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Sarah Walker

๐Ÿ‘ค Speaker
1530 total appearances

Appearances Over Time

Podcast Appearances

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

The long way doesn't exist.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

The long way doesn't exist.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

No, if you look at objects and you, so we define something we call the assembly universe and the assembly universe is ordered in time. It's actually ordered in the causation, the number of steps to produce an object. And so all objects in the universe are in some sense exist at a layer that's defined by their assembly index. And the size of each layer is growing exponentially.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

No, if you look at objects and you, so we define something we call the assembly universe and the assembly universe is ordered in time. It's actually ordered in the causation, the number of steps to produce an object. And so all objects in the universe are in some sense exist at a layer that's defined by their assembly index. And the size of each layer is growing exponentially.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

No, if you look at objects and you, so we define something we call the assembly universe and the assembly universe is ordered in time. It's actually ordered in the causation, the number of steps to produce an object. And so all objects in the universe are in some sense exist at a layer that's defined by their assembly index. And the size of each layer is growing exponentially.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

So what you're talking about, if you want to look at the long way of getting to an object, as I'm increasing the assembly index of an object, I'm moving deeper and deeper into an exponentially growing space. And it's actually also the case that the sort of typical path to get to that object is also exponentially growing with respect to the assembly index.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

So what you're talking about, if you want to look at the long way of getting to an object, as I'm increasing the assembly index of an object, I'm moving deeper and deeper into an exponentially growing space. And it's actually also the case that the sort of typical path to get to that object is also exponentially growing with respect to the assembly index.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

So what you're talking about, if you want to look at the long way of getting to an object, as I'm increasing the assembly index of an object, I'm moving deeper and deeper into an exponentially growing space. And it's actually also the case that the sort of typical path to get to that object is also exponentially growing with respect to the assembly index.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

And so if you want to try to make a more and more complex object and you want to do it by a typical path, that's actually an exponentially receding horizon. And so most objects that come into existence have to be causally very similar to the things that exist because they're close by in that space and they can actually get to it by an almost shortest path for that object.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

And so if you want to try to make a more and more complex object and you want to do it by a typical path, that's actually an exponentially receding horizon. And so most objects that come into existence have to be causally very similar to the things that exist because they're close by in that space and they can actually get to it by an almost shortest path for that object.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

And so if you want to try to make a more and more complex object and you want to do it by a typical path, that's actually an exponentially receding horizon. And so most objects that come into existence have to be causally very similar to the things that exist because they're close by in that space and they can actually get to it by an almost shortest path for that object.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

By a lot.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

By a lot.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

By a lot.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

Yeah, imagine yourself- A copy number greater than one. Yeah, I mean, basically we live, the more complex we get, we live in a space that is growing more exponentially large. And the ways of getting to objects in the space are also growing exponentially large.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

Yeah, imagine yourself- A copy number greater than one. Yeah, I mean, basically we live, the more complex we get, we live in a space that is growing more exponentially large. And the ways of getting to objects in the space are also growing exponentially large.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

Yeah, imagine yourself- A copy number greater than one. Yeah, I mean, basically we live, the more complex we get, we live in a space that is growing more exponentially large. And the ways of getting to objects in the space are also growing exponentially large.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

And so we're this kind of recursively, like, stacked structure of, like, all of these objects that are clinging on to each other for existence. And then they, like, grab something else and are allowed, like, able to bring that thing into existence because it's kind of similar to them.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

And so we're this kind of recursively, like, stacked structure of, like, all of these objects that are clinging on to each other for existence. And then they, like, grab something else and are allowed, like, able to bring that thing into existence because it's kind of similar to them.

Lex Fridman Podcast
#433 โ€“ Sara Walker: Physics of Life, Time, Complexity, and Aliens

And so we're this kind of recursively, like, stacked structure of, like, all of these objects that are clinging on to each other for existence. And then they, like, grab something else and are allowed, like, able to bring that thing into existence because it's kind of similar to them.