What is exactly the fourth dimension in Space?
The Fourth dimension in Space is a real distance dimension r,
completing the three vector displacement dimensions. Space is a
quaternion with one real dimension and three vector dimensions, s=
r + Ix + Jy + Kz, where I,J and K denote the vector dimensions. The
real dimension r is related to time by r=ct where c is the speed of
light.
Einstein and Minkowski proposed in Relativity Theory a defective
four dimension Space, where the fourth dimension is a vector Ict .
This Space is essentially a two dimensional Space and does not
exhibit the non-commuttive features of the quaternion Space.