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This paper addresses the critical intersection of AI and formalization in physics, arguing that while AI accelerates proof generation, it currently struggles with defining physical concepts and managing community trust. The authors propose shared, verified libraries like Physlib as essential infrastructure to ensure results are reusable and scientifically sound without sacrificing rigor. Ultimately, the work highlights a fundamental challenge: verifying mathematical proofs does not automatically validate their fidelity to physical reality.
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The Future of AI-assisted Physics: Discovering, Verifying and Organizing Results via Formalization

arXiv2 min read

arXiv:2610.14059v1 Announce Type: cross Abstract: Rapid advances in AI have opened a new era for physics, enabling unprecedented capabilities in research and discovery. However, these advances also bring challenges in verifying, trusting, and reusing the results they so rapidly produce. Formalization is a necessary part of the solution to these challenges. In this paper, as well as giving an overview of the role of AI and formalization in physics, we make the case that: (1) formalization is an essential layer for AI-driven discoveries in both computational and theoretical physics; (2) AI is lowering the barrier to, and increasing the efficiency of, formalization in physics, though it remains weaker at choosing definitions and designing libraries than at writing proofs; (3) the speed AI brings to formalization in physics currently comes at the cost of trust, credit, and community; (4) shared, community-reviewed formal libraries such as Physlib should be central in making progress in this field, both as a trusted, reusable foundation for physics results and as the environment in which AI systems can reason about physics; (5) formalizing physics raises challenges beyond those in mathematics, most importantly that a checked proof does not establish that its definitions faithfully capture the intended physics. We also give our perspectives on near-term and long-term directions in these areas.

Abstract:Rapid advances in AI have opened a new era for physics, enabling unprecedented capabilities in research and discovery. However, these advances also bring challenges in verifying, trusting, and reusing the results they so rapidly produce. Formalization is a necessary part of the solution to these challenges. In this paper, as well as giving an overview of the role of AI and formalization in physics, we make the case that: (1) formalization is an essential layer for AI-driven discoveries in both computational and theoretical physics; (2) AI is lowering the barrier to, and increasing the efficiency of, formalization in physics, though it remains weaker at choosing definitions and designing libraries than at writing proofs; (3) the speed AI brings to formalization in physics currently comes at the cost of trust, credit, and community; (4) shared, community-reviewed formal libraries such as Physlib should be central in making progress in this field, both as a trusted, reusable foundation for physics results and as the environment in which AI systems can reason about physics; (5) formalizing physics raises challenges beyond those in mathematics, most importantly that a checked proof does not establish that its definitions faithfully capture the intended physics. We also give our perspectives on near-term and long-term directions in these areas.

High Energy Physics - Phenomenology (hep-ph); Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO); High Energy Physics - Theory (hep-th)

arXiv:2610.14059 [hep-ph]

(or arXiv:2610.14059v1 [hep-ph] for this version)

https://doi.org/10.48550/arXiv.2610.14059 arXiv-issued DOI via DataCite (pending registration)

Full text under the publisher's open licence · 244 words

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