Kick-off event: AI and the future of mathematics and physics - 21.10.2026
In light of recent developments, the incoming kick-off event at the Institut Henri Poincaré will take the form of a debate gathering mathematicians and theoretical physicists around the role of AI in the practice of research. More information will come soon.
Theoretical Physics
Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator
byMahmut Elbistan
Abstract:The “Bargmann framework” allows us to prove the equivalence of the Pais-Uhlenbeck oscillator with a spin-zero particle in a circularly polarized periodic gravitational wave. Pushing forward the symmetries (which include Carroll symmetry) of the latter, we derive conserved charges for the Pais-Uhlenbeck oscillator.
Keywords:
Eisenhart-Duval, lift, Carroll group, Pais-Uhlenbeck oscillator, ion traps.