  Alternatives to the usual general relativity (GR) Riemannian framework
include Riemann-Cartan and teleparallel geometry. The ``teleparallel equivalent
of GR" (TEGR, aka GR${}_{||}$) has certain virtues, however there have been
allegations of serious source coupling limitations. Now it is quite
straightforward to show that the coupled dynamical field equations of
Einstein's GR with any source can be accurately represented in terms of any
other connection, in particular teleparallel geometry. Using an argument
similar to one used long ago to show the "effective equivalence" between GR and
the Einstein-Cartan theory, we construct the teleparallel action which is
equivalent to a given Riemanian one; thereby finding the ``effectively
equivalent" coupling principle for all sources, including spinors. No auxiliary
field is required. Can one decide which is the real "physical" geometry?
Invoking the minimal coupling principle may give a unique answer.
