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A gravitational anomaly is found at weak gravitational acceleration$g_{\rm{N}} < 10^{-9}$ m s$^{-2}$ from analyses of the dynamics of wide binarystars selected from the Gaia DR3 database that have accurate distances, propermotions, and reliably inferred stellar masses. Implicit high-ordermultiplicities are required and the multiplicity fraction is calibrated so thatbinary internal motions agree statistically with Newtonian dynamics at a highenough acceleration of $10^{-8}$ m s$^{-2}$. The observed sky-projected motionsand separation are deprojected to the three-dimensional relative velocity $v$and separation $r$ through a Monte Carlo method, and a statistical relationbetween the Newtonian acceleration $g_{\rm{N}} \equiv GM/r^2$ (where $M$ is thetotal mass of the binary system) and a kinematic acceleration $g \equiv v^2/r$is compared with the corresponding relation predicted by Newtonian dynamics.The empirical acceleration relation at $< 10^{-9}$ m s$^{-2}$ systematicallydeviates from the Newtonian expectation. A gravitational anomaly parameter$\delta_{\rm{obs-newt}}$ between the observed acceleration at $g_{\rm{N}}$ andthe Newtonian prediction is measured to be: $\delta_{\rm{obs-newt}}= 0.034\pm0.007$ and $0.109\pm 0.013$ at $g_{\rm{N}}\approx10^{-8.91}$ and $10^{-10.15}$m s$^{-2}$, from the main sample of 26,615 wide binaries within 200 pc. Thesetwo deviations in the same direction represent a $10\sigma$ significance. Thedeviation represents a direct evidence for the breakdown of standard gravity atweak acceleration. At $g_{\rm{N}}=10^{-10.15}$ m s$^{-2}$, the observed toNewton predicted acceleration ratio is$g_{\rm{obs}}/g_{\rm{pred}}=10^{\sqrt{2}\delta_{\rm{obs-newt}}}=1.43\pm 0.06$.This systematic deviation agrees with the boost factor that the AQUAL theorypredicts for kinematic accelerations in circular orbits under the Galacticexternal field.

Breakdown of the Newton-Einstein Standard Gravity at Low Acceleration in Internal Dynamics of Wide Binary Stars