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Inside Climeworks’ big experiment to wrest carbon from the air

In the spring of 2021, the world’s leading authority on energy published a “roadmap” for preventing the most catastrophic climate change scenarios. One of its conclusions was particularly daunting. Getting energy-related emissions down to net zero by 2050, the International Energy Agency said, would require “huge leaps in innovation.”
Existing technologies would be mostly sufficient to carry us down the carbon curve over the next decade. But after that, nearly half of the remaining work would have to come from solutions that, for all intents and purposes, did not exist yet. Some would only require retooling existing industries, like developing electric long-haul trucks and carbon-free steel. But others would have to be built from almost nothing and brought to market in record time.
What will it take to rapidly develop new solutions, especially those that involve costly physical infrastructure and which have essentially no commercial value today?
That’s the challenge facing Climeworks, the Swiss company developing machines to wrest carbon dioxide molecules directly from the air. In September 2021, a few months after the IEA’s landmark report came out, Climeworks switched on its first commercial-scale “direct air capture” facility, a feat of engineering it dubbed “Orca,” in Iceland.
The technology behind Orca is one of the top candidates to clean up the carbon already blanketing the Earth. It could also be used to balance out any stubborn, residual sources of greenhouse gases in the future, such as from agriculture or air travel, providing the “net” in net-zero. If we manage to scale up technologies like Orca to the point where we remove more carbon than we release, we could even begin cooling the planet.
As the largest carbon removal plant operating in the world, Orca is either trivial or one of the most important climate projects built in the last decade, depending on how you look at it. It was designed to capture approximately 4,000 metric tons of carbon from the air per year, which, as one climate scientist, David Ho, put it, is the equivalent of rolling back the clock on just 3 seconds of global emissions. But the learnings gleaned from Orca could surpass any quantitative assessment of its impact. How well do these “direct air capture” machines work in the real world? How much does it really cost to run them? And can they get better?
The company — and its funders — are betting they can. Climeworks has made major deals with banks, insurers, and other companies trying to go green to eventually remove carbon from the atmosphere on their behalf. Last year, the company raised $650 million in equity that will “unlock the next phase of its growth,” scaling the technology “up to multi-million-ton capacity … as carbon removal becomes a trillion-dollar market.” And just last month, the U.S. Department of Energy selected Climeworks, along with another carbon removal company, Heirloom, to receive up to $600 million to build a direct air capture “hub” in Louisiana, with the goal of removing one million tons of carbon annually.
Two years after powering up Orca, Climeworks has yet to reveal how effective the technology has proven to be. But in extensive interviews, top executives painted a picture of innovation in progress.
Chief marketing officer Julie Gosalvez told me that Orca is small and climatically insignificant on purpose. The goal is not to make a dent in climate change — yet — but to maximize learning at minimal cost. “You want to learn when you're small, right?” Gosalvez said. “It’s really de-risking the technology. It’s not like Tesla doing EVs when we have been building cars for 70 years and the margin of learning and risk is much smaller. It’s completely new.”
From the ground, Orca looks sort of like a warehouse or a server farm with a massive air conditioning system out back. The plant consists of eight shipping container-sized boxes arranged in a U-shape around a central building, each one equipped with an array of fans. When the plant is running, which is more or less all the time, the fans suck air into the containers where it makes contact with a porous filter known as a “sorbent” which attracts CO2 molecules.

When the filters become totally saturated with CO2, the vents on the containers snap shut, and the containers are heated to more than 212 degrees Fahrenheit. This releases the CO2, which is then delivered through a pipe to a secondary process called “liquefaction,” where it is compressed into a liquid. Finally, the liquid CO2 is piped into basalt rock formations underground, where it slowly mineralizes into stone. The process requires a little bit of electricity and a lot of heat, all of which comes from a carbon-free source — a geothermal power plant nearby.
A day at Orca begins with the morning huddle. The total number on the team is often in flux, but it typically has a staff of about 15 people, Climeworks’ head of operations Benjamin Keusch told me. Ten work in a virtual control room 1,600 miles away in Zurich, taking turns monitoring the plant on a laptop and managing its operations remotely. The remainder work on site, taking orders from the control room, repairing equipment, and helping to run tests.
During the huddle, the team discusses any maintenance that needs to be done. If there’s an issue, the control room will shut down part of the plant while the on-site workers investigate. So far, they’ve dealt with snow piling up around the plant that had to be shoveled, broken and corroded equipment that had to be replaced, and sediment build-up that had to be removed.

The air is more humid and sulfurous at the site in Iceland than in Switzerland, where Climeworks had built an earlier, smaller-scale model, so the team is also learning how to optimize the technology for different weather. Within all this troubleshooting, there’s additional trade-offs to explore and lessons to learn. If a part keeps breaking, does it make more sense to plan to replace it periodically, or to redesign it? How do supply chain constraints play into that calculus?
The company is also performing tests regularly, said Keusch. For example, the team has tested new component designs at Orca that it now plans to incorporate into Climeworks’ next project from the start. (Last year, the company began construction on “Mammoth,” a new plant that will be nine times larger than Orca, on a neighboring site.) At a summit that Climeworks hosted in June, co-founder Jan Wurzbacher said the company believes that over the next decade, it will be able to make its direct air capture system twice as small and cut its energy consumption in half.
“In innovation lingo, the jargon is we haven’t converged on a dominant design,” Gregory Nemet, a professor at the University of Wisconsin who studies technological development, told me. For example, in the wind industry, turbines with three blades, upwind design, and a horizontal axis, are now standard. “There were lots of other experiments before that convergence happened in the late 1980s,” he said. “So that’s kind of where we are with direct air capture. There’s lots of different ways that are being tried right now, even within a company like Climeworks."
Although Climeworks was willing to tell me about the goings-on at Orca over the last two years, the company declined to share how much carbon it has captured or how much energy, on average, the process has used.
Gosalvez told me that the plant’s performance has improved month after month, and that more detailed information was shared with investors. But she was hesitant to make the data public, concerned that it could be misinterpreted, because tests and maintenance at Orca require the plant to shut down regularly.
“Expectations are not in line with the stage of the technology development we are at. People expect this to be turnkey,” she said. “What does success look like? Is it the absolute numbers, or the learnings and ability to scale?”
Danny Cullenward, a climate economist and consultant who has studied the integrity of various carbon removal methods, did not find the company’s reluctance to share data especially concerning. “For these earliest demonstration facilities, you might expect people to hit roadblocks or to have to shut the plant down for a couple of weeks, or do all sorts of things that are going to make it hard to transparently report the efficiency of your process, the number of tons you’re getting at different times,” he told me.
But he acknowledged that there was an inherent tension to the stance, because ultimately, Climeworks’ business model — and the technology’s effectiveness as a climate solution — depend entirely on the ability to make precise, transparent, carbon accounting claims.
Nemet was also of two minds about it. Carbon removal needs to go from almost nothing today to something like a billion tons of carbon removed per year in just three decades, he said. That’s a pace on the upper end of what’s been observed historically with other technologies, like solar panels. So it’s important to understand whether Climeworks’ tech has any chance of meeting the moment. Especially since the company faces competition from a number of others developing direct air capture technologies, like Heirloom and Occidental Petroleum, that may be able to do it cheaper, or faster.
However, Nemet was also sympathetic to the position the company was in. “It’s relatively incremental how these technologies develop,” he said. “I have heard this criticism that this is not a real technology because we haven’t built it at scale, so we shouldn’t depend on it. Or that one of these plants not doing the removal that it said it would do shows that it doesn’t work and that we therefore shouldn’t plan on having it available. To me, that’s a pretty high bar to cross with a climate mitigation technology that could be really useful.”
More data on Orca is coming. Climeworks recently announced that it will work with the company Puro.Earth to certify every ton of CO2 that it removes from the atmosphere and stores underground, in order to sell carbon credits based on this service. The credits will be listed on a public registry.
But even if Orca eventually runs at full capacity, Climeworks will never be able to sell 4,000 carbon credits per year from the plant. Gosalvez clarified that 4,000 tons is the amount of carbon the plant is designed to suck up annually, but the more important number is the amount of “net” carbon removal it can produce. “That might be the first bit of education you need to get out there,” she said, “because it really invites everyone to look at what are the key drivers to be paid attention to.”
She walked me through a chart that illustrated the various ways in which some of Orca’s potential to remove carbon can be lost. First, there’s the question of availability — how often does the plant have to shut down due to maintenance or power shortages? Climeworks aims to limit those losses to 10%. Next, there’s the recovery stage, where the CO2 is separated from the sorbent, purified, and liquified. Gosalvez said it’s basically impossible to do this without losing some CO2. At best, the company hopes to limit that to 5%.
Finally, the company also takes into account “gray emissions,” or the carbon footprint associated with the business, like the materials, the construction, and the eventual decommissioning of the plant and restoration of the site to its former state. If one of Climeworks’ plants ever uses energy from fossil fuels (which the company has said it does not plan to do) it would incorporate any emissions from that energy. Climeworks aims to limit gray emissions to 15%.
In the end, Orca’s net annual carbon removal capacity — the amount Climeworks can sell to customers — is really closer to 3,000 tons. Gosalvez hopes other carbon removal companies adopt the same approach. “Ultimately what counts is your net impact on the planet and the atmosphere,” she said.
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Despite being a first-of-its-kind demonstration plant — and an active research site — Orca is also a commercial project. In fact, Gosalvez told me that Orca’s entire estimated capacity for carbon removal, over the 12 years that the plant is expected to run, sold out shortly after it began operating. The company is now selling carbon removal services from its yet-to-be-built Mammoth plant.
In January, Climeworks announced that Orca had officially fulfilled orders from Microsoft, Stripe, and Shopify. Those companies have collectively asked Climeworks to remove more than 16,000 tons of carbon, according to the deal-tracking site cdr.fyi, but it’s unclear what portion of that was delivered. The achievement was verified by a third party, but the total amount removed was not made public.
Climeworks has also not disclosed how much it has charged companies per ton of carbon, a metric that will eventually be an important indicator of whether the technology can scale to a climate-relevant level. But it has provided rough estimates of how much it expects each ton of carbon removal to cost as the technology scales — expectations which seem to have shifted after two years of operating Orca.
In 2021, Climeworks co-founder Jan Wurzbacher said the company aimed to get the cost down to $200 to $300 per ton removed by the end of the decade, with steeper declines in subsequent years. But at the summit in June, he presented a new cost curve chart showing that the price was currently more than $1,000, and that by the end of the decade, it would fall to somewhere between $400 to $700. The range was so large because the cost of labor, energy, and storing the CO2 varied widely by location, he said. The company aims to get the price down to $100 to $300 per ton by 2050, when the technology has significantly matured.
Critics of carbon removal technologies often point to the vast sums flowing into direct air capture tech like Orca, which are unlikely to make a meaningful difference in climate change for decades to come. During a time when worsening disasters make action feel increasingly urgent, many are skeptical of the value of investing limited funds and political energy into these future solutions. Carbon removal won’t make much of a difference if the world doesn’t deploy the tools already available to reduce emissions as rapidly as possible — and there’s certainly not enough money or effort going into that yet.
But we’ll never have the option to fully halt climate change, let alone begin reversing it, if we don’t develop solutions like Orca. In September, the International Energy Agency released an update to its seminal net-zero report. The new analysis said that in the last two years, the world had, in fact, made significant progress on innovation. Now, some 65% of emission reductions after 2030 could be accounted for with technologies that had reached market uptake. It even included a line about the launch of Orca, noting that Climeworks’ direct air capture technology had moved from the prototype to the demonstration stage.
But it cautioned that DAC needs “to be scaled up dramatically to play the role envisaged,” in the net zero scenario. Climeworks’ experience with Orca offers a glimpse of how much work is yet to be done.
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A bipartisan group of senators proposed major reforms to the country’s environmental laws last month in an effort to speed up the federal approval process for energy projects of all kinds. If it passes, one of the Bipartisan American Affordability and Jobs Act’s biggest changes would be transforming the U.S. court system’s role in federal environmental reviews.
The bill would constrain who can challenge federal environmental decisions in court, which courts can hear those challenges, what plaintiffs can argue in those cases, and what remedies are available when the plaintiffs win. In particular, it would become a lot more difficult — though not impossible — for outside groups to stop construction on a project or vacate a permit if they deemed it to be environmentally risky.
Part of the motivation for the bill, at least among Democrats, is the idea that the National Environmental Policy Act, or NEPA, has become a significant obstacle to building clean energy projects and the infrastructure required to connect them to the grid. The bill includes a number of changes to NEPA that would expedite environmental reviews and prevent legal challenges under NEPA from dragging out project timelines.
But the bill’s restrictions on judicial remedies may be the most significant change, several legal experts told me. “My perhaps overly simplistic view, perhaps a really cynical view, is that the remaining 100 pages of the bill devoted to NEPA are all going to be irrelevant in light of that remedy provision,” said Matthew Littleton, a lawyer who previously served as deputy assistant attorney general at the U.S. Department of Justice’s Environment and Natural Resources Division under the Biden administration.
NEPA is an information-gathering statute. It says that when the federal government makes certain decisions, such as issuing permits or regulatory rules, it must consult with all of the agencies with relevant expertise, invite public comment, and, if the decision could have significant effects on the environment, conduct a wide-ranging assessment of those effects that includes comparisons to alternative actions.
Depending on the decision at hand, the government may have to do some of this analysis under other environmental laws, such as the Clean Air Act and Clean Water Act, but those requirements are narrower. NEPA fills in the gaps. While a Clean Air Act analysis may look at whether a project complies with federal pollution limits, a NEPA analysis would assess the broader effects of the pollution on local communities and surrounding wildlife, and consider whether locating the project elsewhere could accomplish the same goals with reduced risk.
While NEPA can inform an agency’s decision, the law does not require the agency to act on that information. If a NEPA review of an oil leasing program turns up substantial risks, for example, the government can still move forward with it unchanged. If an environmental group sues the government for not considering all of the relevant impacts, or studying enough alternatives, or getting some aspect of the analysis wrong, however, the court can vacate the agency’s decision, or at least issue an injunction on the lease sale while the agency addresses the issue.
A Supreme Court decision last year already significantly narrowed NEPA, giving agencies more discretion to decide how much environmental analysis they need to do on a project’s upstream and downstream effects. Experts expected the ruling to make it much harder for outside groups to win an injunction on a project or vacate a permit.
The new bill would go much farther. If communities or other stakeholders sue the government for violating NEPA and win, the courts could no longer issue an injunction or vacate the government’s decision. The bill would leave the courts with a single remedy: forcing the agency to address whatever gap in its analysis the lawsuit revealed.
To Littleton, this change would make NEPA more or less irrelevant. Today, he explained, agencies and developers face the risk that if they do not do a thorough job complying with NEPA, the courts could suspend their decisions, vacate their permits, or pause construction on their projects. It’s hard to know how big of a role that risk plays in agency decision-making, but if it disappears, so too does the incentive for anyone to spend time on a NEPA analysis.
Agencies are under-resourced and have a lot on their plates, Littleton said. “If at the end of the day you know a court is not going to stop you, even if you completely ignore the statute, you’re going to take the action as quickly as you can, consistent with your other obligations.” In other words, the worst that could happen is that a federal court tells the relevant agency to go back and do some more paperwork while construction continues.
The bill would make the same changes to the National Historic Preservation Act, a similar procedural law that requires agencies to study a decision’s effects on properties of cultural or historic significance. “If Congress has decided that NEPA and the NHPA have outlived their usefulness or do more harm than good, people should be willing to own that and say it and explain why that’s so,” Littleton said. “And if it’s not so, then maybe they need to figure out how to have a far narrower NEPA or NHPA review, but something where it actually matters if you don't do it.”
To be clear, none of this means there will be no way to stop a project from being built or to vacate its permits. Outside groups can still challenge agency actions under the Administrative Procedure Act, Alex Mechanick, an assistant professor at Johns Hopkins and a former senior counselor in the Office of Management and Budget under the Biden administration, told me. The APA is a larger umbrella law that says agencies cannot violate the Constitution or federal regulations or act arbitrarily or capriciously.
“Arbitrary and capricious action is already unlawful under the APA and could lead to agency action being vacated or enjoined regardless of BAAJA,” Mechanick said. A court might find that an agency violated the APA if a decision had undeniably worse environmental costs than benefits, if a less damaging option offered the same benefits, or if the agency simply chose not to analyze a relevant aspect of the decision. If the Interior Department was considering a new oil and gas leasing plan and didn’t consider effects on local wildlife, a court might deem that arbitrary and capricious. If the agency studied those effects, found significant risks, and then ignored them entirely with no explanation, that could also constitute a violation of the APA.
Littleton didn’t disagree with Mechanick’s assessment. If the bill passes, he said, the NEPA process may become the mechanism agencies use to comply with the APA rather than an end in itself.
The bill makes a more far-reaching change to legal challenges under the Clean Water Act. That law requires developers to secure a Section 404 permit when their project involves placing dredged materials into a body of water or wetland. It asks the Army Corps of Engineers to collect public comments, analyze the environmental impacts, and evaluate alternatives — much like NEPA. In this case, however, the analysis is not just procedural. Depending on what it reveals, the Corps may be legally required to deny the permit.
As with NEPA and the NHPA, the Senate bill would remove a federal court’s ability to vacate a Section 404 permit if it finds a deficiency in the Army Corps’ analysis. But the bill also specifically prevents vacatur for challenges under the APA. In either case, there is an exception for if the court finds that the “activities authorized under the permit would present an imminent and substantial danger to human health or the environment.”
Mechanick called this a “timing rule,” since the court’s options will depend on how far along the project is. The agency either has enough time to act before harm is imminent, or it doesn’t. “I don’t understand why you should have to wait until the harm is imminent to enjoin the agency,” he said, “but I suppose the idea is that this is a lighter touch remedy until it’s really a do-or-die moment.”
On Korea’s Westinghouse wishes, a lithium deal, and British heat pumps
Current conditions: New York City’s temperature is set to rise as high as 80 degrees Fahrenheit this week before plunging as the coldest weather so far this season blows into the Northeast • Temperatures in Denver have been above 80 degrees for the past 11 days straight • Nearly 200,000 households, mostly in Florida, are still without electricity after Hurricane Isaias.
In theory, news of President Donald Trump’s deal with Russia to pump millions of tons of diesel into the global market should have eased oil prices. Instead, all three major crude benchmarks spiked Monday by nearly 1.5%. Only West Texas Intermediate, the U.S. metric that has largely evaded the worst knock-on effects of conflict in the Middle East, remained below $100 per barrel. The hike came as the Houthi attacks on Saudi Arabia over the weekend weighed heavily on investors’ minds, eclipsing whatever impact the diesel deal could have had.
Speaking at an industry summit in Riyadh, from which executives from Western oil majors bowed out at the last minute following missile strikes on the airport in the Saudi capital, the head of the country’s state oil company warned that not even Saudi Arabia had the capacity to protect all the supply routes off its coasts for getting hydrocarbons from the region to the world. “No nation, even one as capable and confident as ours, can safeguard them alone,” Aramco CEO Amin Nasser said, according to Arab News.
TotalEnergies took more than $1 billion from the Trump administration to kill off its offshore wind projects. But don’t take that as a sign the French energy behemoth is abandoning American renewables. The company’s joint venture with private equity giant KKR announced a deal to add 700 megawatts of solar to its portfolio of 1.4 gigawatts. The $1.2 billion acquisition includes three utility-scale solar farms in Texas and Ohio that are expected to reach commercial operation in the first quarter of next year.

South Korea is in a bind. The Korea Electric Power Corporation, through its subsidiary Korea Hydro & Nuclear Power, represents the most competent financier and builder of nuclear reactors anywhere in the democratic world, having constructed the United Arab Emirates’ debut atomic power stations relatively on time and on budget compared to U.S., French, and British projects. But the leading Korean reactor, the APR1400, allegedly borrowed from the American nuclear champion Westinghouse’s pressurized water reactor design. A yearslong legal feud ended last year with a settlement that bars the Koreans from bidding on projects in Europe or North America. In a deal this month with the Trump administration to stave off tariffs, Seoul has agreed to help finance and construct six Westinghouse AP1000s and two of its own APR1400s in the U.S., giving the Americans a leg up on nuclear construction and the Koreans a foothold in North America.
In South Korea, where the Westinghouse settlement has widely been considered unfair, the government is signaling other plans to gain more leverage. For starters, KEPCO’s chief executive Kim Dong-cheol said the claim that the settlement requires the company to pay Westinghouse $2 billion per nuclear plant to use its technology was misunderstood. “It is true that $2 billion is the ceiling, but it does not mean we will pay all of it,” he said. But the more eyebrow-raising detail in his interview with the financial newspaper Business Korea is that KEPCO is considering a plan to acquire an equity stake of between 5% and 10% in Westinghouse. Rumors of a potential deal to buy part of Westinghouse have been circulating in the Korean press for weeks now. Anything seems to be on the table these days, but when I have asked multiple sources on the U.S. side about it, all of them shrugged off the possibility to me.
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When The New York Times ran a glowing profile of the lithium startup EnergyX back in 2021, industry sources at the time mocked the coverage to me as too credulous — a sign of how unsophisticated the popular American press was at writing about critical minerals at the time. The Wall Street Journal glazed the firm’s chief executive, Teague Egan, in its own profile three years later. So it was with light surprise and amusement that I read Reuters reporter Ernest Scheyder’s latest story about the company: EnergyX just signed a $2 billion binding offtake to supply the commodities giant Trafigura with the battery metal from Chile and the U.S. It’s one of the largest deals ever tied to direct lithium extraction, the technology EnergyX is trying to commercialize, which uses less water than standard methods of mining the metal. The 10-year contract comes amid growing demand from the stationary battery storage market as the grid and data centers eat what unsteady sales of electric vehicles has left on the plate.
The British government plans to cut hundreds of millions of dollars from the national program to upgrade boilers in England and Wales, providing £9,000, or nearly $12,000, to finance the switch to heat pumps. The cuts, which the Financial Times reported Monday had drawn a backlash against the ruling Labour Party, are part of a broader bid by Prime Minister Andy Burnham to slash £2 billion in the budget to make way for more military spending. The reductions began in June under former Prime Minister Keir Starmer with a study to identify potential cuts. Starmer singled out the Department of Energy Security and Net Zero, particularly after the agency received a 16% annual increase to fund projects such as the nuclear buildout at Sizewell C, carbon capture infrastructure, and insulation to make homes more energy efficient.
The move is sure to ripple across the climate policy world. Roughly a week ago, Daniel Aldana Cohen, an assistant professor at the University of California at Berkeley, was extolling the benefits of ramping up U.S. production of heat pumps in response to soaring heating prices this winter due to the fossil fuel supply crunch. “Every year that we don’t do a wartime mobilization on heat pumps, we’re ruining people’s lives,” the early advocate of a Green New Deal wrote in a post on X. “Heat pumps will always outperform heating oil, cut costs, add summer AC. And would be fantastic for labor, small businesses, worker co-ops.”
As quickly as a spark of atmospheric electricity strikes, the Ford F-150 Lightning disappeared, with the final model of the all-electric pickup truck rolling off the assembly line last year. Now, Bloomberg reports, “it has become one of the most coveted cars in America and a glowing ember in the red-hot market for used electric vehicles.” The price of a used Lightning is 50% to 60% of the sticker price, which one expert told the newswire “is really a sweet spot.”
What 700 math problems say about the AI economy’s biggest open question
This is Heatmap Daily, an evening news digest written by our executive editor. Subscribe here.
Happy Monday and welcome back.
It’s been a big weekend: I’m fairly certain Saturday Night Live mentioned Heatmap’s data center polling in one of its Weekend Update segments over the weekend. Watch here.
There are 22 days to the midterm elections here in the United States. We’ll soon enter that pre-election wormhole where only national politics can break through. So today I wanted to look at a story that might, on its face, seem like it has nothing to do with climate or energy. And warning: It’s a little bit of a weird one.
Last week, OpenAI released what it described as the solution to more than 700 open problems in mathematics. Many of the problems, such as the Quasi-Riemann hypothesis, had gone unsolved for decades. Some of the solutions came with proofs written in the programming language Lean.
The release made a stir in part because OpenAI had reached the solutions by using an internal model — that is, a version of ChatGPT not yet open to the general public. In a statement, the Association for Human Mathematics lambasted OpenAI for using an internal model to do research, violating what it described as a precept of AI-driven math research. (I’ve since seen speculation that OpenAI may not have even meant to solve the problems, but gave them to the internal model as a test … and then got the answers.) It’s also not clear whether all of OpenAI’s 700 solutions are correct — in many cases the proofs are so intricate that mathematicians are still wrapping their heads around them.
“There are some sad stories related to their users getting scooped [and] conflicts of interest,” Levent Alpöge, a mathematician at Anthropic, posted on X. “It’s obviously the most significant moment in mathematical history.”
On Friday night, the UCLA mathematician Terence Tao gave a pre-planned lecture at Caltech about what he called “Math 2.0”; it considered the revolution the field had seemingly undergone in the previous few days. (He posted the slides to his blog over the weekend, and I’m using them to summarize his talk here.) For most of math’s history, he said, the field operated under “proof scarcity,” in which finding a solution to an open math problem and confirming it as true was “difficult and rare,” requiring “significant human expertise.”
But AI, it has turned out, is well suited to solving math problems. This is partly because math, like the large language models themselves, is entirely conceptual, so confirming a proof as true requires no recourse to the physical. But it’s also because math’s solutions are “objectively verifiable”: “There is broad consensus on what constitutes a correct and complete proof of a given problem,” and thanks to the existence of proof programming languages like Lean, they can even be checked by computer.
The end result is that math is now entering a world of “proof abundance,” he said.
That is, perhaps surprisingly, a problem for math’s practitioners, and it will mandate a new intellectual regime for the discipline. Mathematicians have often used open problems as “lighthouses,” Tao wrote, “not destinations to be reached … but useful guides to explore the mathematical landscape.” Mathematicians often learn more in the solving than in the solution, in other words. But if mathematicians can now generate shortcuts to math problems without knowing how they got there, or even how the problem works, then actual human mathematical understanding will suffer. (One way to understand this is that mathematicians are now dealing with the same problem that math teachers have faced since the invention of the pocket calculator: How do you confirm students actually understand the material? Except the world’s most elite mathematicians themselves are the students in question.)
This disconnect can pose its own AI alignment problems, Tao said, analogizing math to pharmaceuticals. Suppose an advanced AI found what appears to be a cure for cancer that can pass a stage 3 clinical trial: “After a large amount of compute, it produces a cocktail of previously unknown chemicals which it claims, when mixed and injected into a patient, will kill all their cancer cells,” he said. It even generates a programmatic proof of the cocktail’s effectiveness.
“Before injecting this cocktail into your bloodstream,” he asked, “would you find it reassuring to know that there is at least one human cancer expert who understands — even partially — the mechanism behind this cure?” If not, you can see mathematicians’ problem, confronted by a surfeit of proofs that seem to work, but nobody who can explain how or why they do.
Now, Tao’s analogy is somewhat peculiar because something like this actually does happen all the time in medicine: Doctors still don’t fully understand how many drugs work, including acetaminophen, SSRIs, and lithium. (That said, those compounds were identified by trial and error, not by a mechanical superintelligence.) But the broader situation that Tao is painting — as well as the crisis posed by OpenAI’s 700 proofs — get at a significant question with economic importance far beyond just math: Will AI solve the economy’s secular attention shortage or worsen it?
This question has greater import than it may seem — but let me qualify what I mean by “attention shortage.” Writing in 1971, the economist Herber Simon observed the sudden superabundance of information that had exploded in every economic domain. There were more facts, data, news articles, and opportunities than any individual or organization knew what to do with. He pointed out that this newfound “wealth” of information implied an insufficiency of something else: attention.
“What information consumes is rather obvious: it consumes the attention of its recipients,” he wrote in Designing Organizations for an Information-Rich World. “Hence a wealth of information creates a poverty of attention and a need to allocate that attention efficiently among the overabundance of information sources that might consume it.”
He wrote this, of course, well before the advent of internet, smartphones, sensors, or networked cameras — all of which have worsened the problem. But in the ensuing half century, the economy has learned to deal (or at least intermittently manage) this secular scarcity of attention. Much of what we now call knowledge work is devoted to filtering, siphoning, processing, and otherwise attending to the information superabundance.
AI is, in theory, supposed to help address this same set of problems. AI is commodified attention — or, at least, that is its promise. (The most important machine learning paper of the past decade, after all, is entitled “Attention Is All You Need.”) Many AI products, such as Meta’s Muse, now want you to believe that by ceding control of your email, your calendar, your restaurant reservations, and your digital life to AI, you will gain an attentional edge. The AI will do the grunt-work of attending to boring things for you, and you will feel less overwhelmed. If this vision comes true, the economy’s mismatch of information and attention will prove to be a short-lived historical blip.
But the past week of math news and Tao’s “Math 2.0” regime suggest a different scenario is more likely, at least in the immediate near term. By allowing far faster and more automated information production, AI will create a new, more vicious, and even more abstract form of information overload. Every profession and intellectual discipline will be overwhelmed with new papers, ideas, observations, proofs, or choices. Yet the human understanding required to convert this new information into useful action will become even more scarce. In such a world, AI will not solve the economy’s attention shortage, but worsen it.
I’m not sure which world would be worse for humanity, to be candid. One world suggests the eventual automation of all human effort. But in Tao’s world, many of us might still have jobs — they will just involve even more filtering, sorting, and processing of an ever-deepening pile of automated idea generation than we do today.
And what is the connection to climate and energy? One easy connection might be to the permitting process: If you think a new transit line (at the local level) or transmission line (at the state or federal level) could be overwhelmed with procedural concerns 10 years ago, wait until you see what happens when information itself can be mechanically produced. But that is only one example of a more general problem. Soon, if not already, any process of providing input to an important policy question — on energy, decarbonization, or anything else — will be overwhelmed with facially high-quality analysis. It will be left to policy officials and elected leaders to sort through it.