Matthew A. Trump
A century after Darwin: the role of dynamical time in many-body relativistic systems
The year 2020 marks the one hundredth anniversary of the introduction of the Darwin Lagrangian, one of the most significant advances in relativistic dynamics both on a classical and quantum level. In many ways, this landmark equation remains the "state-of-the-art" for many-body relativistic systems with interaction. In this talk we explore the history and significance of this equation, as well as subsequent advances in relativistic theory since its introduction. In particular we explore its connection to the role of dynamical time in many-body relativistic systems with interaction, including the classical Stueckelberg-Horwitz-Piron theory.