The computational modeling and simulation of social phenomena based on social theory as a theoretical framework is a challenging endeavor. Mainly, due to the difficulties to translate abstract conceptualizations of the social sciences into formal languages. The main goal of this paper is the translation of some Luhmann's concepts such as perturbation, dissipation, social communication and power, into a model using a spatial social subsystem as a metaphor, to make more concrete these very abstract concepts. The model has been used to improve the social theory understanding and to evaluate the effect of different parameterization in the global stabilization and authorities' distribution. It has been designed to comply with the Luhmann's social theory, and to be scalable and simple to understand. The experiment implemented one instantiation of the proposed model and showed how it can be used to evaluate a micro-macro interaction based on a simple mechanism of Luhmannian social communication.