Yes, at the fringes of known physics, as you say. My point is that this question is not at the fringes known physics. Earth and Alpha Centauri are not near the

Yes, at the fringes of known physics, as you say. My point is that this question is not at the fringes known physics. Earth and Alpha Centauri are not near the singularity of a black hole and special relativity is perfectly adequate to predict that events now on Earth will take some time to influence events on Alpha Centauri.