
ON 17 April, North Korea’s deputy ambassador to the UN gave a tense press conference. The US was insisting that North Korea scale down its nuclear programme, and this, said Kim In-ryong, had created a situation in which “thermonuclear war may break out at any moment”.
It was not the first time such warmongering talk had come from North Korean diplomats, but concerns over nuclear war have rarely been higher. Donald Trump has warned of a “major, major conflict” with the country.
On the face of it, such tensions might seem to bolster the case for maintaining a nuclear deterrent in the West. Recent arguments in the UK in particular about replacing the ageing submarines that carry the country’s Trident nuclear missiles are part of that wider debate.
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But what if those submarines are lame ducks? A rumour has circulated since the cold war that subs, often considered the epitome of military stealth, can in fact be tracked. If that’s true, and there are fresh hints that it could be, it overturns an opinion that has largely held sway among military analysts for nearly 50 years – and changes the terms of debates about nuclear deterrence entirely.
It was the 1960 book The Strategy of Conflict by economist Thomas Schelling that put forward the first rigorous analysis of strategies for preventing nuclear war. Schelling used game theory to introduce the idea of a “credible commitment”. This principle says the US must be locked into ordering a retaliatory strike if it is hit by a nuclear missile. This guarantee of a counter-strike is supposed to deter the use of nuclear weapons in the first place.
For the commitment to be credible, the nuclear missiles must be constantly available at a moment’s notice. This led the US to introduce a “nuclear triad”, in which nuclear missiles are kept at military bases, on aircraft and on submarines. The thinking goes that no state could disable them all at once, and render themselves immune to retaliation. In theory, Shelling’s principles still apply today.
Ear on the deep
Submarines are the critical leg of the triad because they are supposedly well nigh impossible to pinpoint. So much so that the UK doesn’t bother with the other legs at all, keeping all its missiles aboard submarines. “The maritime element remains the most survivable part of any nuclear triad – a fact unlikely to change in the immediate future,” says Peter Roberts at the UK’s Royal United Services Institute (RUSI), a defence think tank. Disappearing into the vast ocean, “submarines on patrol are remarkably difficult to find”.
That’s not to say subs are undetectable. Sonar can reveal a sub if it is within about 15 kilometres, depending on the ocean conditions. Starting in the 1950s, the US also used an to listen for Soviet submarines. This exploited a layer of water about 1 kilometre down where sound carries especially well, and allowed subs to be heard hundreds of kilometres away. That still left a lot of ocean to hide in, though.
The USSR explored an alternative way to find subs during the cold war when it was lagging behind with sonar technology. This involved identifying the wake of disturbed water submarines leave behind them, which would create a pattern that rises to the ocean’s surface. According to the cold war historian and ex-US Navy analyst Norman Polmar, a task force was set up in the early 1960s within the Soviet Union’s council of science to look into whether it was possible. The Soviets later claimed to be able to track wakes with ship-based radar, with aircraft and even from satellites. Their own submarines were fitted with comb-shaped SOKS or Snegir (meaning “bullfinch”) sensors, which supposedly allowed them to secretly tail NATO submarines for days at a time.
Scientists in the West were sceptical of all this. Submarines certainly leave a trail of turbulent water immediately behind them, but according to the accepted understanding of turbulence it ought to disperse and merge with other currents within minutes. Think sloshing your hand around in a bath tub. The turbulent flow you produce breaks down into smaller and smaller streams, eventually fading into nothing.
But is that true under all circumstances? Turbulence is one of the trickiest unsolved problems in physics. When a thick fluid like honey flows, we know where we are. But with less-viscous fluids like water, the movements can become unpredictable. We have equations that describe this turbulent flow, but they can’t be solved exactly, meaning that we’re not certain they capture what is happening.
In 1963, , an oceanographer at the University of California, San Diego, looked at turbulence in wind tunnels, water tunnels and tidal channels and became convinced that the data didn’t fit the expected pattern. Instead, he points to the existence of “fossil turbulence”, an idea first mentioned in the 1950s by George Gamow, a Russian physicist living in the US.
Gamow was talking of of the turbulent gas flows in the young cosmos. But Gibson has extended the idea: “Turbulence always starts with eddies forming at small scale and cascades to larger scales,” he says.
This is the reverse of the accepted understanding of turbulence – that energy dissipates from large to small scales, says who studies turbulence at the University of Cambridge. But this is a net effect and recent computer modelling studies now suggest “backscattering” of a small amount of energy to larger scales is possible.
Gibson’s idea is that those spinning whorls of turbulence you can create with your hands in the bath will combine to produce larger and larger whorls over time. And he does have a little evidence to support these controversial thoughts.
In 2002, he joined an environmental research project studying the impacts of a waste water pipe in Mamala Bay, Hawaii. The team deployed a series of sensors to measure water velocity in three dimensions and Gibson used this to map the turbulence. He says the sensors picked up patterns of turbulence that increased in size as they rose to the surface.
He then analysed satellite photographs of the sea, looking for tiny changes in the brightness of the surface. Despite the pipe being 70 metres underwater, he reported in a 2005 paper that those anomalies were there, and that they . Signs were visible on the surface as far as 12 kilometres away from the pipe.
This means fossil turbulence is real, says Gibson, and submarines could be tracked via their wakes. True, subs typically cruise at a depth of about 300 metres, but Gibson insists his extrapolation should hold. “The fossil turbulence remnants from a submarine persist for many days,” he says. “The Russians have understood this from the beginning, but have considered all their progress to be important state secrets.”

Recently there have been hints that the US Navy is also waking up to wakes. It funds firms to carry out research through a government scheme called Small Business Innovation Research. from show that the Navy contracted a firm called in Falls Church, Virginia, to develop models of various ways a sub might be detected (see “How to track a sub”). One of them is how underwater currents and turbulence might manifest themselves on the ocean surface.
The company declined an interview with Âé¶ą´«Ă˝. But military analysts are also sounding the alarm. “The Russian interests in this field are real,” says Polmar. “Some of their accomplishments are impressive, and a concern to US and British officials.”
Even if he’s wrong, the worries over submarine tracking aren’t over. at Georgetown University’s Center for Security Studies in Washington DC points out that a , including underwater drones, have evolved to the point at which submarine undetectability is no longer a given.
“If fossil turbulence is real, submarines could be tracked via their wakes”
This casts a shadow over the NATO efforts to create stealth submarines that are invisible to sonar. If Polmar and Gibson are right, then perhaps more focus should be on finding ways of reducing the wake that submarines create. That, it seems, is what the Russians have done. “Many Russian submarines have vortex attenuators on their screws and small vortex-unwinding propellers,” says independent naval analyst Jacob Gunnarson in Williamsburg, Virginia.
It’s enough to give us pause over UK government plans to upgrade its nuclear deterrent. The planned four new Dreadnought class subs will cost upwards of £31 billion. A released in 2016 says: “It is unlikely there will be any radical technological breakthrough which might diminish materially the current advantages of the submarine or make the oceans transparent.” That statement now looks just a tiny bit less certain.
How to track a sub

We don’t know for sure whether the Russians are able to track submarines by spotting their wakes (see main story). But no matter: there are other ways to find these metal leviathans.
One method emanates from the saltiness of seawater. The sodium and chlorine ions in the water have a charge, and when something disturbs the water the ions move at different rates because of their different masses. This Debye effect, known since the 1930s, sets up a magnetic field. The magnetic signature left by a submarine was thought to be vanishingly faint, but a paper published by the British Defence Research Agency in 1996 suggested . The US Navy has picked up this idea, and since 2009 has commissioned studies from Cortana Corporation .
There is another option, which depends on another unique property of the seawater. The ocean contains distinct layers of water, with the warmest and least dense at the top. Ships, whales and submarines disturb these layers, pushing colder water upwards and creating a thermal scar on the surface.
Jordan Peckham at the Memorial University of Newfoundland in Canada and his colleagues have looked at inexpensive ways to spot home-made submarines that are packed with cocaine for smuggling trips to other countries. In 2013, they showed that a a few metres beneath the surface. It also works in practice: the US Coast Guard uses P-3 Orion aircraft equipped with thermal imagers to .
Seeing submarines at depths of several hundred metres is another matter. But nuclear submarines need to dissipate megawatts of heat from their reactors. Seawater is used for cooling, and subs leave a slowly rising plume of heated water behind them. A Soviet study during the cold war estimated a nuclear submarine would leave a trail on the surface that differs by just 5 millikelvin from the background temperature, but which may persist for some hours.
Is that detectable? Commercial imagers can detect only a 20 mK difference at present, but better imagers are in the pipeline. “I can design a camera that can see 1 to 5 mK pretty easily” using emerging technology, says Ron Driggers, CEO of .
This article appeared in print under the headline “Dead in the water”