If you’ve ever spent an afternoon with a Rubik’s Cube, you already understand the soul of group theory: it’s the mathematics of doing and undoing , of symmetry and transformation. But when a mathematician like Shlomo Sternberg looks at a group, he doesn’t just see a set of abstract moves. He sees the deep grammar of physical law.
Over the last two years, a new approach to the holographic principle (AdS/CFT correspondence) has emerged, called "symplectic holography." Here, the boundary QFT’s operator algebra is constructed from the symplectic structure of the bulk gravity theory. sternberg group theory and physics new
Another Sternberg hallmark is the use of (the mathematics of phase space) to unify classical and quantum mechanics. In his work with Kostant and Souriau, he helped formalize geometric quantization —a procedure that turns a classical phase space into a quantum Hilbert space. If you’ve ever spent an afternoon with a