So you're saying the earth has gone around the sun 4.5 billion times?
Plus a bit. That's what being 4.5 billion years old means.
Although actually I'm not saying that, I'm saying that the earth has been in existence for the duration of approximately 1.3199 x 10[sup]27[/sup] periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom.
The sun is irrelevant, here.
Anyway, the point I was making is not that I think the earth has been in existence for 1.3199 x 10[sup]27[/sup] caesium transitions, but that's what it means when you say you accept that the earth is 4.5 billion years old, but that contradicts your belief that the earth has existed for 6100 years. That would mean the earth is 6100 years old. The terms are interchangeable.
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Might be I'll do that next year... geology is interesting.