Earlier quoted context omitted.
Yes, they are throwing a party in Australia. Everyone is invited.
Does that mean we finally get to know how they look like?
Scientists find an effective solution for the three-body problem
91–100 of 264 posts
Re: Scientists find an effective solution for the three-body problem
#92Earlier quoted context omitted.
The problem is that a three-body system is inherently unstable/chaotic. So even if you run a numerical simulation with the same granularity for a two-body and a three-body system, the three-body simulation will degrade much faster than the two-body system. This is unrelated to the fact that there is a closed form solution, there are many stable, non-chaotic dynamical systems that don't have a closed form solution.
Conversely, there are also extremely simple closed-form recurrence relations that exhibit chaotic behavior, e.g. the logistic map.
Would a linear-feedback shift register be an example of a recurrence relation that exhibits chaotic behavior?
Re: Scientists find an effective solution for the three-body problem
#93The photo of Professor Hagai Perets (Left) and Ph.D. student Yonadav Barry Ginat seems to have them in their native environment: the university's Science and Math library. If you zoom you'll see the Math and Science topics listed on the card for the book shelves behind them.
Trust me, mathematicians do not sit in libraries.
Re: Scientists find an effective solution for the three-body problem
#94Earlier quoted context omitted.
Trust me, mathematicians do not sit in libraries.
they walk and wander around ;) https://jorgenveisdal.medium.com/the-mathematical-nomad-paul... https://medium.com/@vovakuzmenkov/poincares-creativity-8e31d...
I am sure that there is at least one mathematician who likes to sit in libraries.
But in general there is nothing for a mathematician to do in a library. It is not like you need access to large number of hard to get books. And if you need access to a book, you probably need a lot of time with that book.
That is if you even need books at all.
Even when I studied theoretical math I wouldn't use books at all. Problems tend to be easily formulated. Once I understood the problem I would walk around, lie on the couch, try stuff on the whiteboard or in my notepad, run experiments on Matlab, meet with friends to discuss the problem over coffee or beer and so on.
I don't remember spending time in a library or hearing about anybody spending time in a library.
Re: Scientists find an effective solution for the three-body problem
#95Fun to watch HN trying to solve the three-body problem in the comment thread.
Re: Scientists find an effective solution for the three-body problem
#96Earlier quoted context omitted.
they walk and wander around ;) https://jorgenveisdal.medium.com/the-mathematical-nomad-paul... https://medium.com/@vovakuzmenkov/poincares-creativity-8e31d...
I am sure that there is at least one mathematician who likes to sit in libraries. But in general there is nothing for a mathematician to do in a library. It is not like you need access to large number of hard to get books. And if you need access to a book, you probably need a lot of time with that book. That is if you even need books at all. Even when I studied theoretical math I wouldn't use books at all. Problems t…
I was looking around but couldn't find the piece my prof sent me 5 years ago.
It was a piece from a mathematician's diary about walking and coming up with proofs. There is something about a changing enviroment and being on the move that's very fascinating to me.
I guess that one mathematician who likes to sit in libraries probably sits there just for sitting there ;)
Re: Scientists find an effective solution for the three-body problem
#97Send it over to Trisolaris!
Much to my pedantic horror upon reading, they don't need the solution to a three body problem, but a four body problem!
Well, did we ever learn whether there were other planets in the system? It's been a minute and it's slipping my mind.
I really loved the entire trilogy though. Each book had a very different vibe and addressed a completely different topic/problem.
Re: Scientists find an effective solution for the three-body problem
#98Earlier quoted context omitted.
I am sure that there is at least one mathematician who likes to sit in libraries. But in general there is nothing for a mathematician to do in a library. It is not like you need access to large number of hard to get books. And if you need access to a book, you probably need a lot of time with that book. That is if you even need books at all. Even when I studied theoretical math I wouldn't use books at all. Problems t…
I was looking around but couldn't find the piece my prof sent me 5 years ago. It was a piece from a mathematician's diary about walking and coming up with proofs. There is something about a changing enviroment and being on the move that's very fascinating to me. I guess that one mathematician who likes to sit in libraries probably sits there just for sitting there ;)
Walking helps thinking, that is a well known fact, which I also learned from a mathematician who kept sharing in class how many problems he solved while walking his dog. He would always start his phrases with "while I was walking my dog I realized ...".
There seems to be a lot of research on this topic btw.
Re: Scientists find an effective solution for the three-body problem
#99Earlier quoted context omitted.
Huh? If this is the case, wouldn’t a 2 body problem also be practically impossible to calculate? I mean, you can certainly still predict to a certain (probably high) level of accuracy, but ultimately that motion is also influenced by factors outside your model.
The question is what happens with a small perturbation and how does it "grow". For a two body problem, you nudge one of the bodies and it is forever off by a small amount, but your predictions into infinity require only a small adjustment to compensate. For a three body problem you nudge one of the bodies and only for a very short time do your previous predictions stay true, the change amplifies until nothing you tho…
> For a two body problem, you nudge one of the bodies and it is forever off by a small amount, but your predictions into infinity require only a small adjustment to compensate.
How does this even work? Where is a place in the universe where there are only two bodies?? Where would the nudge come from if not from a third body?! A ghost?
Re: Scientists find an effective solution for the three-body problem
#100Earlier quoted context omitted.
Much to my pedantic horror upon reading, they don't need the solution to a three body problem, but a four body problem!
Well, did we ever learn whether there were other planets in the system? It's been a minute and it's slipping my mind. I really loved the entire trilogy though. Each book had a very different vibe and addressed a completely different topic/problem.
It's been a while since I've read it, but I seem to recall that there were other planets, but they either got ejected from the system, or fell into one of the stars.