This paper stands for an analytical approach modelling and exploring an evolutionary-space oriented business-domains. The space that we consider is intended to be complex emerging a set of heterogeneous evolutionary business-agents (e.g. Factories, Restaurants, etc.); it accordingly stimulates an analytical multi-layered structure headed for a hyper-space navigational framework. Agents have multiple-states based on analytical characteristics (analytical dimensions), they are multidimensional and interdependable; they evolve, interact and transit. This approach aims to provide key features that illustrate the hyper-space framework basis and foundations. Finally, an instructive case study is given at the end of this document.