Post-Carrollian Mechanics and Gravity
Abstract: In this talk, we begin with a brief overview of Carrollian symmetry—an analogue of Galilean symmetry—both arising as distinct contractions of Poincaré symmetry. We then introduce post-Carrollian mechanics, a framework analogous to Newtonian mechanics, featuring well-defined notions of energy, momentum, an energy-momentum relation, and a Carrollian version of Newton’s second law of motion. We further present the post-Carroll-Schrödinger equation, a quantum analogue adapted to this regime. Finally, we discuss the post-Carrollian gravitational field, which emerges as radially outward—a striking departure from the inward-directed nature of Newtonian gravity.