02a row examples

Local changes become complete chronological fields

Write an ordinary row as begetting age $b$ , remaining years $r$ , and lifespan $L=b+r$ . A compatible change has the form

(b,r,L)\longmapsto(b+d,\ r+e-d,\ L+e).

Here $d$ changes the birth interval and $e$ changes lifespan. If $e=0$ , years move between the two parts of a life while its total stays fixed. If $e=d$ , remaining years stay fixed while both the begetting age and lifespan rise. These are different local mechanisms even when the same century appears.

Row and comparison	Begetting age	Remaining years	Lifespan	What the change preserves
Adam, MT → LXX	130 → 230	800 → 700	930 → 930	Lifespan
Peleg, MT → LXX	30 → 130	209 → 209	239 → 339	Remaining years
Eber, MT → SP	34 → 134	430 → 270	464 → 404	Neither part nor lifespan; $d=100,e=-60$
Cainan, native LXX insertion	130	330	460	Adds a named row with two distinct measures

Thus Regular and Cumulative differences are not rival readings of a single change total. They select different components of the source rows. Adam’s change is visible to a Regular birth chain and invisible to a lifespan sum. Peleg’s change is visible to both. Cainan contributes 130 or 460 according to the declared measurement.

Source basis: File18 selected rows; Strategy §3.2; C1162–C1189.

Local changes become complete chronological fields

Linked sources and evidence