Okay... beginning to address some of the issues here.
Many people claim to understand Einstein's E=MC2 equation, and even to know where it went wrong (and then promptly prove that they have no idea what
it really means by doing some rather goofy math with it.) So, in order to begin to examine your question thoroughly, you need to be able to read
Einstein's original paper and understand it and understand all the math in it (the "E" in that famous equation (as the footnote says) is actually
an "L".)
It's here. Don't worry -- it's short -- only one page! :
www.fourmilab.ch...
When you understand it, you should be able to answer the question in his title and explain your answer.
Now, that's one of the foundation papers to understanding quantum physics. The direction you were trying to examine involves something called
"Quantum Entanglement" and here is one of the very first papers written on it:
www.hep.princeton.edu...
To start to really understand the subject, you need to read those two short papers and start looking up all the things that make you go "huh?" You
won't be an expert after that, but you're going to start to understand some things about Quantum Entanglement and why the pages you found as
reference are simply someone's invention of an idea of what they think it all means.
Here's the rest of the reading list in order to start understanding quantum mechanics. You should be able to understand the terms and at least
understand what the math symbols stand for and what operations are being done :
1.
puhep1.princeton.edu...
2.
arxiv.org... (the Bohman equations are a foundation)
3.
www.ecse.rpi.edu...
* a quick "reader's digest" version of some of the contributions in the above papers is here:
blue.butler.edu...
...and yes, over the course of a lifetime, I've read these. I stumble through the math, but I understand where it's going and what they're talking
about.
LIST OF TOPICS YOU CAN DO QUICK READS ON TO UNDERSTAND MORE ABOUT QUANTUM PHYSICS:
A 1957 (half a century out of date) article on early quantum mechanics. From an encyclopedia, so it's actually readable:
hep.princeton.edu...
Going deeper, read up on:
* quantum superposition
* Heisenberg's uncertainty principle
* the "collapse" of the wave function
* introduction to Dirac notation
* Hilbert spaces (these are fun!)
* unitary transformations
* quantum measurement.
* quantum computation (Wikipedia is your buddy on this one)
* Quantum information theory
* Quantum error-correcting codes (do a Wikipedia read)
* Quantum complexity theory (Wikipedia. Trust me.)
* quantum entanglement and locality
* Topological quantum computing (Wikipedia. Again.
* Quantum knots
arxiv.org...
And a fun (and readable) article on proposed "how quantum computing works" is here:
marcuslab.harvard.edu...
So... once you've got those basics, then you could start with this paper on quantum mechanics which deals with "faster than light" theories such as
you were asking about -- from the REAL quantum mechanics perspective:
arxiv.org...
An interesting thing to consider is the "spooky action at a distance" (real name) principle. I know one of the researchers doing work on this, and
I know that their work sometimes gets inserted (and badly) into material on faith. Spooky action appears to work only at the quantum level, but if it
can be proved then it raises some very interesting questions about the behavior of things:
arxiv.org...
(I think that Spooky Action is my second favorite quantum physics idea. Hilbert's my favorite.)