PomeRemark 17.13.30.E10A1DEDC7AF One could also consider geodesic rays emanating from another potential $\Phi \in \mathcal{E}(X,\theta ;\phi )$. In this case, one can show that these geodesic rays are in bijection with $\Phi $-twisted test curves: In definition 17.12.1, we replace 2 by the following condition:
\[ P_{\theta }\left[\Gamma _{\tau }\right](\Phi )=\Gamma _{\tau }. \]
Furthermore, we require that $\Gamma _{-\infty }=\Phi $.
The above results equally work in the twisted setting. The proofs are almost identical to the untwisted case.
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