Discovery 01 — The Landmark Case
The Gluon Proof:
A "Forbidden" Interaction Is Real
To understand what happened, you need to understand gluons. They are the massless quantum particles that carry the strong nuclear force — the force that binds quarks into protons and neutrons, and holds atomic nuclei together. Gluons interact not only with quarks, but with each other: they can scatter, and physicists describe those scattering events using mathematical objects called scattering amplitudes.
What is a scattering amplitude?
A scattering amplitude is the fundamental quantity in quantum field theory that encodes the probability of a particle interaction occurring in a particular way. Amplitudes in particle physics often take surprisingly elegant mathematical forms — their simplicity has historically pointed physicists toward deep underlying structure in the laws of nature. When an amplitude is unexpectedly complex, it usually means there is a cleaner formulation waiting to be found. When one is zero, it typically means the interaction simply cannot happen.
For decades, a particular class of gluon amplitudes was treated as zero. When gluons carry a quantum property called helicity — the alignment of their spin with their direction of travel — physicists had long established that at tree level (the simplest calculation, with no quantum loops), at least two gluons in any scattering event had to carry negative helicity. If only one did — a "single-minus" configuration — the amplitude was presumed to vanish. The interaction was effectively forbidden.
About a year before the February 2026 paper, three theorists — Alfredo Guevara at the Institute for Advanced Study, David Skinner at Cambridge, and Strominger at Harvard — noticed a potential loophole. The standard argument assumed generic particle momenta. In a specific, precisely defined region of momentum space where all the particles were moving in roughly the same direction — what the paper calls the "half-collinear regime" — the argument might break down. The amplitude might not be zero after all.
Confirming the hunch was another matter. The team expected to prove it in a few weeks. Instead, they spent nearly a year wrestling with an expression that grew to dozens of terms — unwieldy, opaque, and resistant to the simplification they suspected was hiding inside it. They fed it into an early version of ChatGPT. It fumbled. They set it aside.
The Breakthrough Moment · January 2026
"All of a sudden, I felt like I was working with a creative person"
Lupsasca, now at OpenAI, reconnected with Strominger and brought him to test the firm's latest internal model on the gluon problem. They asked ChatGPT-5.2 Pro to simplify their four-gluon expression. It did it in twenty minutes. They asked for five gluons, then six. The model reduced a sum of 32 terms to a product of just a few — on a single line of text. Then came the pivotal moment: they asked it to guess the generalisation to any number of particles.
The model replied within two minutes. It called the formula "obvious." The physicists checked it. They could not find anything wrong. "Worried the answer might be a hallucination," Strominger later said, they handed the generalised formula to a second internal OpenAI model — privately called "SuperChat" — and asked for a proof. It ran for twelve hours. The proof held.
The team spent the following week verifying the result by hand and drafting a paper. Kevin Weil of OpenAI joined as co-author on behalf of OpenAI. The preprint, "Single-minus gluon tree amplitudes are nonzero", appeared on arXiv on 12 February 2026.
Paper: arXiv:2602.12176
Authors: Guevara, Lupsasca, Skinner, Strominger, Weil
Announced: AAAS Annual Meeting, Feb 2026
Status: Preprint · Under peer review
The result was extended within weeks. Single-minus graviton amplitudes — the analogous case for gravitons, the hypothetical quantum carriers of gravity — were shown to be nonzero by the same team in a second preprint submitted March 4, 2026. This time, the paper notes that "both GPT-5.2 Pro and a new OpenAI internal model played a significant role at all stages" of the project.
"Finding a simple formula has always been fiddly, and also something I have long felt might be automatable by computers. The example seems especially well-suited to exploit the power of modern AI."
— Nima Arkani-Hamed, Professor of Physics, Institute for Advanced Study, on the gluon result
Harvard Gazette · Science/AAAS · OpenAI · arXiv:2602.12176 · arXiv:2603.xxxxx · IAS News, February–March 2026