EXAMPLES. “In each case, the pair of relative geometry metric and reference frame metric represent metrics general relativity does not distinguish between, where a space-time originating in information exchange would do so, i.e. in agreement with different physics being observed (in terms of particle paths) for the two distinct scenarios (obstacles vs not).”
https://link.springer.com/content/pdf/10.1007/JHEP07(2019)140.pdf