Suppose I were Wrong on Chronological Matches Related to Egypt? · If I Got Douglas Petrovich Right, Sesostris III was Pharao when Joseph Received his Family
He stated sth like Sesostris II for the pharao of the plentiful years and Sesostris III for that of the famine years.
Let's put Sesostris III instead of Djoser at (corresponding to) 1700 BC.
1510 + 215 = 1725 - 25 = 1700. 190 years.
Let's further put Exodus in 1446 BC, c. 200 years after the death of Joseph's pharao, alias on this view Sesostris III. Or 190 years. 1636.
1446 + 430 = 1876 BC. Genesis 14 is between 1876 and 1865, let's put it in 1870 BC.
- 1870 BC
- 82.104 pmC, so dated as 3500 BC (1)
- 1636 BC
- 97.562 pmC, so dated as 1840 BC (2)
- 1446 BC
- 100 pmC, dated as 1446 BC.
1870 to 1636 is 234 years. 1636 to 1446 is 190 years. The former can be neatly divided into 6 periods of 39 years. The latter into five periods of 38.
234 years makes for a decay to 97.209 %(3). Normal replacement is 2.791 pmC (4). Actual replacement is 17.396 pmC (5). This is 6.233 times faster than carbon 14 is produced today (6).
190 years makes for a decay to 97.728 % (7). Normal replacement is 2.272 pmC (8). Actual replacement is 4.654 pmC (9). This is 2.048 times faster than carbon 14 is produced today (10).
39 years makes for a decay to 99.529 % (11). Normal replacement is 0.471 pmC (12). 6.233 times that means an actual replacement of 2.934 pmC (13).
38 years makes for a decay to 99.541 % (14). Normal replacement is 0.459 pmC (15). 2.048 times that means an actual replacement of 0.939 pmC (16).
This we now insert into a model of the carbon 14 rise (17). And deduce the carbon years accordingly (18)
- 1870 BC
- 82.104 pmC, so dated as 3500 BC
- 1831 BC
- 84.652 pmC, so dated as 3208 BC
- 1792 BC
- 87.187 pmC, so dated as 2925 BC
- 1753 BC
- 89.71 pmC, so dated as 2651 BC
- 1714 BC
- 92.222 pmC, so dated as 2383 BC
- 1675 BC
- 94.721 pmC, so dated as 2123 BC
- 1636 BC
- 97.562 pmC, so dated as 1840 BC
The first table is quite OK.
- 1636 BC
- 97.562 pmC, so dated as 1840 BC
- 1598 BC
- 97.703 pmC, so dated as 1790 BC
- 1560 BC
- 98.194 pmC, so dated as 1711 BC
- 1522 BC
- 98.683 pmC, so dated as 1632 BC
- 1484 BC
- 99.17 pmC, so dated as 1553 BC
- 1446 BC
- 99.655 pmC, so dated as 1475 BC
The second table didn't work out quite well. Let's do it all over again.
100 - 99.655 = 0.345 pmC, divided by 5 is 0.069 pmC. Add that to the "actual replacement" value.
- 1636 BC
- 97.562 pmC, so dated as 1840 BC
- 1598 BC
- 98.123 pmC, so dated as 1755 BC
- 1560 BC
- 98.682 pmC, so dated as 1670 BC
- 1522 BC
- 99.238 pmC, so dated as 1585 BC
- 1484 BC
- 99.791 pmC, so dated as 1501 BC
- 1446 BC
- 100.342 pmC, so dated as 1418 BC
It seems to be hard to get this one right, doesn't it?
But am I even right in presuming exactly 100 pmC for 1446 BC?
High-Precision Decadal Calibration of the Radiocarbon Time Scale, AD 1950–6000 BC (19)
Minze Stuiver (a1) and Bernd Becker (a2)
https://www.cambridge.org/core/journals/radiocarbon/article/highprecision-decadal-calibration-of-the-radiocarbon-time-scale-ad-19506000-bc/F1AB60097B0184501418D3EAEAD2EA90
Actually, when I look it up, 1440 BC has 3200 BP (or just a little older). The same is correct for 1450 BC. However, this is given in the Libby halflife, so, 3200 * 5730 / 5568 = 3293, 1950 AD - 3293 years = 1343 BC.
1446 BC should have a raw carbon date of 1343 BC (20=. I'm not going to do that table, however. Right now.
I think the point is clear, though. The dates could have more wiggles than shown in my here tables, indeed, for the second very probably should. But the dates cannot be replaced by more standard dates of Egyptology with Narmer in 3200 BC and so on.
Nor can one keep it indefinitely in a haze, like standard carbon dates from 1440 BC on, a set-off, as per Bietak, before that, but not precisely given how much.
Hans Georg Lundahl
Paris
St. Heribert of Cologne
16.III.2026
Coloniae Agrippinae sancti Heriberti Episcopi, sanctitate celebris.
(1) 3500 - 1870 = 1630, 0.5^(1630/5730) = 0.8210444795020451
(2) 1840 - 1636 = 204, 0.5^(204/5730) = 0.9756245087411058
(3) 0.5^(234/5730) = 0.9720903423121362
(4) 1 - 0.9720903423121362 = 0.0279096576878638
(5) 0.8210444795020451 * 0.9720903423121362 = 0.79812940913263271482117044974262
0.9720903423121362 - 0.79812940913263271482117044974262 = 0.17396093317950348517882955025738
(6) 0.17396093317950348517882955025738 / 0.0279096576878638 = 6.23300131893586196815659829017975051
(7) 0.5^(190/5730) = 0.9772781807633073
(8) 1 - 0.9772781807633073 = 0.0227218192366927
(9) 0.9756245087411058 * 0.9772781807633073 = 0.95345654501060327699244386721234
1 - 0.95345654501060327699244386721234 = 0.04654345498939672300755613278766
(10) 0.04654345498939672300755613278766 / 0.0227218192366927 = 2.04840354130778693932270612201569411
(11) 0.5^(39/5730) = 0.9952933554500555
(12) 1 - 0.9952933554500555 = 0.0047066445499445
(13) 0.0047066445499445 * 6.23300131893586196815659829017975051 = 0.029336521687566354958775586549781150053146244346695
(14) 0.5^(38/5730) = 0.9954137614730688
(15) 1 - 0.9954137614730688 = 0.0045862385269312
(16) 0.0045862385269312 * 2.04840354130778693932270612201569411 = 0.009394467239848078262587230361261737044734296215232
(17) [prior carbon 14, in decimal fraction] * [decay in decimal fraction] + [actual replacement in decimal fraction] = [carbon 14 in decimal fraction]
(18) 5730 * log([carbon 14 in decimal fraction]) / log(0.5) + [BC real year] = [BC carbon year]
(19) Should be consulted in preference over my tables for as soon as 100 pmC are reached.
(20) Raw date as per Cambridge halflife, which is not the standard for giving uncalibrated dates.