Einstein’s geometry of special relativity was based on the Michaelson Morley experiment. This lead to the imposition of a maximal velocity which was a huge departure from Newtonian mechanics in which infinite velocity is possible. Then came the various science fiction effects like time dilatation, space contraction and so on. We adopt a different view point, namely, non-commutated space time. This concept comes if there is a limit to the smallness of space and time. This has the advantage of overcoming the ugly infinity in quantum field theory. We point out that this requirement leads to a maximal velocity and consider a practical situation where this holds good.