Researchers who use results from these dating methods to conclude that rock sample dates are evidence of a millions or billions-year-old Earth are simply not using a legitimate scientific method.
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Assumptions 2, 3, 4, and 5 are all closed-system assumptions that are not realistic, especially in secular deep-time frames.
Assumption 8 is strongly dependent on the methodology used and the personnel making the measurements.
So, a flux monitor of known age is irradiated with the rock sample, and the measured Ar ratio for that monitor, or standard, provides the J for that particular irradiation.
Two questions immediately arise: How do we know the age of the flux monitor, and how good is the assumption that Ar are unaffected by the irradiation process?
The family of potassium feldspars have a wide range of blocking temperatures (~900°C to 135°C), and therefore assumption 10 is not generally applicable—meaning one cannot definitively differentiate between a true isochron and a mixing line (an imperfect mixing of two or more rock types).
Methods of correcting for atmospheric absorption of argon are still quite hypothetical, making assumption 11 questionable.
This method avoids the homogeneity problem for whole-rock samples by only measuring isotope ratios of Ar, and it avoids the need for an index isotope such as Ar.
It also avoids the problem of accurately measuring the absolute concentrations of potassium and argon (assumption 8), so it is most often used to date very small or very rare samples such as meteorites or lunar rocks and minerals.
They are listed in Faure’s age—this is clearly a circular methodology!