Hi Ned,
I appreciate your support. Finding someone to discuss this with has been difficult and the resulting clamor may have clouded the issue. I don't know PaulK that well so if you would mentor/monitor. Thanks, it will be short.
Statement of purpose:
To show that while using a simple program and the best numbers I could find, the result which occured was amazing to myself (and another). I am not trying to prove that the earth is flat or round; I am simply making an observation which I thought worth considering: that the resulting years to reach the current level of C14 saturation is very close to the age that some creationists say is the age of the earth. Any extension of it, if done, will be done by someone else as I am not a scientist.
Introduction:
First, I thought that this work was so obvious that there would be no need to state it but I will gladly satisfy the request(s).
At the time I did the work I was not aware of anyone else having done it. I have not been able to locate on the web the explicit statements I will make today though some results I have seen may have been derived by the same method. If PaulK is correct (the variation has been too great to track) then my observation has no scientific value. If Ned is correct (the variation has been at most 10%) then there may be some scientific value.
Development of the idea:
In a discussion I was having about C14, the concept sounded very much like a model of it could fall into the everyday category of money management. Dollars come in and dollars go out - C14 comes in and C14 goes out.
The annuity model came to mind. Starting with a dollar amount, a fixed interest rate, and regular annual payout, how long can the payout be made?
PA (payment_amount) = regular_pay_out
AB (amount_balance) = initial_dollar_amount
IR (interest_rate) = fixed_interest_rate
YR (years) = 0
while AR GT PA
do
AB := AB * ( 1 + IR )
AB := AB - PA
YR := YR + 1
done
The same program could be used for balance owed on a house to see how many years payments would have to be made.
PA := regular_pay_in
AB := initial_loan_balance
IR := fixed_interest_rate
The same program works for predicting how many years it will take to meet a savings goal:
PA := regular_deposit
AB := 0.00
IR := fixed_interest_rate
What about the somewhat different C14 issue? The issue is different because a fixed amount is coming in and a percent is going out. Also, since the amount coming in may vary over time, the indication "current' needed to be added.
Finalization specifically for the C14 issue:
To make the program run faster, the accumulations were annualized. The result will change if a smaller period is used.
CAA := current_C14_annual_accumulation_amount
AB := 0 (accumulated balance in the atmosphere at at year 0)
IR := rate_which_makes_one_half_in_5730_years
A few attempts gave 0.99988 ^ 5730 = 0.50+
In the money management programs the goal was always zero or an amount. In the C14 version a parameter is needed to indicate how far along the saturation process is (100% is never reached though 100,000 years brings it close). Also the saturation amount is not known but the saturation condition is recognizable in that the accumulations will equal the decays.
CAD := current_C14_annual_decay_amount
IDA (iteration_decay_amount) = 0
IAD will approach the current_annual_decays
while IDA LT CAD
do
IDA := AB * ( 1.0 - 0.99988 )
AB := AB + CAA - IAD
YR := YR + 1
done
I could not cut-and-paste my program so please be gentle with this untested version.
Back in 1978 when I assigned CAA the value 22 and CAD the value 17 (accumulations/decays persecond annualized), the result was 13,600. On a modern computer today, the result was around 12,500. Please evaluate the (intended) program then provide current accumulation and decay values and let's see what comes out. If it is around 12,000 years then I ask is it possible that a new atmosphere was placed on the earth around 12,000 years ago.
Thank you for your patience,
Bob, Alice, and Eve
Edited to clarify 22 and 17 as per second annualized.
This message has been edited by BobAliceEve, 05-11-2004 03:32 PM