“…In this case, the use of techniques based on orbital angular momentum and twisted light in the vicinity of the BH appears promising, although for Sgr A * the use of these techniques may be challenging due to its very short dynamical timescale [85,1555,1556]. In closing, we further note that VLBI images allow for a wide variety of tests of fundamental physics beyond those we have considered here, including but not limited to tests of the equivalence principle based on multi-frequency images [105], to probes of ultra-light particles and other aspects of fundamental physics based on shadow evolution [92,150,159,169], spin measurements [1557], and polarimetric measurements [1558,1559], and various tests of fundamental physics based on the BH photon ring, its auto-correlation, and other probes [40,169,[1560][1561][1562][1563][1564]. Studies on these and related possibilities are underway, and we expect to report on these in future works.…”