Gravitational memory effects and higher derivative actions

We show that charges associated with the internal Lorentz symmetries of general relativity, higher derivative boundary terms included in action, capture observable gravitational wave effects. In particular, Gauss-Bonnet charge measures precession rate a freely-falling gyroscope, while Pontryagin encodes relative radial acceleration test masses. This relation highlights importance tetrad formalism and physical significance asymptotic symmetries.