I don't think you realize how large of a number 2^155 is. The number of atoms comprising the entire planet earth is on the order of 10^49 or 2^162 [0]. Thus, to store all possible chess positions using only the material available on planet earth you'd have only 2^7 or 128 atoms available to store each one. All of this is ignoring the amount of energy you'd need to operate such a device, which is even more staggering.

[0] http://www.fnal.gov/pub/science/inquiring/questions/atoms.ht...