03 regular kernel

The Regular kernel has two generators

The first generator is the located sequence of row changes. In the matched Cainan-OFF comparison, the complete MT/LXX Regular difference from Adam through Abraham is

The steps record source changes at particular names. Six pre-Flood century changes account for the 600 difference between the Creation level 1250 and Noah level 650. Native Cainan adds 130 from Arphaxad upstream, retaining the native 1380/780 levels separately.

The second generator is the finite field of source variants. Let the Terah difference be $T=60$, Cainan’s Regular interval $C=130$, and the separately sourced Sojourn choice $S=215$. Their eight combinations give:

The consecutive gaps are $60|70|60|25|60|70|60$. The 70 and 25 are differences between combinations; they are not additional switches.

These structures meet in the Strategy’s fivefold formulas:

The row mechanism gives $12.5u$ and $6.5u$, where the observed century is $u=100$. Requiring the fivefold form yields $C=1.3u$ and $T=.6u$. Thus the coefficient five expresses a calibration between two source mechanisms. It does not itself generate the patriarchal ages.

SP supplies a further located comparison. Its post-Flood birth additions total 650; its pre-Flood shortening is $100+120+130=350$ in the completed-year comparison, leaving 300. The Lamech contribution retains its nominal 129 plus the one-year boundary completion, counted once. These locations explain more than the identity $950\pm300=1250,650$: the latter is a useful description of the resulting pair, while the row model explains its construction.

Source basis: File07 finite states; File18 source rows; C1253–C1264.