What Happened with the Carbon 14 over Created Time?

What Happened with the Carbon 14 over Created Time? · Value of 3 pmC Points?

Let's first take, in some detail, a scenario that did not happen.

No Carbon 14 was created at creation, from day 4 carbon 14 has been produced at the present rate and within Biblical time this has reached a stable 100 pmC at least 2000 years ago. Here is, most of the rest, why:

In 5730 years, any sample, including the big sample called the atmosphere, loses exactly 50 % of its carbon 14 ratio as it stands in relation to carbon 12. But the atmospheric content is by hypothesis stable. This means that 50 % of the 100 pmC, of the total present atmospheric content (or ratio to carbon 12) is replaced each 5730 years, as long as the production is at the present rate.

So, in the first 5730 years, you get up to 50 pmC. In the next 5730 years you get another 50 pmC, and you might expect that 50 + 50 = 100, so after 11 460 years you have 100 pmC. No, that's forgetting that the original 50 pmC will decay during the second spell of 5730 years, they will exactly go down to half, that is from 50 to 25 pmC, so after two halflives you would have 75 pmC, not 100.

To check, let's subdivide ... two halflives are eight times a quarter of a halflife, eight times 1432 years and a half. This obviously also adds up to 11 460, which is already beyond the Biblical timeline.

In a quarter of a halflife, 100 pmC go down to 84.09 pmC - as has in fact happened from AD 588 to our day. Any sample cut off from atmosphere in 588 AD should have 84.09 pmC (corrected for pre-industrial values for the C-14 ratio for 100 pmC). But this means, the atmosphere needs to get 15.91 pmC points in new production of C-14 to stay at 100 pmC.

So, in any subdivided example, we would get 8 times and input of 15.91 pmC points, theoretically (if there were no decay) adding up to 127.28 pmC. In actual fact, the first batch of 15.91 pmC points is in that case decaying for seven quarters of a halflifen the next through six quarters of a half life and so on. You add the remainder of the inputs from earliest to latest, they are:

4.73		9.46
5.67		11.25
6.69		13.38
7.96		15.91 pmC

and they add up to:

75.06 pmC

which is pretty close to the 75 pmC we would get after two not subdivided halflives. So, subdivision doesn't change the rate.

Would a third halflife do it? No, while another 50 pmC are forming, the 75 pmC decay to 37.5 pmC, giving 87.5 pmC in total.

In a fourth halflife, this would shrink to 43.75 pmC, and after that the total with the new 50 would be 93.75.

So, 4 halflives = 4 * 5730 years = 22 920 years. This would bring us clearly off the Biblical timeline which was one of the characteristics.

What are then the options?

• we are in Anno Mundi way beyond 7219 - against Catholic theology, as expressed in Church Fathers and in Roman Martyrology for 25th of December, I pick it NOT;
• we have not yet reached a stable level of carbon 14 - against the observation that we get correct carbon dates with a consistent half life if assuming the level of 100 pmC for the last 2000 years, maybe a bit beyond, I pick it NOT;
• creation included carbon 14 in levels roughly comparable to ours from creation - leads to either denial of very old carbon dates or to accepting carbon dates that go against Biblical chronology at face value, I pick it NOT;
• the original creation was radically poorer in carbon 14 and yet we have since then reached stable levels in less than 22 920 years, means that carbon 14 has been forming faster in the past : this is my pick.

And this is where my research into "how much faster" as well as "what carbon dates translate to what real Biblical dates" began a few evenings before this post:

New blog on the kid : Datation de Carbone 14, comment ça carre avec la Chronologie Biblique
https://nov9blogg9.blogspot.com/2015/10/datation-de-carbone-14-comment-ca-carre.html

As you can see from the links in the top of what's under the title of the post, it led quickly to a few more posts, and to a table using Fibonacci sequences for modelling shrinking additions along history:

New blog on the kid : Avec un peu d'aide de Fibonacci ... j'ai une table, presque correcte
http://nov9blogg9.blogspot.com/2015/10/avec-un-peu-daide-de-fibonacci-jai-une.html

Now after several improvements, I have this:

New blog on the kid : Tables de carbone 14 sur les bases révisées (I - VI)
https://nov9blogg9.blogspot.com/2020/06/tables-de-carbone-14-sur-les-bases.html

New blog on the kid : Tables continués (VI - IX)
https://nov9blogg9.blogspot.com/2020/06/tables-continues-vi-ix.html

Written in Paris, Octave of Sts Peter and Paul
6.VII.2020

Hans Georg Lundahl