Realism is the idea that reality exists independent of observers and naive realism is the idea that we perceive objects as they really are. Both are challenged by the experimental evidence of quantum mechanics and it isn't merely a question of local verses nonlocal realism either.
The latest theories and evidence in quantum mechanics suggest reality is contextual, that is, reality has no demonstrable meaning outside specific contexts. For example, whether the earth looks flat, round, a dimensionless point, or nonexistent just depends on how far way we are. The reality of the earth's existence then can be said to be context dependent and if it has any reality independent of our context such speculations are outside the purview of science.