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We will show the equivalence of a spin-zero and massless particle moving in a circularly polarized periodic gravitational wave with the 1-d and 4th order Pais-Uhlenbeck oscillator. Then, using the symmetries of the gravitational wave (5 Carroll + 1 homothety + 1 screw isometry), we will derive conserved charges for the Pais-Uhlenbeck oscillator.
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https://wigner-hu.zoom.us/j/98431354928?pwd=U0ExQm1Tem1kNUxRd1hmN2F2d2JuZz09
Meeting ID: 984 3135 4928
Passcode: 340454