During our recent diversion into imaginary time, we saw that using the imaginary unit to indicate time can simplify our efforts to express spacetime, but we hit the natural problem in that this benefit vanishes when we tried to introduce more than one spatial dimension. What if, however, we flipped it? When discussing the geometric meaning of the metric tensor, we noted that we don't need to use a negative time signature, we can also use a negative space signature. Can we use imaginary space and still have three spatial dimensions?
