A Quest for a Science of Social Dynamics

Humans are social beings. Social interactions inform the state of an individual in society. We proposed a new social field theory in order to define the state in terms of Hamiltonian of an individual. In a multi-dimensional social field, social interactions are conceived in terms of the energetic exchanges of various fluxes including information. Such exchanges govern the change of states of an individual. The transport equations of change for an individual and ensemble of individuals include source terms and power dynamics. For an ensemble of individuals, the equation takes a form of an implicit Fokker-Planck equation. A target of this paper is to formulate the “equations of motion for social systems” Wolfgang Weidlich has long sought for. Lotka-Volterra equations can be derived from the proposed equations of motion for the social field.