |
because if you're gonna get all these things, 00:06:32.680 |
you don't get to, if the model for the universe is simple, 00:06:45.900 |
- All of those things have to be emergent somehow. 00:06:49.860 |
- Right, so that means it's sort of inevitable 00:06:57.260 |
- Do you think human beings have the cognitive capacity 00:07:08.740 |
Like, do you think that's a hopeless pursuit? 00:07:12.220 |
I think that, I mean, I'm right in the middle 00:07:17.900 |
- Yeah, I mean, this human has a hard time understanding 00:07:35.780 |
whenever counting was invented 50,000 years ago, 00:07:43.620 |
that allow us to get to higher levels of understanding. 00:07:46.340 |
And we see the same thing happening in language. 00:07:48.540 |
You know, when we invent a word for something, 00:07:59.700 |
which this works this way, that way, the other way. 00:08:07.460 |
you start to be able to build on top of that. 00:08:10.260 |
and that's kind of the story of science actually too. 00:08:12.780 |
I mean, science is about building these kinds of waypoints 00:08:15.820 |
where we find this sort of cognitive mechanism 00:08:23.780 |
differential equations, we can build on top of that. 00:08:35.780 |
and there's no waypoints in between, then we're toast. 00:08:47.580 |
eventually from sand we'll get to the computer, right? 00:08:51.820 |
- The question is whether it is something that, 00:09:00.620 |
because for that, it requires steps that are, 00:09:12.180 |
I am somewhat hopeful that that will be possible. 00:09:15.100 |
Although, as of literally today, if you ask me, 00:09:19.120 |
I'm confronted with things that I don't understand very well. 00:09:22.120 |
- So this is a small pattern in a computation 00:09:40.620 |
so we didn't talk much about computational irreducibility, 00:09:47.660 |
that one has to understand, I think, which is, 00:09:52.580 |
you can figure out what happens in the computation 00:09:54.820 |
just by running every step in the computation 00:09:58.460 |
Or you can say, let me jump ahead and figure out, 00:10:04.660 |
what's gonna happen before it actually happens. 00:10:09.380 |
has been about that act of computational reducibility. 00:10:20.460 |
we just jump ahead 'cause we solved these equations. 00:10:23.260 |
Okay, so one of the things that is a consequence 00:10:25.500 |
of the principle of computational equivalence 00:10:28.980 |
Many, many systems will be computationally irreducible 00:10:32.260 |
in the sense that the only way to find out what they do 00:10:34.240 |
is just follow each step and see what happens. 00:10:38.740 |
well, we, with our brains, we're a lot smarter. 00:10:47.020 |
We can just use the power of our brains to jump ahead. 00:10:50.980 |
But if the principle of computational equivalence is right, 00:11:00.460 |
there's a little cellular automaton doing its computation, 00:11:03.240 |
and the principle of computational equivalence says, 00:11:05.620 |
these two computations are fundamentally equivalent. 00:11:10.320 |
we're a lot smarter than the cellular automaton 00:11:12.140 |
and jump ahead 'cause we're just doing computation 00:11:20.300 |
It's fascinating, and that's a really powerful idea. 00:11:23.740 |
I think that's both depressing and humbling and so on, 00:11:28.660 |
that we're all, we and a cellular automaton are the same. 00:11:41.260 |
But saying, can I understand what rules likely generated me? 00:11:50.280 |
you have to have some computational reducibility 00:11:55.020 |
If the only way to know whether we get the universe 00:11:57.060 |
is just to run the universe, we don't get to do that 00:11:59.940 |
'cause it just ran for 14.6 billion years or whatever, 00:12:11.980 |
yes, I can recognize those are electrons there. 00:12:24.780 |
The question of whether they land in the right place 00:12:39.620 |
that relies on these pockets of reducibility. 00:12:46.240 |
But I think this question about how observers operate, 00:12:54.100 |
has been that every time we get more realistic 00:12:56.720 |
about observers, we learn a bit more about science. 00:13:07.420 |
They have to just wait for the light signal to arrive 00:13:19.060 |
They can only see the kind of large scale features 00:13:21.380 |
and that's why the second law of thermodynamics, 00:13:28.420 |
you wouldn't conclude something about thermodynamics. 00:13:35.700 |
You wouldn't be able to see this aggregate fact. 00:13:45.900 |
about the computation and other aspects of observers 00:13:53.580 |
In fact, my little team and I have a little theory 00:13:57.400 |
right now about how quantum mechanics may work, 00:14:03.340 |
about how the sort of thread of human consciousness 00:14:10.540 |
But there's several steps to explain what that's about. 00:14:13.540 |
- What do you make of the mess of the observer 00:14:18.700 |
Sort of the textbook definition with quantum mechanics 00:14:32.920 |
What do you make sense of that kind of observing? 00:14:36.820 |
- Well, I think actually the ideas we've recently had 00:14:56.740 |
that I started talking about 30 years ago now, 00:14:59.380 |
they say, "Oh no, that can't possibly be right. 00:15:04.500 |
And you say, "Okay, tell me what is the essence 00:15:09.220 |
"to know that I've got quantum mechanics, so to speak?" 00:15:24.980 |
And they're like, "Well, maybe you shouldn't do that yet. 00:15:29.740 |
And one of the questions that I've been curious about is, 00:15:32.220 |
if I have five minutes with a quantum computer, 00:15:34.740 |
how can I tell if it's really a quantum computer, 00:15:36.860 |
or whether it's a simulator at the other end? 00:15:41.860 |
it's like a lot of these questions about sort of, 00:15:46.740 |
- That's a boring test for a quantum computer. 00:15:50.060 |
It's like, are you really a quantum computer? 00:16:07.580 |
and the completely separate thing that is our experience, 00:16:17.540 |
Quantum mechanics is all about the amplitudes 00:16:24.460 |
operates as if definite things are happening. 00:16:35.660 |
and this idea that it could perhaps have something 00:16:43.660 |
that there's a graph structure of nodes and edges, 00:16:50.900 |
what is, in a sense, the most structuralist structure 00:17:05.540 |
- By the way, the question itself is a beautiful one 00:17:11.420 |
just the question is a really strong question. 00:17:18.060 |
Essentially, what is interesting about the sort of model 00:17:42.700 |
or I could look at this special kind of graph, 00:17:44.780 |
or I could look at this kind of algebraic structure, 00:17:48.060 |
and turns out that the things I'm now looking at, 00:17:53.220 |
that is a plausible type of structureless structure 00:18:01.820 |
well, so you might have some collection of tuples, 00:18:14.380 |
So you might have one, three, five, two, three, four, 00:18:23.780 |
quadruples of numbers, pairs of numbers, whatever. 00:18:26.580 |
And you have all these sort of floating little tuples. 00:18:33.020 |
And that sort of floating collection of tuples, 00:18:44.220 |
is when a symbol is the same, it's the same, so to speak. 00:19:03.860 |
- I told you it's abstract, but this is the-- 00:19:10.820 |
- Right, but so think about it in terms of a graph. 00:19:23.340 |
this node has an edge connecting it to this other node. 00:19:26.780 |
So that's the, and a graph is just a collection 00:19:47.300 |
so that might represent the state of the universe. 00:19:53.500 |
And so the answer is that what I'm looking at 00:19:56.140 |
is transformation rules on these hypergraphs. 00:20:09.300 |
turn it into a piece of a hypergraph that looks like this. 00:20:12.220 |
So on a graph, it might be, when you see the subgraph, 00:20:15.140 |
when you see this thing with a bunch of edges hanging out 00:20:24.540 |
So the question is, what, so now you say, I mean, 00:20:44.380 |
I suspect everything's discrete, even in time, so. 00:20:48.980 |
- Okay, so the question is, where do you do the updates? 00:20:55.020 |
And you do them, the order in which the updates is done 00:21:01.780 |
so there may be many possible orderings for these updates. 00:21:18.620 |
- So in fact, all that you can be sensitive to 00:21:24.160 |
of how an event over there affects an event that's in you. 00:21:37.700 |
so the end result of that is all you're sensitive to 00:21:49.920 |
I'm simply saying, I'm simply making the argument 00:21:52.260 |
that what happens, the microscopic order of these rewrites 00:22:04.280 |
Because the only thing the observer can be affected by 00:22:17.620 |
You don't really have to look at this microscopic rewriting 00:22:21.400 |
So these rewrites are happening wherever they, 00:22:33.580 |
like what gets updated, the sequence of things is undefined. 00:22:39.660 |
- Is that's what you mean by the causal network, 00:22:42.260 |
- No, the causal network is given that an update has happened 00:22:46.900 |
Then the question is, is that event causally related to? 00:22:50.580 |
Does that event, if that event didn't happen, 00:22:56.660 |
- And so you build up this network of what affects what. 00:23:00.860 |
And so what that does, so when you build up that network, 00:23:04.480 |
that's kind of the observable aspect of the universe 00:23:09.040 |
- And so then you can ask questions about, you know, 00:23:16.740 |
Okay, so here's where it starts getting kind of interesting. 00:23:19.620 |
So for certain kinds of microscopic rewriting rules, 00:23:27.300 |
And so this is, okay, mathematical logic moment, 00:23:31.060 |
this is equivalent to the Church-Rosser property 00:23:35.700 |
And it's the same reason that if you are simplifying 00:23:40.120 |
you can say, oh, let me expand those terms out, 00:23:47.640 |
And that's, it's the same fundamental phenomenon 00:23:50.720 |
that causes for certain kinds of microscopic rewrite rules 00:23:54.560 |
that causes the causal network to be independent 00:24:05.800 |
I mean, the reason it's important is that that property, 00:24:10.800 |
special relativity says you can look at these sort of, 00:24:18.840 |
You can have different, you can be looking at your notion 00:24:21.560 |
of what space and what's time can be different, 00:24:24.540 |
depending on whether you're traveling at a certain speed, 00:24:26.480 |
depending on whether you're doing this, that, and the other. 00:24:28.860 |
But nevertheless, the laws of physics are the same. 00:24:31.000 |
That's what the principle of special relativity says, 00:24:43.880 |
is essentially equivalent to a change of reference frame, 00:24:46.100 |
or at least there's a sub part of how that works 00:24:48.700 |
that's equivalent to change of reference frame. 00:24:50.640 |
So, somewhat surprisingly, and sort of for the first time 00:24:57.040 |
microscopic theory to imply special relativity, 00:25:03.960 |
this is a, it's something where this other property, 00:25:07.320 |
causal invariance, which is also the property 00:25:10.600 |
that implies that there's a single thread of time 00:25:20.320 |
of an observer thinking that definite stuff happens. 00:25:23.720 |
Otherwise, you've got all these possible rewriting orders, 00:25:29.680 |
there's a notion of a definite thread of time. 00:25:34.880 |
even space, would be emergent from the system. 00:25:38.760 |
- So it's not a fundamental part of the system. 00:25:49.000 |
But the thing is that it's just like imagining, 00:25:53.840 |
and imagine you have something like a honeycomb graph, 00:26:01.840 |
it's just a bunch of nodes connected to other nodes. 00:26:05.440 |
you say that looks like a honeycomb, you know, lattice. 00:26:15.840 |
if you just connect all the nodes one to another, 00:26:18.560 |
in kind of a sort of linked list type structure, 00:26:33.680 |
And it's the same thing with these hypergraphs. 00:26:41.320 |
So we don't know, you know, this is one of these things, 00:26:43.800 |
we're kind of betting against nature, so to speak. 00:26:48.480 |
So there are many other properties of this kind of system 00:26:51.920 |
that are very beautiful, actually, and very suggestive. 00:26:56.040 |
And it will be very elegant if this turns out to be right, 00:27:00.200 |
I mean, you start with nothing and everything gets built up. 00:27:03.360 |
Everything about space, everything about time, 00:27:28.600 |
sort of hypergraph rewriting rule gives the universe. 00:27:32.320 |
Just run that hypergraph rewriting rule for enough times, 00:27:41.480 |
if we get to that point and we look at what is this thing, 00:27:52.720 |
Let's say, turns out the minimal version of this, 00:28:00.560 |
is actually a single line of orphan language code. 00:28:03.560 |
So that's, which I wasn't sure was gonna happen that way, 00:28:18.840 |
the specification of the rules might be slightly longer. 00:28:24.200 |
in the beauty and the elegance of the simplicity 00:28:34.000 |
But so the thing that is really strange to me, 00:28:36.360 |
and I haven't wrapped my brain around this yet, 00:28:42.560 |
one keeps on realizing that we're not special, 00:28:50.480 |
And yet, if we produce a rule for the universe, 00:28:56.400 |
and we can write it down in a couple of lines or something, 00:29:04.720 |
when many of the available universes, so to speak, 00:29:09.080 |
Might be, you know, a quintillion characters long. 00:29:12.400 |
Why did we get one of the ones that's simple? 00:29:14.600 |
And so I haven't wrapped my brain around that issue yet. 00:29:23.160 |
is it possible that there is something outside of this, 00:29:40.280 |
we don't get to say much about what's outside our universe, 00:29:46.680 |
Now, can we make a sort of almost theological conclusion 00:29:50.720 |
from being able to know how our particular universe works? 00:29:59.120 |
could we, and it relates again to this question 00:30:04.160 |
you know, we've got the rule for the universe. 00:30:13.600 |
that we're receiving from some random star somewhere, 00:30:20.800 |
and, you know, it's a periodic series of pulses, let's say. 00:30:28.320 |
- Just because it's elegant does not necessarily mean 00:30:34.480 |
or that we can even comprehend what would create it. 00:30:36.320 |
- Yeah, I mean, I think it's the ultimate version 00:30:45.680 |
which is, was our universe a piece of technology, 00:30:50.660 |
Because, but I mean, it'll be, it's, I mean, you know, 00:31:04.040 |
But there's no way we could understand that, so to speak, 00:31:23.320 |
running on a big computer and making our universe. 00:31:26.160 |
It's just saying that represents what our universe does, 00:31:30.760 |
laws of classical mechanics, differential equations, 00:31:33.360 |
whatever they are, represent what mechanical systems do. 00:31:42.840 |
Those differential equations are just representing 00:32:07.360 |
nanoengineering, kind of ideas that are kind of exciting, 00:32:20.920 |
I think the substrate on which the universe is operating 00:32:28.680 |
is that same substrate that the universe is operating in. 00:32:31.960 |
So, if the universe is a bunch of hypergraphs 00:32:34.020 |
being rewritten, then we get to attach ourselves 00:32:58.600 |
- But, so I've seen some beautiful cellular automata 00:33:00.920 |
that basically create copies of itself within itself, right? 00:33:04.080 |
So, that's the question, whether it's possible to create, 00:33:07.600 |
like, whether you need to understand the substrate 00:33:19.800 |
right now, if you poll typical people, you say, 00:33:25.580 |
You get, because I've done this poll, informally at least, 00:33:32.500 |
"Oh, yeah, that would be pretty interesting." 00:33:34.840 |
- I think that's becoming, surprisingly enough, more, 00:33:38.360 |
I mean, a lot of people are interested in physics 00:33:43.080 |
in a way that, like, without understanding it, 00:33:49.120 |
a very small number of them, struggle to understand 00:33:53.160 |
- Right, I mean, I think that's somewhat true, 00:33:55.400 |
and in fact, in this project that I'm launching into 00:33:58.680 |
to try and find the fundamental theory of physics, 00:34:14.120 |
I mean, I figure one feature of this project is, 00:34:23.920 |
because it might be the case that it generates 00:34:28.440 |
with the physical universe that we happen to live in. 00:34:33.760 |
kind of the quest to find the fundamental theory of physics. 00:34:39.960 |
it's kind of hard to find the fundamental theory of physics. 00:34:42.080 |
People weren't sure that that would be the case. 00:34:44.440 |
Back in the early days of applying mathematics to science, 00:34:50.840 |
"Oh, in 100 years, we'll know everything there is to know 00:34:58.800 |
'cause every time we got to sort of a greater level 00:35:21.120 |
that's a kooky business, we'll never be able to do that. 00:35:24.240 |
But we can operate within these frameworks that we built 00:35:27.200 |
for doing quantum field theory and general relativity 00:35:42.800 |
it's actually kind of crazy thinking back on it, 00:35:45.560 |
because it's kind of like there was this long period 00:35:48.520 |
in civilization where people thought the ancients 00:35:50.360 |
had it all figured out and will never figure out 00:35:53.240 |
And to some extent, that's the way I felt about physics 00:35:56.480 |
when I was in the middle of doing it, so to speak, 00:36:03.560 |
and yes, there's probably something underneath this, 00:36:16.880 |
and I discovered that they do all kinds of things 00:36:20.320 |
that were completely at odds with the intuition 00:36:23.920 |
And so after that, after you see this tiny little program 00:36:27.740 |
that does all this amazingly complicated stuff, 00:36:30.280 |
then you start feeling a bit more ambitious about physics 00:36:33.240 |
and saying, maybe we could do this for physics too. 00:36:39.780 |
in this kind of idea of could we actually find 00:36:46.440 |
like quantum field theory and general relativity and so on. 00:36:48.240 |
And people perhaps don't realize as clearly as they might 00:36:54.960 |
quantum field theory, sort of the theory of small stuff 00:36:59.520 |
and general relativity, theory of gravitation 00:37:01.760 |
and large stuff, those are the two basic theories, 00:37:17.740 |
But what's interesting is the foundations haven't changed 00:37:23.360 |
Even though the foundations had changed several times 00:37:25.760 |
before that in the 200 years earlier than that. 00:37:28.460 |
And I think the kinds of things that I'm thinking about, 00:37:32.360 |
which are sort of really informed by thinking 00:37:34.360 |
about computation and the computational universe, 00:37:38.480 |
It's a different set of foundations and might be wrong, 00:37:51.360 |
is, you know, if it turns out that the finding 00:37:59.600 |
it'd be a shame if we just didn't think to do it. 00:38:05.640 |
Let's, you know, and it takes another 200 years 00:38:11.720 |
You know, I think it's, I don't know how low hanging 00:38:16.600 |
It may be, you know, it may be that it's kind 00:38:21.840 |
I mean, I think the cautionary tale for me, you know, 00:38:25.520 |
I think about things that I've tried to do in technology 00:38:28.560 |
where people thought about doing them a lot earlier. 00:38:34.560 |
who thought about making essentially encapsulating 00:38:38.360 |
the world's knowledge in a computational form 00:38:41.280 |
in the late 1600s and did a lot of things towards that. 00:38:45.600 |
And basically, you know, we finally managed to do this, 00:38:50.560 |
And that's kind of the, in terms of life planning, 00:38:54.100 |
it's kind of like avoid things that can't be done 00:39:02.200 |
So you think if we kind of figure out the underlying rules 00:39:07.200 |
it can create from which quantum field theory 00:39:20.800 |
And I mean, it's already, even the things I've already done, 00:39:25.800 |
there are very, you know, it's very, very elegant actually, 00:39:36.320 |
If it isn't right, it's then the designer of the universe 00:39:43.920 |
- And your intuition in terms of design universe, 00:39:48.400 |
Is there randomness in this thing, or is it deterministic? 00:39:54.040 |
- That's a little bit of a complicated question 00:39:55.800 |
because when you're dealing with these things 00:40:00.760 |
- Even randomness is an emergent phenomenon perhaps? 00:40:06.240 |
in many of these systems, pseudo-randomness and randomness 00:40:11.840 |
In this particular case, the current idea that we have 00:40:25.120 |
without kind of yakking about very technical things. 00:40:28.360 |
Eventually I will be able to, but if that's right, 00:40:34.720 |
because it slices between determinism and randomness 00:40:39.220 |
in a weird way that hasn't been sliced before, so to speak. 00:40:42.140 |
So like many of these questions that come up in science 00:40:47.660 |
Turns out the real answer is it's neither of those things. 00:41:05.780 |
I mean, there's this question about a field like physics 00:41:09.180 |
and sort of the quest for fundamental theory and so on. 00:41:14.860 |
and there's the sort of the social aspect of what happens 00:41:18.380 |
because, you know, in a field that is basically 00:41:21.700 |
as old as physics, we're at, I don't know what it is, 00:41:25.060 |
fourth generation, I don't know, fifth generation, 00:41:26.860 |
I don't know what generation it is of physicists. 00:41:31.580 |
And for me, the foundations were like the pyramids, 00:41:42.180 |
to the foundations and think about rewriting them. 00:41:46.780 |
where you're still dealing with the first generation 00:41:53.460 |
that the nature of what happens in science tends to be, 00:42:02.400 |
And then there's a period of five years, 10 years, 00:42:06.260 |
where there's lots of things that are now made possible 00:42:08.860 |
by that methodological advance, whether it's, you know, 00:42:16.740 |
It's, you know, there's a, something happens, 00:42:21.740 |
a tool gets built, and then you can do a bunch of stuff. 00:42:25.580 |
And there's a bunch of low-hanging fruit to be picked. 00:42:30.980 |
After that, all that low-hanging fruit is picked, 00:42:33.980 |
then it's a hard slog for the next however many decades 00:42:38.180 |
or century or more to get to the next sort of level 00:42:43.660 |
And it's kind of a, and it tends to be the case 00:42:48.460 |
I wouldn't say cruise mode, 'cause it's really hard work, 00:42:51.140 |
but it's very hard work for very incremental progress.