Again you provide a link that doesn't support your claim.
Because I didn't care what the paper was supposed to show. I chose it because
1) Most people would agree that
PNAS is a fairly reputable journal, and while not as technical and carefully reviewed as
Scientific American or
The Wall Street Journal, it does have a reputation like other minor journals such as
Science,
Nature, Physical Review Letters, and similar journals
and
2) because it says "spooky action at a distance must be accepted as a fact of nature"
In what way does that support your claim of spooky action at a distance? None whatsoever.
Couldn't agree more. That study does not support my claim about spooky action at a distance. Instead, it starts out with by noting that this is a fact of nature.
Secondly, do you know that Einstein was wrong about spooky action at a distance, and none of those people who have carried his torch were not able to prove it?
Of course I know he was wrong. Because the reason he called it "spooky action at a distance" was because he believed it to be a main indication that quantum physics was incomplete. Clearly, such "spooky action" can't occur, so he set out trying to show this (so did Bell, actually). And it turns out that Einstein was incorrect. The "spooky actions" he referred to were first experimentally verified by Alain Aspect et al. in 1981 and 82. It's been a few years since then. So physicists have had some time to read Aspect's study once or twice. There may even have been a few other experiments just to make sure (and by "a few" I mean it would be difficult to actually count how many there are, and a lot easier to look only at experiments which have involved things like superposition states of molecules affectionally dubbed
Schrödinger's kittens).
Of course, to date there is no experimental evidence of superluminal signals (at least any that is acknowledged by the physics community at large), but then again there was no experimental evidence of "spooky action at a distance" until 45+ years after EPR. Instead there were thought experiments, arguments, etc., sort of like there are for superluminal signals as we speak (not all of these are freely available unless you happen to access to ScienceDirect and similar databases):
Selleri, F. (2006). Superluminal signals and the resolution of the causal paradox.
Foundations of Physics,
36(3), 443-463.
GHIRARDI, G., & ROMANO, R. (2012). On a proposal of superluminal communication.
Journal of physics. A, Mathematical and theoretical,
45(23).
Weinstein, S. (2006).
Superluminal signaling and relativity.
Synthese,
148(2), 381-399.
Jensen, R. (2010, January).
On using Greenberger‐Horne‐Zeilinger three‐particle states for superluminal communication. In
AIP Conference Proceedings (Vol. 1208, p. 274).
Garber, V. (2011). Explaining quantum entanglement as interactions mediated by a new superluminal field.
Physics Essays,
24(2), 175-180.
Again, none of these (and other similar papers) are widely accepted and to date (so far as I know) there has not been any experimental realization of superluminal signals.
EDIT: I almost forgot. The transition from the "idealized" isolated systems in early quantum physics, when experimental designs continued to try to treat quantum systems like they had classical (i.e., let the system run, then measure) changed many terms but Einstein's description remains. For example, qubits weren't around until fairly recently (after all, von Neumann, Turing, Miller, and others who made the term "bit" popular were still explaining the term in the 1950s (e.g.,
The Magical Number Seven, Plus or Minus Two). Yet even here, in descriptions of methods, procedures, and current work on e.g., entanglement of atoms and qubits has held on to Einstein's famous quip:
"These oscillations result from a Ramsey-type interference process. As in the quantum memory experiment, the two pulses are applied onto two different atoms.
Phase information is transferred between them by the ‘spooky action at a distance’ resulting from the quantum correlations in the EPR pair."
p. 287
Haroche, S., & Raimond, J-M. (2006).
Exploring the Quantum: Atoms, Cavities and Photons (
Oxford Graduate Texts). Oxford University Press