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Turbulence is a familiar fact of life for air travellers. But in reality, the pockets that we experience in flight are an extreme example of something going on around us constantly. Meteorologically, turbulence is the non-linear movement of water and air in the atmosphere. Driven by the effects of sunlight and wind, it is the force that moves the weather around.
Associated both with patterns and with uncertainty, turbulence is also the operational force in many other areas of life. When we move in a crowd in a city, we are subject to turbulence. When a warm ocean current threatens the melting of icebergs, turbulence is part of the equation. Tsunamis in Sri Lanka, the inundation of towns on the Severn, the erosion of coastlines in East Anglia - all these processes involve a measure of turbulence. So, as we now know all too well, does economics.
In entitling his memoir The Age of Turbulence, the former chairman of the Federal Reserve, Alan Greenspan, was recognising that connection. Greenspan's book was published in September 2007. It was in mid-July of that year, while many people were on holiday, that the first signs of the credit crunch emerged. What it actually means to be in a turbulent economy is something that ordinary people, as well as politicians and economists, are still grappling with.
As a species, we are more comfortable with the notion of volatility as a temporary rupture in a mainly stable context than with the idea that turbulence might be the norm. Although we praise some individuals as “dynamic”, the true appreciation of life itself as dynamic is a quality rarely found. Requiring reality to organise itself intelligibly means closing down the field of possibility, something that turbulence is always seeking to open up.
The idea of a turbulent norm is not so paradoxical as it might seem. To understand why this should be so, you have to go back to the linguistic origins of turbulence. Derived from the Latin words for a crowd or disorderly motion (turba) and for a whirlwind or spinning top (turbo), turbulence was double-natured from the start. It expresses both shape (patterns in the crowd, or the temporary stability of the spinning top) and lack of shape (commotion in a crowd, or the moment when the spinning top begins to wobble). In both cases, factors of time and space are crucial.
As a word, turbulence came into general usage in English in the late 16th and early 17th century, mostly to describe political agitation, but also stormy weather. It appears in several Shakespeare plays. People will also be familiar with Henry II's much earlier (and perhaps apocryphal) cry of frustration about Thomas à Becket: “Will no one rid me of this turbulent priest?” But one shouldn't just think of turbulence as troublesome. In systems theory, turbulence is what happens when organisation breaks down at the edges of systems, enabling new types of system to be born.
We seem to be going through such a period of transition now. I suppose I might have had some vague intuition of this when, about seven years ago, I began a novel about the D-Day weather forecast, entitled Turbulence. But the main reason I wrote the book was a family connection which led to a writer's exciting encounter with hard science.
Even in that arena, turbulence contains many mysteries. It has been described as “one of the last great problems in classical physics”. Albert Einstein is said to have joked: “Before I die, I hope someone will clarify quantum physics for me. After I die, I hope God will explain turbulence to me.”
One aspect of the mystery is turbulence's partial predictability, the way it sometimes seems to resolve into a pattern, sometimes not. This intermittency is innate, but also concerned with the position of the observer: turbulence changes according to the period over which it is observed, and also according to the vantage point from which observation takes place.
With turbulence, the time-space meter is always ticking, bringing new weather, new information that alters the relationship between a given pattern and a given context. New information, yes, but what does it mean? And now already both givens are gone, irretrievably mixed with each other, busy making new weather elsewhere.
It was my father-in-law, Julian Hunt, who introduced me to this evanescent world of fleeting patterns. Walking on Hampstead Heath in London or across the rolling hills of north Devon, he would explain aspects of weather which I had no doubt seen before but not fully absorbed, still less understood. His observations were unusually acute, touching on practice as well as theory. In addition to having been an academic in this field (at Cambridge, University College London and other institutions abroad), Hunt was also the director of the Meteorological Office.
Active in politics in local government and the House of Lords as well as in science, he is someone who for many years has striven to overcome the split between science and arts identified by C.P.Snow as “the two cultures”. Snow's novel The Search is a favourite title of my father-in-law's, best describing, as he once put it to me, “what it is actually like to work in a lab, at a bench”.
Slowly the idea grew that I might try to convey some of all this in a novel of my own. In The Last King of Scotland and other books, I had written mainly about the colonial and post-colonial situation in Africa. Now I was casting around for a new subject, and suddenly here one was. A novel of the atmosphere.
I began to look at examples of the scientific novel. These included such titles as Sinclair Lewis's Arrowsmith and the tradition of scientific romance associated with Jules Verne, H.G. Wells and others. I also became aware of the prevalence of the turbulence's characteristic shape - the spiral or whorl - in literary history. It's there in Dante, Poe and Mallarmé. It's there in Yeats's gyre and Conrad's Typhoon.
I realised I had set myself a large task, even with the help of a guru. It was going to be difficult to dramatise the hypothetical nature of the scientific project, and hard to avoid the caricature of the mad scientist. Almost from Frankenstein on, the depiction of scientists in fiction has tended to be driven by public fear of science rather than what scientists actually do.
I certainly didn't expect my subject matter as well as my theme to emerge directly from my in-laws. In 1909, Hunt's great-aunt married a man who was to have a profound effect on the history of science. Lewis Fry Richardson (1881-1953) worked in many fields, but he is recognised primarily for his theories of turbulence and his working out of the numerical system on which all modern weather forecasting depends.
I feel privileged to have been introduced to him, even if by proxy. Hunt spent school holidays with Richardson as a young boy. From him and other sources, I feel I got a real flavour of a man whose enthusiasm for science clearly ignited that of my father-in-law, just as he would ignite mine in turn.
A pacifist Quaker, and uncle of the actor Ralph Richardson, Lewis Fry Richardson was a major figure in the Met Office in the 1920s. He left that organisation when he discovered that his work was secretly being used for chemical warfare. During the First World War, while working as an ambulance driver on the Western Front, he devised a mathematically based system that tried to encompass all aspects of weather forecasting.
Assigning numerical values to the physical quantities of weather, Richardson's system was an attempt at coherence - at getting as near as possible to a total picture of the mutability of the atmosphere. He envisaged banks of mathematicians working in a “forecast factory”, in a space something like the Albert Hall, with a “conductor” shining a beam of light on different areas of the arena to give instructions.
The forecast factory was a fantasy that technology would eventually make possible. One of the reasons Richardson is not well known is that his system could not be properly applied until powerful computers came along in the 1960s, and indeed, only last week the Met Office unveiled a £33 million supercomputer, capable of performing 125 trillion calculations per second; the IBM machine occupies two halls, each the size of a football pitch, at the Met Office's headquarters in Exeter. It will use 1.2 megawatts of power, enough for a small town. This is the kind of power of which Richardson could only have dreamt.
Another cause of his relative obscurity is that he became something of a recluse, retreating - after a career teaching at Paisley Technical College - to the village of Kilmun in western Scotland, where he worked quietly on his own until his death. A good deal of his time was spent applying maths to other areas than weather, in particular to the frequency and likelihood of wars. He is one of the founding fathers of peace studies as well as of meteorology.
Richardson also discovered the “Richardson number”, which is a dimensionless co-ordinate enabling different areas of turbulence to be compared, wherever they occur in time or space. For fluid dynamicists, the Richardson number was the Holy Grail. In my novel, it becomes an object of narrative pursuit, in so far as the protagonist, a young Met Office employee called Henry Meadows, is sent to Scotland to elicit information about the number from a figure loosely based on Richardson.
The reason Meadows must seek out this information relates to the most crucial piece of meteorology of modern times, the weather forecast for D-Day. The invasion of mainland Europe involved the largest amphibious military operation in history, that much we all know. What is less well known are the exact details of the drama of the weather forecast for the operation.
In May and June 1944, as General Eisenhower and other members of the Supreme Allied Command were pressing for a safe date for invasion of mainland Europe, arguments between the forecasters associated with the assault were furious. It didn't help that their discussions were conducted by scrambler telephone between various locations by people of different nationalities - British, American and Norwegian - with radically different scientific philosophies.
As for the weather itself that long-ago summer, it was unusually - there is no other word for it - turbulent. The chances of meeting the minimum weather requirements for the invasion were slight.
In the event, during the night of June 3 and the early hours of June 4, Eisenhower postponed on meteorological advice the invasion of Normandy planned for June 5, before putting it on again for June 6. Again this was on the advice of his weather forecasters. The principal forecasters were Charles Douglas, Irving Krick, Ben Holzman and Sverre Petterssen, together with contributions from the Royal Navy by Lawrence Hogben and others. These weather warriors were led by James Stagg, who was, in fact, not a forecaster but an expert in geomagnetism - this was one of the reasons for the rancour.
Even though it wasn't employed theoretically, the operation behind the D-Day forecast effectively put into action aspects of Richardson's coherent scheme. It was the total meteorological effort of the Allies in Europe that made the forecasts accurate: observers on meteorological reconnaissance flights over the Atlantic; agents making observations in enemy-held territory and transmitting them by radio; those breaking the German ciphers at Bletchley Park so that weather observations from U-boats were available; the telecommunications staff in camouflaged huts at Met Office headquarters in Dunstable and at the Citadel of the Admiralty in Whitehall.
Even with all that operational back-up, it is impossible to overemphasise the difficulty of the task facing D-Day forecasters. They were testing the limits of predictability: five days' lead time was needed for the invasion, and at that time it was possible only to forecast accurately about two days ahead. Like all forecasters, they were limited by the mysterious nature of turbulence.
Research continues. I was excited to hear that in conjunction with colleagues in the US, Europe and Japan, Julian Hunt has devised a new theory of turbulence. Perhaps one day some of the questions about turbulence that made Einstein want to ask God about it will be answered. But I doubt they will ever be answered in full.
Turbulence by Giles Foden
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