The EBS Club and how to blag your way in

Len Fisher is to blame for hooking me into the terrible narcissism that goes under the name of the EBS number. It’s the elite (pantomime boo and hiss!) version of the Kevin Bacon Game, or of the Erdős Number, by which you trace how many collaborations it takes to link you to actor Kevin Bacon (if you’re in the movies) or to mathematician Paul Erdős (if you’re in maths or some vaguely mathematical branch of science). There’s your E and B. The S is the fun one: how many links does it take to link you to doyens of Midlands heavy metal Black Sabbath? Your EBS number is the sum of the three.

Len explains the idea here. Elsewhere we’re told, rather flatteringly, that “To even have an Erdős-Bacon-Sabbath number puts you in quite an exclusive club” – one that includes the likes of Stephen Hawking, Richard Feynman and Brian May. Not surprisingly, it’s a club many will be keen to get into, and I sense a degree of fudging going on. Apparently as long as you’ve sat on a couch and chewed the cud with a film star, or been sampled in some portmanteau song, you can claim to have a B or an S. Or even a BS.

Being unable to resist this prod to my competitive bone (gland, more probably), I started pondering. I can get to an EBS of 15 without too much of a stretch – and that is by considering actual co-appearances in a movie or playing together in a band onstage, not (for example) appearing in the same chat show. I haven’t done a great deal of work on the Erdős number, other than to note that my coauthor Jean-Marie Lehn (“Supramolecular chemistry”, The New Chemistry, ed. N. Hall; Cambridge University Press, 2000) has an EN of 5 – so that makes mine no more than 6. It may be that I could do better via my PhD supervisor Bob Evans, as he’s a theoretical physicist.

For my Bacon Number, I had the questionable honour of appearing in an obscure little movie called The Undertakers (in which I played a member of rock band Hot Nun) with my old school friend Suri Krishnamma, who went on to become a well respected film director who has worked with the likes of Albert Finney (→ Marisa Tomei → Kevin Bacon) and Ray Liotta (→ Ryan Reynolds → Kevin Bacon). So I get a BN of 4.



For my Sabbath number, I could bend the rules and claim an SN of 2 via veteran BBC producer Tony Wilson, who produced both my 1985 Radio 1 session and every other major rock band of the 1970s and 80s, including at least one Sabbath session. But I think it’s more in the spirit of the thing to cite a gig I played in the same year with session guitarist Bruce Roberts, a legend on the Southampton music scene (whose band used to rehearse in the flat upstairs from the one we rehearsed in – you wouldn’t have wanted to live in Cranbury Place in 1984-5). Bruce played in the Jess Roden Band, among many others (he supported the likes of the Who and Alex Harvey and played with Ben E. King and Bryan Ferry). So thanks to him, I’m off and running: Jess Roden sung with Paul Rodgers on Paul Kossoff’s solo album Back Street Crawler, Rodgers temporarily took the place of the late Freddie Mercury in Queen, and from Queen it’s an easy step to Sabbath. So there’s a SN of 5.



I did consider trying via Portishead guitarist Adrian Utley, with whom I played in a gig in Bristol. But Adrian moves on other circles, so it’s a circuitous route. I do, however, still have a recording of that gig, and so you can hear what happens when the ridiculously talented Utley steps up to a solo and wipes everyone else from the stage. It was breathtaking.

So there you are: what I’d claim is a bona fide EBS number of 15. And what does that mean? The answer, of course, is very little. Plenty of top scientists have an Erdős number bigger than mine. More to the point, even if my BN and SN are valid, they come from fleeting associations that really say nothing about any putative “polymathic” skills. My encounters with Bruce and Adrian taught me only the difference between a musician kind of competent enough to get away with playing in public, and one who will make an impact – even a small one, in Bruce’s case – on the music business. As for my dramatic prowess in The Undertakers, the less said the better. These metrics are really an exercise in clinging to celebrity by one’s fingertips. Or to put it more positively, they offer a fun excuse to return to some of the more curious avenues of one’s path through life.

At the same time, this little exercise supports what Mark Granovetter said in 1973 about “the strength of weak ties” in social networks. Granovetter pointed out that many social networks consist of strongly connected local clusters – a group of closely connected individuals – linked to one another via weak ties. It’s these weak ties between communities, he said, that join them into a single network. I can’t claim to be deeply embedded in the movie or music communities in the way that I am in science – but my connections to those other networks exist through rather fleeting, one-off and not particularly profound links (Suri is a lovely bloke, but I haven’t seen him for many years; Bruce, who died earlier this year, probably wouldn’t have known me from Adam a few weeks after that gig.)

And while EBS numbers are not at all of the same constitution as the infamous h-index and other metrics used to rank scientists, I can’t help suspecting that much the same applies to those: they can point to a varied and impactful career (see Hawking or May), but they can also rely to a fair degree on chance, happenstance, and being in the right place at the right time.

All the same, I just want Ozzy to know that I’m up for a jam. Anything to give me a smaller EBS number than Adam Rutherford.

More alternative heroes

It was fun to write this piece for Nautilus on who would have made some of the great discoveries in science if their actual discoverers had not lived. And very nice to see it is provoking discussion, as I’d hoped – there is nothing definitive in my suggestions. Here are two more case histories, for which there was not room in the final article.

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Fullerenes – Wolfgang Krätschmer and Donald Huffman

In 1985, British spectroscopist Harry Kroto visited physical chemists Richard Smalley and Robert Curl at Rice University in Houston, Texas, to see if their machine for making clusters of atoms could produce some of the exotic carbon molecules Kroto thought might be formed in space. Their experiments led to the discovery of hollow, spherical molecules called C60 or buckminsterfullerene, and of a whole family of related hollow-shell carbon molecules called fullerenes. They were awarded the 1996 Nobel prize in chemistry for the work.

Fullerenes had been seen before 1985; they just hadn’t been recognized as such. They can in fact be formed in ordinary candle flames, but the most systematic experiments were conducted in 1982-3 by experimental physicist Wolfgang Krätschmer at the Max Planck Institute for Nuclear Physics in Heidelberg, Germany. Krätschmer had teamed up with physicist Donald Huffman of the University of Arizona, for they both were, like Kroto, interested in the constituents of interstellar space.

Huffman studied dust grains scattered through the cosmos from which stars may form. He and Krätschmer began collaborating in the 1970s while Huffman was on sabbatical in Stuttgart, and initially they looked at tiny particles of silicate minerals. But Huffman believed that some of the absorption of starlight by grains in the interstellar medium could be due to tiny particles of something like soot in the mix: basically, flakes of graphite-like carbon.

In 1982 he visited Krätschmer to carry out experiments in which they heated graphite rods in a vacuum and measured the light absorbed by the sooty debris. They made and saw C60, which absorbs ultraviolet light at a particular wavelength. But they didn’t realize what it was, and decided their apparatus was just making unintelligible carbon “junk”.

It wasn’t until the duo saw the paper by Kroto and colleagues in 1985 that the penny dropped. But if it hadn’t been for that, the interest of astronomers in interstellar dust would probably have returned scrutiny anyway to those experiments in Heidelberg, and the truth would have emerged. As it was, the graphite-vaporizing equipment of Krätschmer and Huffman offered a way to mass-produce fullerenes more cheaply and simply than the Rice cluster machine. Once this was understood in 1990, fullerene research exploded worldwide.

Continental drift – Roberto Mantovani, or…

There are discoveries for the time seems right, and others for which it’s just the opposite. For one reason or another they are rejected by the prevailing scientific opinion, offering us the retrospective, appealingly tragic tale of the lone maverick who was spurned only vindicated much later, perhaps posthumously. That’s pretty much how it was for Alfred Wegener’s theory of continental drift. In the 1930s, Wegener, a German meteorologist (so what did he know about geology?), proposed that the Earth’s surface was not fixed, but that the continental land masses wander over time into different configurations, and were in the distant past disposed far from where they stand today. To doubt the evident solidity of the planetary surface seemed absurd, and it wasn’t until the discovery of seafloor spreading – the formation of fresh ocean crust by volcanic activity – in the 1960s that continental drift became the paradigm for geology.

In such circumstances, it seems rather unlikely that anyone else would have come up with Wegener’s unorthodox idea in his own era. But they did. Not just one individual but several others imagined something like a theory of plate tectonics in the early twentieth century.

The most immediate sign of continental drift on the world map is the suspiciously close fit of the east coast of South America with the west coast of Africa. But that line of argument, advanced by American geologist Frank Bursley Taylor in 1908, seems almost too simplistic. Taylor got other things right too, such as the way the collision of continents pushes up mountain ranges. But his claim that the movements were caused by the close approach of the moon when it was suddenly captured by the Earth in the Cretaceous period was rather too baroque for his contemporaries.

In 1911, an amateur American geologist named Howard Baker also proposed that the continents are fragments of an epicene supercontinent that was torn apart. His mechanism was even more bizarre than Taylor’s: the moon was once a part of the Earth that got ripped off by its rapid spinning, and the continents moved to fill the gap.

In comparison, the theory of Italian geologist (and violinist) Roberto Mantovani, first published in 1889 and developed over the next three decades, was rather easier to swallow. He too argued that the continents were originally a single landmass that was pulled apart thanks to an expansion of the Earth driven by volcanic activity. Wegener acknowledged some “astonishingly close” correspondences between Mantovani’s reconstruction and his own.

All of these ideas contain tantalizing truths: breakup of an ancient supercontinent (now called Pangea), opening of ocean basins, mountain building and volcanism as the driving force. (Even Baker’s idea that the moon was once a part of the Earth is now widely believed, albeit for totally different reasons.) But like a reconstruction of Pangea from today’s map, the parts didn’t fit without gaps, and no one, including Wegener, could find a plausible mechanism for the continental movements. If we didn’t have Wegener, then Mantovani, or even Taylor or Baker, could step into the same foundational narrative of the neglected savant. All intuited some element of the truth, and their stories show that there’s often an element of arbitrariness in what counts as a discovery and who gets the credit.