LLMs with in-context learning for Algorithmic Theoretical Physics

Fuente: arXiv
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Auteurs principaux: Hell, Anamaria, Thiele, Leander
Format: Preprint
Publié: 2026
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author Hell, Anamaria
Thiele, Leander
author_facet Hell, Anamaria
Thiele, Leander
contents There is an increasing number of algorithmic computations in theoretical physics. These, while conceptually simple, can nevertheless be time-consuming and contain subtleties that should not be overlooked. Given the recent improvement of Large Language Models (LLM), it is natural to investigate whether LLMs equipped with a computer algebra system (CAS) runtime and sufficiently informative context can reliably carry out these algorithmic tasks. In this work, we interface Claude with Maple, and apply this framework to cosmological perturbations in modified theories of gravity. We demonstrate the current capabilities of this approach, the typical failures, and how the same can be improved. We find that a frontier LLM supplied with worked examples is able to solve most test problems.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08212
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle LLMs with in-context learning for Algorithmic Theoretical Physics
Hell, Anamaria
Thiele, Leander
Machine Learning
Computation and Language
General Relativity and Quantum Cosmology
High Energy Physics - Theory
There is an increasing number of algorithmic computations in theoretical physics. These, while conceptually simple, can nevertheless be time-consuming and contain subtleties that should not be overlooked. Given the recent improvement of Large Language Models (LLM), it is natural to investigate whether LLMs equipped with a computer algebra system (CAS) runtime and sufficiently informative context can reliably carry out these algorithmic tasks. In this work, we interface Claude with Maple, and apply this framework to cosmological perturbations in modified theories of gravity. We demonstrate the current capabilities of this approach, the typical failures, and how the same can be improved. We find that a frontier LLM supplied with worked examples is able to solve most test problems.
title LLMs with in-context learning for Algorithmic Theoretical Physics
topic Machine Learning
Computation and Language
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2605.08212