These things can't be picked in the first place, unless the observer, the observed and the tool of observation share a common principle, which is exactly invariant AND variant linkage.
Again, no science of any kind can be done without this principle.
If you think that this principle has no value, then please show how Science can be done without it.
First off, I want to thank you exactly enough for oh-so-helpfully linking to a "research" behind a paywall. If it were not for realpaladin, it might even look as if you were linking to a "research" you found by title only, without reading it.
(Thanks for the .pdf, realpaladin!)
I will read the Article and comment later.
Second, there are two errors in your highlighted sentence.
A)no one has said that you "principle"
has no value but that it is
incorrect.
B) it is not up to me, or anyone else, to show science "being done"
without your "principle"; instead, it is, as it has been all along (here and in other venues, apparently), up to
you to demonstrate that science
cannot be "done"
without your principle.
(Frankly, as to that last, I would settle, as a start, for any indication of any science being "done"
dependent upon your "principle".)