Ah, at last a science post. Thanks. We all can try to emulate you I guess. Hey, by the way, what is your response to this BB?
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Now, looking at the title of the thread I see that the emphasis should be on radioactive decay dating. Here is a thought experiment you can run.
We take 4 tennis balls, with water in them. All connected by little tubes, some thin, some wider. We put the balls on a long board, maybe 7 feet long. The board is tilted, so that we see water flow down from the highest ball, and work it's way down. The angle of the board is only slightly tilted the one way. The top ball is the 'parent' ball. The next one down is connected by a very very thin straw like tube, representing slow decay to the next tennis ball. If the present decay rate is faster, then we have a wider 'straw'. Like isotopes in Uranium, then, or some rock, we have a 'chain' representing parent to daughter decay.
Now, I reach down representing a state change, and tilt the board the other way a similar angle! The parent balls are no longer in that role.
This is a simplified illustration."