A Possible Hamiltonian of Social Communities Dynamics

A Possible Hamiltonian of Social Communities Dynamics

People intentionality within social network com- munity may be seen as a further physical feature of those agents. In this perspective we study the Hamiltonian of a set of particles having a cognitive potential field in addition to the physical ones related to their mass and velocity, in a force field where masses and strengths have a cognitive value as well. This allows us to study the grouping dynamics of community members as the results of two contrasting impulses: the attraction toward best information sources and the repulsion toward people reasoning in a similar way. The simulation results of these dynamics are highly evoking. But the synthesis of meaningful laws of this extended physical field is still far to be achieved.