Skip to main content

Lost in Math - Sabine Hossenfelder *****

One of my favourite illustrations from a science title was in Fred Hoyle's book on his quasi-steady state theory. It shows a large flock of geese all following each other, which he likened to the state of theoretical physics. In the very readable Lost in Math, physicist Sabine Hossenfelder exposes the way that in certain areas of physics, this is all too realistic a picture. (Hossenfelder gives Hoyle's cosmological theory short shrift, incidentally, though, to be fair, it wasn't given anywhere near as many opportunities to be patched up to match observations as the current version of big bang with inflation.)

Lost in Math is a very powerful analysis of what has gone wrong in the way that some aspects of physics are undertaken. Until the twentieth century, scientists made observations and experiments and theoreticians looked for theories which explained them, which could then be tested against further experiments and observations. Now, particularly in particle physics, it's more the case that physicists dream up whole rafts of theory supported only by mathematics, much of which can never be experimentally confirmed, and what can be checked is often so expensive to work on that only a very small number of possibilities can be examined. 

It's the maths (if we're talking beauty, I have to confess I find 'math' a very ugly word) that is in the driving seat, which surely is wrong. As Hossenfelder points out, string theory works best if the cosmological constant value that reflects the expansion or contraction of the universe is negative. Unfortunately it's actually positive, but most string theorists spend their time working with a negative cosmological constant. It can make for beautiful mathematics - but has nothing to do with our universe.

It's also the case that the vast majority of theoretical advances in physics were made by individuals, where now most theoreticians work in teams - it's tempting to wonder, if a camel is a horse designed by committee, what is a theory developed by group consensus?

Hossenfelder repeatedly comes back to two measures used to test theories - beauty, which is inevitably a subjective phenomenon, even though there is some agreement of what is required for beauty - and naturalness, which appears more scientific as it involves numbers, but relies on a bizarre confidence that values in nature that are dimensionless (for example ratios of masses) should be Goldilocks-like in not being too big or two small, but should be around the value of 1. The physicists she speaks to through the book (nearly all male), often seem to cling onto these measures without being able to justify them, other than saying that everyone else likes them too. There are some attempts - one suggests the appeal to beauty is an evolutionary response to a successful theory, but that only shows a weak understanding of evolution (though evolutionary developments can, at least, probably explain the physicists' love of symmetry - and it's not because nature has to be that way, but because we find symmetrical faces attractive).

Vast amounts of physicist-hours are being put into theories such as string theory, which seems pretty much incapable of doing the main job it is supposed to (though does have some side benefits), or defending the extension of the standard model of particle physics called supersymmetry, even as more and more evidence suggests it is unlikely to be true. Hossenfelder shows that clinging to theories past their sell-by date is almost inevitable because physicists are people too. If you've spent half your career on a theory, you don't give it up easily, even though scientists are supposed to love falsification. And if hundreds of other people (remember the geese) are working on a particular theory, surely it must have some substance behind it? One thing the book doesn't mention, but may be worth thinking about, is perhaps there are too many theoretical physicists? Hossenfelder points out in a period of about a year when the LHC produced data that looked interesting but turned out to be a statistical fluctuation, 500 papers were published exploring this non-event theoretically, many published in top journals.

Relatively briefly, Hossenfelder also examines the aspects of modern academic scientific life that make it hard to give the amount of time to actually working on theory that should be the case, citing estimates of around 40% going to actual work (another 40% going to grant applications). The processes required to get funding also tend to work against original thinking and deviating from the goose flock - there seems little doubt that this structure makes a large negative contribution to the whole business, though no one seems to have an answer to the problem.

The only negative I have with the book is that Hossenfelder, like many practising physicists, struggles to explain some of the actual physics in a way that conveys any meaning to the general reader. Luckily, this is not essential here - this is not a book to learn about physics, but about the way modern physicists work. Interestingly, Hossenfelder complains that 'popular science books about special relativity are often full of rocket ships and satellites passing each other. But all of this is unnecessary decoration. Special relativity follows from the three symmetries [she lists] above, without twins in spaceships and laser clocks and all that.' While this is true, the way symmetries are used here is an argument that is near-impossible to follow for a non-mathematician. The twins paradox and light clocks make it much easier for the rest of us to get a grip on the subject (and, to be fair, my undergraduate special relativity textbook makes use of both, so it's not just popular science doing  it).

Inevitably there will be a widespread negative reaction from the physics community (which has already started) - but this is not surprising when Hossenfelder is attempting to burst a self-reinforcing social bubble just as powerful as those that surround American political parties. The knee-jerk reaction is always to deny there's anything wrong - yet here it seems so obviously a case of the emperor's new clothes. 

Some readers may take this book to be an anti-science one - but it really isn't. Hossenfelder is merely pointing out a deep problem in some parts of physics, but she in no way undermines the remarkable scientific discoveries that have come from centuries of physics (and applications we benefit from as a result of some of them). Rather, she is saying that people in her profession need to step back from the coalface and take stock of what they are really doing and whether this particular approach really makes sense. True creativity often requires this - but most of us find it difficult to do. And it's about time a physicist said this.

Highly recommended (and very brave).


Hardback:  


Review by Brian Clegg

Comments

Popular posts from this blog

Beyond Weird - Philip Ball *****

It would be easy to think 'Surely we don't need another book on quantum physics.' There are loads of them. Anyone should be happy with The Quantum Age on applications and the basics, Cracking Quantum Physics for an illustrated introduction or In Search of Schrödinger's Cat for classic history of science coverage. Don't be fooled, though - because in Beyond Weird, Philip Ball has done something rare in my experience until Quantum Sense and Nonsense came along. It makes an attempt not to describe quantum physics, but to explain why it is the way it is.

Historically this has rarely happened. It's true that physicists have come up with various interpretations of quantum physics, but these are designed as technical mechanisms to bridge the gap between theory and the world as we see it, rather than explanations that would make sense to the ordinary reader.

Ball does not ignore the interpretations, though he clearly isn't happy with any of them. He seems to come clo…

Mercury - William Sheehan ****

Driving to work one morning several years ago, I spotted a tiny white dot close to the rising sun. ‘That’s Venus,’ I said to myself. Almost immediately I saw another, much brighter dot a few degrees away. ‘No, that’s Venus – the first one must be, um ... Mercury.’ Even with a lifelong interest in astronomy, I always manage to forget Mercury.

With eight planets in the Solar System, one of them has to be the least interesting – and Mercury got the short straw. That’s a relative statement, though, and a diligent author could still dig up enough fascinating facts about that tiny dot by the Sun to fill a short book. William Sheehan has done a brilliant job of doing just that.

One of the reasons Mercury is so easy to forget is that it’s almost impossible to get a good view of it from Earth. Even after the invention of the telescope, which turned planets like Mars and Jupiter into explorable worlds, Mercury remained a mystery – and the subject of some pretty wild speculations. In 1686, for exa…

Everything You Know About Planet Earth is Wrong - Matt Brown ****

This is the latest of a series of 'Everything You Know About... is Wrong' books from Matt Brown. Although I always feel slightly hard done by as a result of the assertion in the title, as there are certainly things here I know that aren't wrong (I mean, come on, the first corrected piece of 'knowledge' is that 'The Earth is only 6,000 years old' and I can't imagine many readers will 'know' that), it's a handy format to provide what are often surprisingly little snippets of information that are very handy for 'did you know' conversations down the pub (or showing up your parents if you're a younger reader).

Some of the incorrect statements that head each article are well-covered, if often still believed (for example, people thought that world was flat before Columbus), some are a little tricksy in the wording (such as seas have to wash up against land) and some are just pleasantly surprising (countering the idea that gold is a rar…