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Closed-Form of the Local Galactic Potential and Stellar Distribution Function from Gaia DR3

arXiv · AI, language, vision and robotics · article · Sep 8, 2026 · UTC

The local dark matter density determines the strength of the signal expected in direct-detection experiments, yet published estimates from stellar motions disagree by more than their errors, and the most recent machine-learning analysis of Gaia data finds a local density consistent with zero. According to Jeans' theorem, a distribution function built from integrals of motion satisfies the collisionless Boltzmann equation (CBE) trivially for any choice of potential, so a search that simultaneously fits the distribution function and the potential to the CBE identifies neither. Our pipeline inste

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