  The complementarity between signaling and randomness in any communicated
resource that can simulate singlet statistics is generalized by relaxing the
assumption of free will in the choice of measurement settings. We show how to
construct an ontological extension for quantum mechanics (QM) through the
oblivious embedding of a sound simulation protocol in a Newtonian spacetime.
Minkowski or other intermediate spacetimes are ruled out as the locus of the
embedding by virtue of hidden influence inequalities. The complementarity
transferred from a simulation to the extension unifies a number of results
about quantum nonlocality, and implies that special relativity (SR) has a
different significance for the ontological model and for the operational theory
it reproduces. Only the latter, being experimentally accessible, is required to
be Lorentz covariant. There may be certain Lorentz non-covariant elements at
the ontological level, but they will be inaccessible at the operational level
in a valid extension. Certain arguments against the extendability of QM, due to
Conway and Kochen (2009) and Colbeck and Renner (2012), are attributed to their
assumption that the spacetime at the ontological level has Minkowski causal
structure.

Quantum Physics