What is your claim here about the dependence of atmospheric C14 and fog?
What do you mean no C14 in the atmosphere if the fog clears.
What evidence are you using to claim there was no C14 4500 years ago?
If we, as I proposed, take the Biblical description on how the atmosphere appeared from the creation to the Flood, and make a conclusion upon that, the following will have to be taken into consideration.
1. Gen 2:5-6 says that in those days it did not rain upon the face of the Earth.
2. A mist rose from the land and watered the whole face of the ground.
3. Taken the Nebual theory into consideration that the Earth was a collection of Liqiod, Solids and Gas, which is the description comming from Genesis and science uses as their model on the formation of the Solar system...
4. Taking modern scientific discoveries that proves the Earth was a wet ball of moist mud with a wet atmosphere surrounding it,
5. using zircon crystals, and silver isotopes. proving the Earth was very wet when it shaped.
6. Discovering at the Kola drill hole that there is huge abbundance of water in the Earths mantle and crust,
7. Taking seismic evidence that huge oceans of water, larger than all the ocians on earth, exists beneath Asia...
8. The Bible described rain lasting 40 days and nights.
9. That a rainbow is said to appear for the first time after the flood of Genesis...
Then there is only one possible wat to deduct the compilation of the atmosphere before and after this flood.
1. It was a gasseous atmosphere much larger than today, containing a lot of water mist / fog.
2. This water fell onto the Earth in 40 days of non stop rain.
Which left a "cleared up" Atmosphere rendering refraction of light in it for the first time.
Now that we can see what the Bible described on how the atmosphere changed from a foggy to clear entity...
one can then think on what effects the C14 production would have had on the earth during this time, and there after.
It means that before the Flood, C14 production would have been very minimal, bit with a clear atmosphere, it would start to form as we expect it does today.
With further deduction, it would be another 1 000 years to have the atmosphere reach the equlibrium science needs to have to determine c14 / c12 values to determine the dates of animal and plant residues.
If any plant and animal samples living before 3500BC is dated, it will show that there is very little C14, not due to radio active decay, but because there were simply no c 14 in the plants that the organism ate!
It is as if one have 2 vases with black marbles in it. (representing 2 samples of charcoal we wish to date.)
One vase has 100 marbles, and the other has only say... 2.
We know the 100 marbles equals the ammount of c14 in 1950, and we can then deduct that using the 5700 halflife years of C14 to N14...
In the first 5700 years there will be 50 marbles left.
in the next 5700 years, only 25.
in the 3rd period 12...
the fourth 6
the 5th period 3..
therefore the scientist will say the date on the vase with 2 marbles is 28 500 years old.
But what will the scientist say if I tell hom the one vase with 2 marbles was starved from filling the vase with 100 marbles, becase there were no marbles to begin with?
If I tell him that the vase was only opened 3500 years ago to receive C14, ...
He will then have to say, yes, the vase is not 28500 years old, but 3500 years of age.
He will also have to agree that if there was no c14, the vase could be less than 6000 years, but show a C14 date of 50 000 years.