leads to the conservation of momentum.
Sternberg meticulously details how physical particles are essentially "representations" of specific groups. For example: sternberg group theory and physics
Beyond quantum theory, Sternberg’s work on symplectic geometry (often with collaborators like Victor Guillemin) redefined classical mechanics. A symplectic manifold—a phase space equipped with a closed, non-degenerate 2-form—is the natural home for Hamiltonian dynamics. The group of canonical transformations preserves this symplectic structure. leads to the conservation of momentum