Extending single-minus amplitudes to gravitons
Summary
OpenAI researchers, in collaboration with institutions like the Institute for Advanced Study and Harvard University, published a preprint on March 4, 2026, detailing a new mathematical result in quantum gravity. This work extends previous findings for gluons to gravitons, demonstrating that single-minus graviton tree amplitudes, traditionally assumed to vanish, can be non-zero under specific kinematic conditions, particularly in the half-collinear regime. The derivation, which utilized GPT-5.2 Pro, combines recursion relations and symmetry constraints, revealing explicit formulas for these interactions. This finding is a step towards reconciling quantum mechanics with general relativity, showing how an infinite-dimensional "w-(1+∞)" symmetry, discovered by Penrose, acts on gravitons. The project highlights AI's role in accelerating theoretical physics research, shifting effort towards verification and exposition.
Key takeaway
For AI Researchers exploring theoretical physics, this work suggests that AI-assisted reasoning, exemplified by GPT-5.2 Pro's contribution, can significantly accelerate the discovery phase of complex derivations. You should consider integrating advanced AI models into your research workflow to generate initial conjectures and preliminary drafts, allowing more human effort to be focused on rigorous verification and formal exposition, thereby speeding up the pace of scientific discovery.
Key insights
Single-minus graviton amplitudes, previously thought to vanish, are non-zero under specific half-collinear kinematic conditions.
Principles
- Amplitudes reveal hidden mathematical structure.
- Symmetry principles constrain interaction forms.
- Mathematical insights transfer across physics domains.
Method
GPT-5.2 Pro was used to construct quantum gravity amplitudes by extending gluon results, employing the directed matrix-tree theorem, recursion relations, and symmetry constraints for derivation and verification.
In practice
- Explore half-collinear regimes for non-vanishing amplitudes.
- Apply recursion relations to build complex interactions.
- Utilize AI for accelerating theoretical derivations.
Topics
- Quantum Gravity
- Scattering Amplitudes
- Graviton Interactions
- AI-assisted Research
- GPT-5.2 Pro
Best for: AI Researcher, AI Scientist, Research Scientist
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Editorial summary, takeaway, and curation by AIssential. Original article published by OpenAI News.