The Calculated Spirit: Bridging Mathematics, Psychology and Physics

This book speaks about duality and unity in nature as being the basic properties of human communication which is the only tangible aspect of being. This dialectic perspective is poured into a mathematical language resembling that of super Lie algebra's. We study the associated Bogoliubov transformations and develop a dynamical principle regarding a particular choice projector on one of the opposed extremes; the protagonist and antagonist. An associated study of language, from the mathematical point of view, reveals an accurate formulation of coherent versus totally incoherent thinking. Whereas the mind prefers alikes, Physics must serve as the renunciator between opposites, at least on (much) shorter distance scales. Hence Physics resides in the common patterns in coherent versus totally incoherent thinking bringing together the smartest and dumbest spirits. It is shown that this perspective leads uniquely to the particles of the super symmetric standard model from a string point of view, including gravitation. Indeed, there is a maximal symmetry between the number of Fermions, Gauge Bosons and Superparticles which come in 12 each. Applications in sociology are discussed.