Lorentz Transformation in Flat 5D Complex-Hyperbolic Space

The Lorentz transfomation is derived in 5D flat pseudo-complex affine space or TT Space. The TT space or pseudo-Complex space accomodates one uncompactified time-like extra dimension. It is shown that the maximum allowable speed for particles living in TT space exceeds the speed of light, c, the absolute speed of the Minkowski space.