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Brian Dolan (Maynooth University)

Title: Revisiting the CTP Theorem: the Quaternion Group and Discrete
Symmetries of the Lorentz Group

Abstract: Parity and time reversal, P and T, generate a discrete sub-group of the Lorentz group. Depending on the choice of phases in the definitions of P and T there is a family of possible sub-groups when acting on fermions, called di-cyclic groups (generalisations of the dihedral groups familiar from crystallography). When charge conjugation is included one special group is picked out, the eight component quaternion group.

We propose a two-slit experiment to measure the phase P when acting on fermions. In principle the T-parity of a neutral meson is observable and the CTP theorem dictates that T=CP.

Talk – Video

Talk – Slides