These bases are common to the conventual dating of recent 3 millennia usually shared by us Creationists, to conventual dating giving "30 000 years ago" and to my recalibration of less recent millennia, with time implications calibrated between real time since and carbon mirage from start.
Whichever be the nature of the crude carbon time implications, the sizes are the same before calibration, and here is how I get these:
0.5^(1/16) 0.5^(1/256)
0.5^(2/16) 0.5^(2/256)
...
0.5^(15/16) 0.5^(15/256)
0.5^(16/16) 0.5^(16/256)
So, I use fraction 1/16 to 16/16, 1/256 to 16/256 (=1/16) for what power I raise the decimal fraction 0.5 to.
5730*(1/16) 5730*(1/256)
5730*(2/16) 5730*(2/256)
...
5730*(15/16) 5730*(15/256)
5730*(16/16) 5730*(16/256)
Here it is the years of the halflife which are multiplied with the same fractions. These go together. After 5730 years "times 16/16" (which is simply 5730 years), I get 0.5 "to the power of 16/16" (which is simply 0.5 or half) of the C14 level I start with. If I doubled the years, I'd have to raise 0.5 to 2 and get 0.25. But here is simply shorter spans of time, since any one that is longer, I can take 5730 or multiples of it and for the fraction I can halve it.
Long | Short | |||||
---|---|---|---|---|---|---|
Years | Fraction | Years | Fraction | |||
358.125 | 0.9576032807 | 22.3828125 | 0.99729605609 | |||
716.25 | 0.9170040432 | 44.765625 | 0.99459942348 | |||
1074.375 | 0.87812608019 | 67.1484375 | 0.99191008243 | |||
1432.5 | 0.84089641525 | 89.53125 | 0.98922801319 | |||
1790.625 | 0.80524516597 | 111.9140625 | 0.98655319613 | |||
2148.75 | 0.7711054127 | 134.296875 | 0.98388561162 | |||
2506.875 | 0.73841307297 | 156.6796875 | 0.9812252401 | |||
2865 | 0.70710678119 | 179.0625 | 0.97857206209 | |||
3223.125 | 0.67712777347 | 201.4453125 | 0.97592605812 | |||
3581.25 | 0.64841977733 | 223.828125 | 0.97328720879 | |||
3939.375 | 0.62092890604 | 246.2109375 | 0.97065549476 | |||
4297.5 | 0.5946035575 | 268.59375 | 0.96803089675 | |||
4655.625 | 0.56939431738 | 290.9765625 | 0.96541339549 | |||
5013.75 | 0.54525386633 | 313.359375 | 0.96280297182 | |||
5371.875 | 0.52213689121 | 335.7421875 | 0.96019960658 | |||
5730 | 0.5 | 358.125 | 0.9576032807 | |||
Ultrashort: | ||||||
5730*(1/512) = 11.19140625 | 0.5^(1/512) = 0.99864711289 |
So, suppose I am talking of 5013.75 + 313.359375 + 11.19140625 years, this being 5338.30078125 years, I need to get the fractions 0.54525386633 * 0.96280297182 * 0.99864711289, which is 0.52426181499, or in other words, 5338 years imply 52.426 pmC.
Or, if I talk of 1074.375 - 67.1484375 - 11.19140625 years, which is 996.03515625, I need the fractions, 0.87812608019 / (0.99191008243 * 0.99864711289) which is 0.88648730428, in other words, 996 years imply 88.649 pmC.
Let's check this with carbon 14 dating calculator:
Carbon 14 Dating Calculator
https://www2.math.upenn.edu/~deturck/m170/c14/carbdate.html
I put 5338 years into upper slot of upper square, and calculate the Carbon 14 left as 52.428 pmC. I put 88.649 pmC into upper slot of lower square and get 1000 +/- 5 (and 996 is only 4 less than 1000, so within the margin of error).
By copying the fractions to a paper, I think I have a tool fairly equivalent to the carbon 14 dating calculator. How I calibrate*, and how this relates to what info I think can trump the crude carbon date, is obviously a question of what I think reliable - namely, the Bible.
Hans Georg Lundahl
Paris
St. Sylvester
31.XII.2020
* Creation vs. Evolution : New Tables
https://creavsevolu.blogspot.com/2020/08/new-tables.html
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