This chapter takes a multidisciplinary perspective to examine a fundamentally novel approach to the agency and field-based nonlocal organization of digitally interconnected social systems. The main theoretical cornerstone of the new modeling approach (OSIMAS-oscillation-based multi-agent system) is built on the premises of an agent as a coherent system of oscillations. In our approach, the theoretical assumptions of the oscillating agent model are backed up with experimental brain-imaging studies inspired by cognitive neuroscience (electroencephalography-EEG), which reveal people's states of mind in terms of the specific distribution of coherent brainwaves. Based on the premises of OSIMAS and our experimental findings, in this chapter we review our two different approaches to the construction of oscillating agent models: (1) phonons as vibrating quanta, and (2) quantum mechanical wave function. Both approaches are designated for the simulation of the oscillating agent model and subsequently field-like nonlocal social interactions. Some initial work-in-progress simulation results of stylized local and nonlocal excitation propagation in the social mediums are also provided in the final section.