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Wednesday, June 01, 2011

Four links to Paul Dirac

The other day I was wondering out aloud whether somebody had ever checked the average number of co-authors to the next Nobelprize winner, because sometimes it seems to me like everybody knows everybody in theoretical physics. And it's not even a small community. Well, I don't know if anybody has actually measured the diameter of the physics coauthor network, but I saw this morning that the AMS has a tool to calculate 'collaboration distance' which is pretty much self-explanatory:


So, let's see how far I'm away from Paul Dirac coauthor-wise...


Not so far actually, thanks to Lee. Dirac's paper on the list above is a Nature article from 1952 on the question "Is there an Aether?" What about Albert Einstein then?

And go:


With 5 links to Albert Einstein! That's less than I would have guessed. With 6 links you can probably connect any two authors.

Unfortunately, the AMS database doesn't seem to contain experimentalists. Neither could I find any description of the algorithm used. It runs amazingly fast, and it makes me a little suspicious that in no query I tried did I get two paths with the same length, though that might have been coincidence.

So, have fun playing around.

34 comments:

  1. Hi Bee,

    Very interesting. I'm at 8 steps from both (and 7 from Schrödinger).

    http://twitpic.com/55ew61
    http://twitpic.com/55ew41


    Best,

    Christine

    ReplyDelete
  2. Well, you're doing astrophysics, no? I suspect if they had experimentalists in the database the distance would be less.

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  3. Check out http://www.petekrawczyk.com/lj_connect/ for a visually-pleasing approach to the same problem in a different domain.

    ReplyDelete
  4. Perhaps, but I'd say that, being a experimentalist or not, one could probably connect to anyone else with 8 links or so, based on my tests. (You supposed 6 links... Maybe... But since I am an obscure person from an obscure country, I believe that 8 links would do.)

    [I have papers in astrophysics but a few in others areas as well; these days I'm mostly in condensed matter. My results above connected from an astro paper].

    Best,

    Christine

    ReplyDelete
  5. Here are some results for me. The best I could get was 6.

    6 s chandrasekhar
    6 e calabi
    6 m gell-mann
    7 s hawking
    7 e wigner
    7 l landau
    7 g perelman
    7 r feynman
    7 j schwinger
    7 h bethe
    7 d bohm
    7 s weinberg
    7 g t'hooft

    Ok, enough. So I guess a distance of ~7 will reasonably connect anyone.

    BTW, there is one result, however, that is better for me than for you. I'm *sorry*, here it goes:

    7 l motl

    The distance between you and the latter is only 4. =))

    Best,
    Christine

    ReplyDelete
  6. "It runs amazingly fast, and it makes me a little suspicious that in no query I tried did I get two paths with the same length, though that might have been coincidence."

    Why should it be slow? Finding the shortest distance on a graph is a simple problem in Computer Science. Every BGP-enabled router on the Internet solves this problem constantly. That's why when you access something over the Internet, packets tend to flow through the shortest possible path.

    Here's a nice article on Wikipedia: http://en.wikipedia.org/wiki/Dijkstra%27s_algorithm

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  7. Well, I'm not a computer scientist, so you're probably right. Just because something is a simple problem doesn't mean though it has a quick answer. Is the routing really computed from scratch every time or does it just use variations around well-trodden paths?

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  8. Depends how algorithm is written?

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  9. This tool doesn't contain all theorists either -- my guess is that it's only hep-th.

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  10. http://en.wikipedia.org/wiki/Six_degrees_of_separation
    Stanley Milgrom therein.

    the AMS database doesn't seem to contain experimentalists Contemporary physical theory is elegant. Anybody can see a naked emperor. Why should anybody be regarded for ending that beauty?

    [Uncle Al thanks theory for bestowing HyperChem. We will not remember when theory predicted /_\H(formation) within a hartree, and boasted about doing it. OTOH, it did get better - not so string theory and SUSY.]

    ReplyDelete
  11. Bee, how many nodes (different authors) do you think the database contains? 100,000?

    ReplyDelete
  12. Hi Arun,

    That's very difficult to say because I don't know what their database is built on. As noted above, it doesn't seem to contain experimentalists, and I suspect it's mostly math-centered. Yet I don't know how international it is, or how far back in time it goes. But I too would have guessed something of the order 100,000. That's the number of different authors. Yet the collaboration distance actually searches for a path on papers, which will be substantially more, maybe a factor 10? Best,

    B.

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  13. Hi Bee,

    In the situation I find myself, no matter which physicist I choose, the distant between me and all is invariant, as being both infinite and undefinable. This had a thought cross my mind, as perhaps a photon has a similar relationship in respect to the other particles; as not being one of them (massless at rest and then having to be forever restless) and thus never able to correlate as to collaborate :-)

    ”I refuse to join any club that would have me as a member.

    -Groucho Marx

    Best,

    Phil

    ReplyDelete
  14. I'm about infinite steps from every famous person who ever lived, but as an Engineer, I know that Infinity is just a concept that only works in Mathematics and Physics, so it doesn't bother me.

    Hey Bee, good show on your latest paper. Did you discuss it here yet?

    ReplyDelete
  15. It would be so good if being at 8 steps from Einstein would mean being at 8 steps (in whatever units you choose) from Einstein's *mind*, which is not the case, of course. So, really, this distance collaboration thing just means that if each person collaborates at least with someone else, she/he will probably be connected at some distance to some "important" person in the web... So, Phil, Steven, never mind.

    Best,

    Christine

    ReplyDelete
  16. You're an aetherist, so to say... well, phenomenologically...

    ReplyDelete
  17. Renzuo Xu to Sabine Hossenfelder is a distance of 9.

    A.S. Padmanabhan to Sabine Hossenfelder - "No Path Found". :)

    So there are disconnected sets.

    Anyway, I think, Bee, doesn't matter if there are a million papers or ten million, what matters is the unique sets of authors, which I imagine may be available pre-digested.

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  18. Hi Steven,

    No, haven't discussed the paper here, and won't find time for that for some while, sorry. Best,

    B.

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  19. This comment has been removed by the author.

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  20. Hi Christine,

    I don’t really regret not being able to be correlated in such a consideration as knowing that in a more general sense I'm not that distant from anyone else in the world.

    What it does show is perhaps we should be more concerned with what has us connected, rather than what has us as apart. That is we are now beginning to understand things such a entanglement and complexity when taken together has things more likely to being the same as to not.

    ”What is the meaning of the togetherness of the perceiving mind, in that peculiar modification of perceiving which makes it perceive not a star but a tree, and the tree itself, is a problem for philosophy.”

    -Samuel Alexander



    Best,

    Phil

    ReplyDelete
  21. Hi Phil,

    Yes, the 6 degrees separation... In bookstores here one can see some books displayed in the storefront related to this. Looks like people want to learn how to take advantage of that somehow in their social connections. Everything seems to point to the fact that social netwotks are more important to achieve certain aims than other qualities, such as merit or hard work. Maybe it has always been like that, but only exacerbated with the internet.

    Best,

    Christine

    ReplyDelete
  22. Wallowing in self pretentiousness about the seriousness of the work is only limited by the perspective one labels it?:)

    That then becomes your world.

    How serious are you?:)

    Years spent is only measured by the labels one applies. Of course that is your "point of view.":)

    ReplyDelete
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    ReplyDelete
  24. If you do a blog on quantum mechanics foundations, perhaps you could include some assessment of the potential impact of the Kocsis et al paper just published in Science [6/3/11 issue].

    Trajectories? Pilot waves?

    Interesting!

    ReplyDelete
  25. I'm 5 steps away from Einstein and I'm not even a physicist !

    My Erdos number is 4, I'm 4 steps away from Richard Courant, 5 steps away from Scroedinger, 5 away from Bethe, and 5 away from Heisenberg.

    And I'm not even famous :-)

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  26. Hi Bee,

    Some may find it interesting that when I plug in Bohr, N and Einstein, A I’m greeted with the response “No Path Found”. Now why do I not find this as so surprising ;-)

    Best,

    Phil

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  27. Now why do I not find this as so surprising ;-)

    Because you haven't published anything ... yet, Phil ? That would be my ride.

    ReplyDelete
  28. Hi Steven,

    It gives me results for many other pairs I choose. That is I’m not checking my correspondence, but Einstein and Bohr’s. My suspicion is neither had people they were connected which each found as complimentary ;-)

    Best,

    Phil

    ReplyDelete
  29. My suspicion is neither had people they were connected which each found as complimentary ;-)

    Physics joke, Phil? You're started to scare me bro, I may have found the one person on the planet ever geekier than me. :)

    ReplyDelete
  30. I'm at six steps from both Dirac and from Bee :)

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  31. I am not sure how this works either.

    Donald Coxeter with Paul Erdos.


    What is the collaboration distance?

    Was doing some reading from King of Space, by Siobhan Roberts, Donald Coxeter, the Man Who Saved Geometry.

    Pg 33, and you can qualify the statement made there?

    Best,

    ReplyDelete
  32. Here is another tool with a fancy graphical representation of the link:

    http://academic.research.microsoft.com/VisualExplorer

    But IMO the data base is a bit shaky, and who is "Max v Laue Str" ;-)?

    Cheers, Stefan

    ReplyDelete
  33. Stefan I don't know what that links about because I was asked to download something called Microsoft Internet Explorer Silver light (what is that?) and ever bell and whistle on my computer went off warning me not to.

    from Wikipedia:

    "Max Theodor Felix von Laue (9 October 1879 – 24 April 1960) was a German physicist who won the Nobel Prize in Physics in 1914 for his discovery of the diffraction of X-rays by crystals. In addition to his scientific endeavors with contributions in optics, crystallography, quantum theory, superconductivity, and the theory of relativity, he had a number of administrative positions which advanced and guided German scientific research and development during four decades. He was instrumental in re-establishing and organizing German science after World War II. He was strongly opposed to National Socialism."

    ReplyDelete

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