Well, let’s look at this.
The assumption that C14’s decay rate does not and has not changed: we base this assumption on what we know about nuclear physics now. There is no mechanism by which the stability of the C14 nucleus could be changed.
(A sidebar: changing our assumptions would mean rebuilding a lot of science from the ground up. You can’t do just one thing.)
Now, of course, a thousand well-reasoned theories are never comparable to a hard fact. If it could be shown that C14’s decay rate does change under certain circumstances, we’d just have to say, “Oh well, so much for current science” and start over (maybe we’d be able to save much of it by saying, “OK, it’s not exactly true, but under most circumstances it’s a pretty good approximation, like Newtonian mechanics is.”)
But, I don’t believe that there is evidence that C14’s decay rate has changed or can be changed.
Now, the criticism that the production of C14 has changed significantly has a little more room to stand in. C14 is produced by cosmic secondaries in the upper atmosphere from N14 (the by far more common stable isotope); it then decays back to N14. Now, N14 is obviously volatile; under most circumstances we cannot count on it’s lingering in once-living tissue for a ratio of C14/N14 to be detected. Instead, the actual amount of radiocarbon must be measured, which can leave room for error.
OTOH, the assumption that C14 production has changed enough to introduce serious error into dating is not one that can be satisfied by invoking minor changes in the irradiation of the Earth. We need (doing a BOTEC, which could easily be inaccurate) two or three orders of magnitude of increase in iradiation over the past few millennia to mess up C14 dating that much. Moreover, radioactive decays such as Rb87->Sr87 and the upper reaches of the uranium and thorium decays chains, which don’t involve volatile fractions, and don’t involve progenitors created by cosmic radiation, give ages of terrestrial rocks of millions and billions of years. Invoking a major change in irradiation could, in theory at least, mess up dating of recent prehistorical and quasihistorical times, but it’s not going to save “young earth” creationism.
Now looking at the specific points mentioned:
[ul]
[li]“Methuselah, a bristlecone pine tree in California is estimated to be 4,600 years old.” So?[/li][li]“A similar tree, believed to be older, was cut down for research.” OK, accepted (although I don’t know why it would be necesary to cut it down; neither dendrochronology nor carbon dating require it).[/li][li]“This second tree’s radiocarbon readings were compared with its growth rings.” and “This comparison showed a discrepency.” A question that immediately springs to mind is: how big a discrepancy? Radiocarbon dates are never given, to my knowledge, as “X years B.P” (before present), but “X ± Y years B.P.” (I suppose that some careless or unscrupulous person might have quoted the date as “X years B.P”, giving the impression of a precision that isn’t there).[/li][/ul]
Point #1 seems irrelevant, unless I’m missing something. Points #2 and #3 both differ enough from accepted practice that I require a little more evidence to show that someone did what is not ordinarily done.