The title is nothing more than Euclidean space merged with the dimension of time. In other words, your familiar three physical dimensions and one time dimension. I realized something with this space (maybe it's true) just now. You CANNOT have physical degeneracy since the dimension of time lifts any sort of degeneracy you might see in statics. By physical degeneracy I mean one cannot have the same physical value for one instant and another instant.
Consider something traveling on a ring. If we set this ring in Euclidean space (x,y,z), say on the x-y plane and start our something object at (x=R, y=0), where the radius of the ring is R, then if we think about the points in this 3D space where our something will can be, then we are (in this case) stuck on the ring. So, our something can start at (x=R, y=0) and rotate about the ring and be back where it started even after tracing out the shape of the ring. Physically, our something doesn't know the difference between the cylindrical coordinates (an inbreed from Euclidean space, instead of (x,y,z) defining a point in space we use (s,@,z) where z is equivalent to the z in Euclidean space, s is the distance from the z axis, and @ gives us the rotation about the z axis...really @ is denoted by the Greek letter theta, but I don't have a theta key or option) (s=R,@=0,z=0) and (s=R,@=360E,z=0) (E being degrees). With the help of cylindrical coordinates, we can see that we've made a full rotation, but we're in the same spot! This causes the degeneracy of our physical space. But in the Minkowski space, we have time to consider. Our coordinate in this space is denoted by (x,y,z,t). At the beginning of our something's rotation, it's at (x=R,y=0,z=0,t=0), but after making a full rotation, we now have (x=R,y=0,z=0,t=T). Clearly, these two state coordinates are not equivalent, and thus there is no more degeneracy. In other words, our something was someplace, then some time passed. During this time, our something could move or stay put, but it's state is always unique!
This is really somewhat of a trivial bit of information, but it was fun to think about since I just read that Minkowski space is Euclidean space tensored with the time dimension. Also, this degeneracy business is really fascinating when applied to other systems and spaces.
