RCD gluing conjecture for noncollapsed spaces with boundary

For $i=0,1$, let $X_i$ be noncollapsed $RCD(K,n)$ spaces with nonempty boundary $\partial X_i$. Suppose there exists an isometry

$$\mathcal I:\partial X_0\rightarrow \partial X_1.$$

RCD gluing conjecture. The glued metric measure space

$$(X_0\cup_{\mathcal I} X_1, \mathcal H^n_{X_0\cup_{\mathcal I} X_1})$$

satisfies the condition $RCD(K,n)$. This extends the known gluing result for Alexandrov spaces with curvature bounded below and the corresponding $CD^*(K,N)$ condition to general noncollapsed $RCD$ spaces; the conjecture is motivated by the expectation that natural notions of boundary for such spaces coincide and that the boundary is closed in the ambient space.