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We propose a Finsler spacetime scenario of the anisotropic universe. The Finslerian universe requires both the fine-structure constant and the accelerating cosmic expansion to have a dipole structure and the directions of these two dipoles to be the same. Our numerical results show that the dipole direction of the SnIa Hubble diagram locates at (l, b) = (314. 6^ 20. 3^, -11. 5^ 12. 1^) with magnitude B= (-3. 60 1. 66) 10^-2. The dipole direction of the fine-structure constant locates at (l, b) = (333. 2^ \, 8. 8^, -12. 7^ \, 6. 3^) with magnitude B= (0. 97 0. 21) 10^-5. The angular separation between the two dipole directions is about 18. 2^.
Li et al. (Wed,) studied this question.