lundi 22 janvier 2024

The Revision of I-II, II-III, III-IV May be Unnecessary, BUT Illustrates What I Did When Doing the First Version of New Tables


Have you Really Taken ALL the Factors into Account? · New Tables · Why Should one Use my Tables? · And what are the lineups between archaeology and Bible, in my tables? · Bases of C14 · An example of using previous · Difference with Carbon 14 from Other Radioactive Methods · Tables I-II and II-III and III-IV, Towards a Revision? · The Revision of I-II, II-III, III-IV May be Unnecessary, BUT Illustrates What I Did When Doing the First Version of New Tables · Convergence of Uneven pmC? · [Calculation on paper commented on] · Other Revision of I-II ? · Where I Agree with Uniformitarian Dating Experts

I, II, III, IV are "nodes" = material things which can be carbon dated and also historically dated, archaeology with organic material meeting (mostly) Biblical history.

I—II, II—III, III—IV are "tables" = tables at which divisions of the historic (mostly Biblical) chronology are supplied, from the nodes, with intermediate, probable, carbon 14 levels (counted in "percent modern Carbon" = pmC). The left hand of each states how many years are involved, what carbon decay that normally involves and what compensation that normally involves, so, 100 years normally mean a decay to 98.798 % of the initial value, which means that the normal carbon 14 production is 100 - 98.798 = 1.202 pmC.

The right hand of each calculates how much faster the carbon 14 actually rose, so, 1) initial pmC * decay-remainder percentage = what's left of the original carbon when it ends, 2) that value is subtracted from the final pmC, to get the pmC units added, 3) then that addition is divided by the normal addition for such a time.

If for instance, in 100 years, carbon 14 had risen from 25 pmC to 40 pmC, then 1) 25 pmC * 98.798 % = 24.6995 pmC; 2) 40 pmC - 24.6995 pmC = 15.3005 pmC; and 3) 15.3005 pmC / 1.202 pmC = 12.729,201,331,114,808,7 times faster. During these initial calculations, I'll give the decimals in full, without rounding, to get as exact a value of the rise as possible in each table.

I) 2957 BC
1.628 pmC => 34 000 extra years => 34 000 + 2957 = 36 957 BC = c. 39 000 BP
 
I - II 2957 - 2607 = 350
95.854 %, compensates normally 4.146 pmC
 I - II
1.628 * 95.854 / 100 = 1.56050312
43.438 - 1.56050312 = 41.87749688
41.87749688 / 4.146 = 10.1006987168355041
 
II) 2607 BC
43.438 pmC => 6900 extra years => 6900 + 2607 = 9507 BC
 
II - III 2607 - 2556 = 51
99.385 %, compensates normally 0.615 pmC
 II - III
43.438 * 99.385 / 100 = 43.1708563
51.76 - 43.1708563 = 8.5891437
8.5891437 / 0.615 = 13.9660873170731707
 
III) 2556 BC
51.76 pmC => 5450 extra years => 5450 + 2556 = 8006 BC
 
III - IV 2556 - 1935 = 621
92.763 %, compensates normally 7.237 pmC
 III - IV
51.76 * 92.763 / 100 = 48.0141288
82.753 - 48.0141288 = 34.7388712
34.7388712 / 7.237 = 4.8001756528948459
 
IV) 1935 BC
82.753 pmC => 1550 extra years => 1550 + 1935 = 3485 BC


Now we get to divide each table into intermediate moments in time, and since the death of Noah to the birth of Peleg is 51 years, roughly corresponding to Babel, I will take a third of that, 17 years, as my "module" ... we still need as full decimals as possible right now, bear with me, please.

17 years / 5730 years = 0.0029668411867365

Now we raise 50 % or I'll actually use 0.5 to this value:

0.5^0.0029668411867365 = 0.9979456554564613851

For normal replacement in 17 years, we deal with:

1 - 0.9979456554564613851 = 0.0020543445435386149

Let's translate it to pmC, which, being a percentage, multiplies the value by 100 because percentages automatically involve dividing by 100.

The normal substitution for carbon 14 in 17 years is then 0.20543445435386149 pmC.

Before calculating each table, I then multiply this by the "how much faster" ratio. This is what is added within the table after each multiplication by the 17 year decay, instead of the normal substitution for carbon 14. The result in each place of a table is then used to calculate the extra years and is only after that actually rounded to 3 decimals. The second line of each place only gives the back then carbon 14 content and the carbon date, not the term in between, the extra years as conclusion from the pmC value and as added to real date to give the carbon date.

I - II
0.20543445435386149 * 10.1006987168355041 = 2.075031529485850690578760965727109

2957 BC
1.628 pmC, so dated 36 957 BC
2940 BC
3.7 pmC, so dated 30 240 BC
2923 BC
5.767 pmC, so dated 26 523 BC
2906 BC
7.83 pmC, so dated 23 956 BC
2889 BC
9.889 pmC, so dated 22 039 BC
2872 BC
11.944 pmC, so dated 20 422 BC
2855 BC
13.994 pmC, so dated 19 105 BC
2838 BC
16.041 pmC, so dated 17 988 BC
2821 BC
18.083 pmC, so dated 16 971 BC
2804 BC
20.121 pmC, so dated 16 054 BC
2787 BC
22.154 pmC, so dated 15 237 BC
2770 BC
24.184 pmC, so dated 14 520 BC
2753 BC
26.209 pmC, so dated 13 803 BC
2736 BC
28.23 pmC, so dated 13 186 BC
2719 BC
30.247 pmC, so dated 12 619 BC
2702 BC
32.26 pmC, so dated 12 052 BC
2685 BC
34.269 pmC, so dated 11 535 BC
2668 BC
36.274 pmC, so dated 11 068 BC
2651 BC
38.274 pmC, so dated 10 601 BC
2634 BC
40.271 pmC, so dated 10 134 BC
2617 BC
42.263 pmC, so dated 9717 BC


II - III
0.20543445435386149 * 13.9660873170731707 = 2.869115527441312168292912422926343

As this one is the fastest buildup of all, you may ask why? Well, I think the Younger Dryas added radioactive carbon, and that during the following decades, it's mixing with the air further down.

2607 BC
43.438 pmC, so dated 9507 BC
2590 BC
46.218 pmC, so dated 8990 BC
2573 BC
48.992 pmC, so dated 8473 BC
2556 BC
51.761 pmC, so dated 8006 BC


Here the carbon 14 substitution slows down.

III - IV
0.20543445435386149 * 4.8001756528948459 = 0.986121466055143495675731583494391

2556 BC
51.76 pmC, so dated 8006 BC
2539 BC
52.64 pmC, so dated 7839 BC
2522 BC
53.518 pmC, so dated 7672 BC
2505 BC
54.394 pmC, so dated 7555 BC
2488 BC
55.268 pmC, so dated 7388 BC
2471 BC
56.141 pmC, so dated 7221 BC
2454 BC
57.012 pmC, so dated 7104 BC
2437 BC
57.881 pmC, so dated 6937 BC
2420 BC
58.748 pmC, so dated 6820 BC
2403 BC
59.613 pmC, so dated 6703 BC
2386 BC
60.477 pmC, so dated 6536 BC
2369 BC
61.339 pmC, so dated 6419 BC
2352 BC
62.199 pmC, so dated 6302 BC
2335 BC
63.057 pmC, so dated 6135 BC
2318 BC
63.914 pmC, so dated 6018 BC
2301 BC
64.769 pmC, so dated 5901 BC
2284 BC
65.622 pmC, so dated 5784 BC
2267 BC
66.473 pmC, so dated 5667 BC
2250 BC
67.323 pmC, so dated 5500 BC
2233 BC
68.17 pmC, so dated 5383 BC
2216 BC
69.017 pmC, so dated 5266 BC
2199 BC
69.861 pmC, so dated 5149 BC
2182 BC
70.704 pmC, so dated 5032 BC
2165 BC
71.544 pmC, so dated 4915 BC
2148 BC
72.384 pmC, so dated 4798 BC
2131 BC
73.221 pmC, so dated 4731 BC
2114 BC
74.057 pmC, so dated 4614 BC
2097 BC
74.891 pmC, so dated 4497 BC
2080 BC
75.723 pmC, so dated 4380 BC
2063 BC
76.553 pmC, so dated 4263 BC
2046 BC
77.382 pmC, so dated 4146 BC
2039 BC
78.209 pmC, so dated 4089 BC
2022 BC
79.035 pmC, so dated 3972 BC
2005 BC
79.859 pmC, so dated 3855 BC
1988 BC
80.681 pmC, so dated 3788 BC
1971 BC
81.501 pmC, so dated 3671 BC
1954 BC
82.32 pmC, so dated 3554 BC
1937 BC
83.137 pmC, so dated 3487 BC

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