Please explain how cosmogenic nublide oscillation has anything to do with circular reasoning with respect to index fossils? Your link certainly does not, nor does it put any radiometric dating method into question in the slightest.
Sure it does. If the amount of C14 varies according to solar activity - then unless you know what the sun was doing at all times in the past - your basis of C14 content is invalid.
Carbon-14 - Wikipedia, the free encyclopedia
"As of 2008, the rate of carbon-14 production was poorly known while the reaction can be modelled or the current concentrations and the global carbon budget can be used to backtrack, attempts to directly measure the production rate had not agreed with these models very well..."
"...Production rates vary because of changes to the cosmic ray flux incident, such as supernovae, and due to variations in the Earth's magnetic field. The latter can create significant variations in carbon-14 production rates, although the changes of the carbon cycle can make these effects difficult to tease out."
Cosmic RaysHit Space Age High - NASA Science
"In 2009, cosmic ray intensities have increased 19% beyond anything we've seen in the past 50 years," ..."
"Hundreds of years ago, cosmic ray fluxes were at least 200% to 300% higher than anything measured during the Space Age."
Although we can discount any theory which relies on cosmic rays anyways, since the data shows mainstream's cosmic ray theory is evidently wrong:
Voyager 1 Discovers Bizarre and Baffling Region at Edge of Solar System | WIRED
"So whats the problem? Well, if the solar wind was completely gone, galactic cosmic rays should be streaming in from all directions. Instead, Voyager found them coming preferentially from one direction"
As a matter of fact - all their models were incorrect:
Heliosphere - Wikipedia, the free encyclopedia
"The IBEX results are truly remarkable! What we are seeing in these maps does not match with any of the previous theoretical models of this region."
So we will ignore C14 varies according to solar activity - varies according to cosmic ray influxes - which models were all wrong - and ignore decay rates change with energy content - all so we can keep preaching the same old falsified dogma we have always preached?
I fail to see anything scientific in that stance.