I finished the previous writing that in the geometric algebra it would be good to handle the scalar similarly as we use the real numbers in the number-planes of two-element numbers.

One of the two-element numbers is the hyperbolic number-plane, and this number-plane is a model of the space-time, wherein the real axis is the time-axis and the imaginary axis is the space-dimension. A thought ensues from this model that in the geometric algebra there would be good a "time-like" view of the scalars (real numbers) namely it ought to regard the number-line of the real numbers as an axis perpendicular to the Euclidean vector space.