  In this paper, we define three types of 2-Ruled hypersurfaces in the
Minkowski 4-space $\mathbb{E}^4_1$. We obtain Gaussian and mean curvatures of
the 2-ruled hypersurfaces of type-1 and type-2, and some characterizations
about its minimality. We also deal with the first Laplace-Beltrami operators of
these types of 2-Ruled hypersurfaces in $\mathbb{E}^4_1$. Moreover, the
importance of this paper is that the definition of these surfaces by using the
octonions in $\mathbb{E}^4_1$. Thus, this is a new idea and make the paper
original. We give an example of 2-ruled hypersurface constructed by octonion
and we visualize the projections of the images with MAPLE program. Furthermore,
the optical fiber can be defined as a one-dimensional object embedded in the
4-dimensional Minkowski space $\mathbb{E}^4_1$. Thus, as a discussion, we
investigate the geometric evolution of a linearly polarized light wave along an
optical fiber by means of the 2-ruled hypersurfaces in a four-dimensional
Minkowski space.
