In this paper, we will find a way to apply the Gell-Mann matrices in the Geometric Algebra Cl(3,0) realm. And without the need of adding the time as an ad-hoc dimension, but just considering that the time emerges naturally as one of the 8 degrees of freedom that appear in geometric Algebra Cl(3,0).Once these transformations are obtained, we will define the bra-ket product in Geometric Algebra and check that gives the same results as in the matrix representation.We will apply it both for Euclidean and non-Euclidean spaces. With the values obtained, we will show that the g-2 issue of the muon could be perfectly related to gravitational issues (to non-Euclidean space). The difference between theoretical and measured value of g-2 of the muon is 2,79E0-9. And on the surface of the Earth, the effects of non-Euclidean space due to gravitational effects are in the range of 1,39 E-09. It can be checked that the muon g-2 value is just the double (this is, in the same order) of the gravitational effects. So, gravitational effects could indeed affect the g-2 value of the muon on the surface of the Earth as it will be shown.