Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
1–10 of 24 posts
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#2I wish the article had talked more about what it had to do with black holes. Can anyone here explain that to me?
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#3I wish the article had talked more about what it had to do with black holes. Can anyone here explain that to me?
Here's a link to a paper on this: http://arxiv.org/abs/1208.4074. Explaining it is well beyond my capacity, though.
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#4This paragraph makes no sense to me:
They found that while the outputs of a mock modular form shoot off into enormous numbers, the corresponding ordinary modular form expands at close to the same rate. So when you add up the two outputs or, in some cases, subtract them from one another, the result is a relatively small number, such as four, in the simplest case.
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#5I wish the article had talked more about what it had to do with black holes. Can anyone here explain that to me?
Here's a link to a paper on this: http://arxiv.org/abs/1208.4074 . Explaining it is well beyond my capacity, though.
The abstract, although it's also far beyond me, actually sounds even more impressive than the article lets on.
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#6I wish the article had talked more about what it had to do with black holes. Can anyone here explain that to me?
Here's a link to a paper on this: http://arxiv.org/abs/1208.4074 . Explaining it is well beyond my capacity, though.
For a layman the abstract sounds like a computer-generated hoax.
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#7This paragraph makes no sense to me: They found that while the outputs of a mock modular form shoot off into enormous numbers, the corresponding ordinary modular form expands at close to the same rate. So when you add up the two outputs or, in some cases, subtract them from one another, the result is a relatively small number, such as four, in the simplest case.
You have two functions both of which grow to infinity, one of which is much better understood than the other. It turns out that if you subtract the two functions, they balance out perfectly so you end up with something converging to 4 instead of going to infinity.
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#8Earlier quoted context omitted.
Here's a link to a paper on this: http://arxiv.org/abs/1208.4074 . Explaining it is well beyond my capacity, though.
For a layman the abstract sounds like a computer-generated hoax.
You could say that about any field that one is unfamiliar with. Heck, the most basic art concepts could seem like so to a blind man. Mathematicians have worked for ages on simplifying the concepts so every term is there because it helps a trained mathematician understand what is going on.
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#9I love articles like this. Ramanujan was a very interesting man and perhaps had some of the deepest mathematical insights of anyone who existed. People are still trying to figure out what the things he wrote down meant. If you want to know more about his life, there's a great book called "The Man who Knew Infinity" (http://www.amazon.com/The-Man-Who-Knew-Infinity/dp/067175061...)
Re: Modern math solves Ramanujan’s ‘vision’ - may clarify black holes
#10Earlier quoted context omitted.
Here's a link to a paper on this: http://arxiv.org/abs/1208.4074 . Explaining it is well beyond my capacity, though.
For a layman the abstract sounds like a computer-generated hoax.
It seems genuine, or at least more sophisticated than computer-generated abstracts usually are. It seems to repeatedly mention the same concepts which is something usually lacking in computer-generated abstracts, though it does mix seemingly tenuously related topics.
I have no idea what any of it means though.