And we don't know if the laws of physics changed yesterday and that fire classified as an arson was just a case of the chemical properties of the wood changing such that the flash point of it at its surface was the same as gasoline. When it flashed over, it only looked like an accelerant was placed there. No crime....just an accident of physics.

The real answer here is that you don't know about radioactive decay or research into it. However, the conclusions drawn from that research run counter to your belief system so they must be wrong.

I have asked these things before:
1. Please provide a quote from a textbook published in 1976 or later that states the Earth is only 300 million years old.
2. Please provide a quote from a recent (1990 or newer) science textbook that says the Earth is over 6 billion years old.


Let's look at that intellectual integrity.

Radioactive decay depends upon the amount of material present. That means the number of atoms that will decay at any one time depends on the number of atoms that are there. This can be expressed with the differential equation below.


This basically means that the change in the number of atoms (dN) per unit time (dt) is proportional(using the variable lambda) to the number of atoms present at that time (N).

The solution for that differential equation is:

It is this equation that describes the exponential decay function.

So, the assumption that the physicists are really making in determination of the decay curves is the one that says the number of atoms decaying at any moment depends upon the number of atoms present at that moment. Admittedly, this is a statistical function but the large number of atoms present (6.02 times 10^23 atoms in 238 grams of U-238...for example) typically make it a very close approximation.

Are you saying that the assumption of radioactive decay depending upon the number of atoms present is incorrect for long-lived isotopes?

What you have left is the assumption that radioactive decay rates haven't changed over the time that Earth has existed. You and the RATE project group say that the radioactive isotope half lives have changed. Got some evidence?

BTW: The RATE researchers don't dispute the exponential nature of radioactive decay.