4 GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s48>GLYPH<s46>GLYPH<s52> GLYPH<s48>GLYPH<s46>GLYPH<s54> GLYPH<s48>GLYPH<s46>GLYPH<s56> GLYPH<s49>GLYPH<s46>GLYPH<s48> GLYPH<s49>GLYPH<s46>GLYPH<s50> GLYPH<s49>GLYPH<s46>GLYPH<s52> GLYPH<s49>GLYPH<s46>GLYPH<s54> GLYPH<s45>GLYPH<s50>GLYPH<s46>GLYPH<s48> GLYPH<s45>GLYPH<s49>GLYPH<s46>GLYPH<s53> GLYPH<s45>GLYPH<s49>GLYPH<s46>GLYPH<s48> GLYPH<s45>GLYPH<s48>GLYPH<s46>GLYPH<s53> GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s53> GLYPH<s108> GLYPH<s111> GLYPH<s103> GLYPH<s49> GLYPH<s48> GLYPH<s40>GLYPH<s72> GLYPH<s48> GLYPH<s100> GLYPH<s76> GLYPH<s47>GLYPH<s99>GLYPH<s41> FIG. 1: The luminosity distant Log 10 ( H 0 d$_{L}$/c ) versus the redshift z for the navigational cosmological model. The data comes from Riess et al .[2] and Hubble Space Telescope (HST)[30]. And the value of Hubble constant is set as H 0 = 67 . 88 km · s − 1 · Mpc − $^{1}$. CONCLUSION Our Letter initiates an exploration of the possibility that the empirical success of the observations of Type Ia supernovae can be regarded as the influence of a naviga- tional wind. The particles move on Riemnnian manifold and influenced by a vector field (the “wind”) which pro- portion to the curvature − ϵ 2 4 of the space of the Universe. Its geodesic indeed is a Finslerian geodesic. Thus, the ob- servations of Riess et al .[2] on distant supernovae may be explained by the effect of the “wind”. Our numerical result could account for astronomical observations. At last, we point out that the age of the Universe is about 9.76Gyr in our model. This is contradicted with the age (13 . 5 ± 2 Gyr ) of Globular clusters in the MilkyWay[32]. In the navigation cosmological model, we only involve the radial “wind”. The non-radial “wind” should be taken into account in future work, we expect that the effect of the non-radial “wind” may supply us a reasonable age of the Universe. We would like to thank Prof. C. J. Zhu and X. H. Mo for useful discussions. The work was supported by the NSF of China under Grant No. 10525522 and 10875129. ∗ Electronic address: lixin@itp.ac.cn † Electronic address: zchang@ihep.ac.cn ‡ Electronic address: limh@ihep.ac.cn [1] E. Hubble, Proceedings of the National Academy of Sci- ences of the United states of America 15 , 168 (1929). [2] A. G. Riess et al ., Astron. J. 116 , 1009 (1998); Astron. J. 117 , 707 (1999). [3] S. Perlmutter, et al ., Astrophys J. 517 , 565 (1999). [4] E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15 , 1753 (2006). [5] T. Padmanabhan, Phys. Rept. 380 , 235 (2003). [6] S. Bludman, arXiv:astro-ph/0605198. [7] D. Colladay and V. A. Kostelecky, Phys. Rev. D55, 6760 (1997); V. A. Kostelecky, Phys. Rev. D 69 , 105009 (2004). [8] A. G. Cohen and S.L. Glashow, Phys. Rev. Lett. 97 , 021601 (2006). [9] G. W. Gibbons, J. Gomis and C. N. Pope, Phys. Rev. D 76 , 081701 (2007). [10] F. Girelli, S. Liberati and L. Sindoni, Phys. Rev. D 75 , 064015 (2007). [11] Z. Chang and X. Li, Phys. Lett. B 663 , 103 (2008). [12] Z. Chang and X. Li, Phys. Lett. B 668 , 453 (2008). [13] J. D. Anderson et al ., Phys. Rev. Lett. 81 2858, (1998); Phys. Rev. D 65 , 082004 (2002); Mod. Phys. Lett. A 17 , 875 (2002). [14] X. Li and Z. Chang, arXiv:gr-qc/0909.3713. [15] G. A. Krasinsky and V. A. Brumberg, Celest. Mech. Dyn. Astrn. 90 , 267 (2004). [16] E. M. Standish, Proc. IAU Colloq. 196 , 163 (2005). [17] J. G. Williams and D. H. Boggs, in Proceedings of 16th International Workshop on Laser Ranging, ed. S. Schillak, (Space Research Centre, Polish Academy of Sci- ences), 2009. [18] X. Li and Z. Chang, arXiv:gr-qc/0911.1890. [19] D. Bao, S. S. Chern and Z. Shen, An Introduction to Riemann–Finsler Geometry , Graduate Texts in Math- matics 200 , Springer, New York, 2000. [20] S. S. Chern, Sci. Rep. Nat. Tsing Hua Univ. Ser. A 5 , 95 (1948); or Selected Papers, vol. II, 194, Springer 1989. [21] H. Akbar-Zadeh, Acad. Roy. Belg. Bull. Cl. Sci. (5) 74 , 281 (1988). [22] S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity , Wiley, New York, 1972. [23] X. Li, Z. Chang and X. H. Mo, arXiv:hep-th/1001.2667. [24] G. S. Asanov, Reports on Mathematical Physics 59 , 111 (2007). [25] C. W. Misner, K, S, Thorne and J. A. Wheeler, Gravita- tion , Freeman, San Francisco, 1973. [26] D. Bao, C. Robles and Z. Shen, J. Diff. Geom. 66 , 377 (2004); arXiv:math/0311233. [27] G. Randers, Phys. Rev. 59 , 195 (1941). [28] E. Zermelo, Z. Angew. Math. Mech. 11 (2), 114 (1931). [29] G. W. Gibbons, et al. , Phys. Rev. D 79 , 044022 (2009). [30] M. Kowalski et al ., Astrophys. J. 686 , 749 (2008). [31] D. N. Spergel et al ., Astrophys. J. Supp. 170 , 377 (2007). [32] R. Jimenez, P. Thejll, U. Jorgensen, J. MacDonald and B. Pagel, MNRAS 282 , 926 (1996).