Free diving purists—Segura included—regard oxygen-aided holds as something of a stunt. "It's kind of like doping," he says, allowing divers to more than double the volume of oxygen stored in their lungs. Does it violate the spirit of the sport? Sure. "But a 24-minute breath-hold is an interesting achievement, from a physiological perspective."
That's one way to look at it. A 24-minute breath hold is also damn impressive. Not just physiologically, but statistically. In fact, it raises tantalizing questions about the discipline's physiological limits.
World record progressions tend to follow a flattened, S-shaped curve. "They improve slowly at first, then rapidly, then slowly again as competitors approach the physiological limit of what's possible," says Alan Nevill, a mathematician at the University of Wolverhampton who has modeled the progressions of dozens of world records. In other words: Athletic records don't improve linearly. If they did, there would be no limit to human performance, and we could expect people to one day run the marathon in a matter of minutes, instead of a couple hours.
The limits of oxygen-aided breath-holding are less clear—but something interesting happens when I ask Nevill to model the discipline's record progression using an S-shaped curve. "I've never had such a good fit," he says. In other words: His statistical model matches the progression of actual world records very closely (the statisticians among you will be impressed by the R-squared value of .992). Or rather, all of the records but one.
Segura's 24:03 breath hold, Nevill says, is significantly longer than the model's predicted limit of 23 minutes 44 seconds. See that final data point hovering above the red curve? That's a serious outlier. It's not unreasonable to expect records to improve dramatically in the middle of the curve (as with the first data point over 15-minutes). But increases at the right-hand side of the curve, where it begins to flatten, should come gradually and infrequently. And yet, in February of last year, Segura bested his previous record—which he'd set just two weeks prior—by nearly a minute. "I don't know how or what he did, but it led to a very unusual performance," Nevill says. "I don't think there's much more that I as a statistician can say, because he's done something rather exceptional."
When I tell Segura about Nevill's model, he laughs. "This guy should see what I do in training—then he would know his line is not a perfect prediction," he says. In fact, Segura says he's held his breath quite a bit longer in practice than he did in his last official record attempt. He won't share how much longer, exactly, but free divers often report better times in training than in competition. The pressure interferes with their ability to relax, which has a negative impact on their performance.
I ask Segura whether he thinks anyone will break his record. Of course, he says. But as soon as somebody does, he'll fight back. As for what the upper limit is, he's unsure, but bullish. "I don't know. Half an hour? I think more." Freedivers, he says, have always defied limits, defied scientific understanding. In the 1940s, researchers believed the pressure 100 feet below sea level would rupture a diver's lungs. Today, freedivers routinely plunge unassisted to depths in excess of 300 feet. "We always think we've reached the limit," Segura says. "But we're always wrong."