The energy spectrum of Cosmic Rays (CR) is a perfect example of a situation when the subject of studies is unique. Thus, trying to explain it, one does not have to relay on the `most probable' or `average' solution. The phenomenon as we see it, here and now, could be the result of the particular chain of coincidences. If only this chain is not `very impossible' it can be just the right solution. In this paper we would like to examine the idea of the Single Source Model (SSM) of Erlykin and Wolfendale for the whole CR spectrum. We will show that the origin of extremely high energy particles is quite consistent with the model. Our main conclusion is that no new physics `beyond the GZK energy' is needed.

PACS numbers: 96.40.--z, 98.70.Sa