In order to analyze – and act upon – this great civilizational revolution, we need new conceptual tools. The present political and social sciences are wanting. They were developed in close symbiosis with industrial era mechanical “hard” sciences. This paper tries to contribute to the effort of building new foundations for the “digital” 21st century political and social sciences by tapping into cognitive sciences and Artificial Intelligence insights – particularly “neural networks” research – as a metaphor for understanding contemporary mutations in social history. Looking at human society’s dynamics as a self-organizing "recurrent neural network," in order to apprehend the path and challenges of future of political power, government and governance.