This paper introduces Social Operators as central elements of Socio-Physics, providing a functional grammar for the relational execution of social and psychological processes. It postulates a fundamental isomorphism between these processes and physical fundamental forces as well as mathematical operations, thereby translating sociological phenomena into an exact relational calculus. This enables the quantitative calculation of system stability, group resonance, and informational entropy, as well as the control of the transition from indeterminate potential (Relatio 0) to stable structures (Relatio 1). Based on an interdisciplinary genealogy—from precursors such as Kurt Lewin, Jacob Moreno, Nicholas Rashevsky, and Alain Badiou—operators such as Fusion (+), Difference (-), Autopoiesis (↺), and Entanglement (⊗) are axiomatically formalized and applied to psychological paradigms. The model integrates thermodynamic principles (e.g., Landauer Limit), offers measurable parameters (e.g., EEG correlations), and strict falsification criteria, supplemented by empirical appendices on systemic efficiency and neuronal inversion.