  In this short note, we repeat the calculations the jumps for the specific
heat C$_{\sigma_{xy}}$, the elastic compliance S$_{xyxy}^{\sigma_{xy}}$ and the
thermal expansion $\alpha_{\sigma_{xy}}$ due to a shear stress $\sigma_{xy}$ in
the basal plane of $Sr_2RuO_4$. Henceforth we clarify some issues regarding the
elastic theoretical framework suitable to explain the sound speed experiments
of Lupien et al. (2001,2002), and partially the strain experiments of Hicks et
al. (2014), and Steppke et al. (2016) in strontium ruthenate. We continue to
propose that the discontinuity in the elastic constant C$_{xyxy}$ of this
tetragonal crystal gives unambiguous experimental evidence that the
superconducting order parameter $\Psi$ has two components with a broken
time-reversal symmetry state, and that the $\gamma$ band couples the
anisotropic electron-phonon interaction to the $[xy]$ in-plane shear stress
according to Walker and collaborators [4] and [3]. Some importants words about
the roll of the spin equal to one for the transversal phonons are added in the
conclusion following Levine [34].
