§8 · immunity
Immune memory is a held basin; training is a pre-tilt; priming can be inherited
Immune memory is a held basin whose lifetime (mean first-passage time) ranks ascending-γ; trained immunity is a pre-tilt that lowers the drive needed to recall (from 0.7065 to 0.2868); and the primed sign can ride the germline RNA payload, inheritable but fading by F3 if not re-written. [V]/[O].
Over 4 compartments at noise D = 0.30, the memory lifetime EMERGES from the measured escape statistic and rises with γ (RUNX1→PAX5). A primed switch needs less drive to recall, and the inherited priming sign survives one erasure at 0.7452.
Durability emerges, it is not asserted
Memory is the time a switch stays in its protected basin. Measured as an escape statistic (not read off the closed-form barrier), the lifetime rises with γ across the four immune masters — a deeper barrier holds memory longer.
| master gene | γ | escape rate | MFPT |
|---|---|---|---|
| RUNX1 | 1.3225 | 0.02488 | 40.20 |
| TLX1 | 1.4228 | 0.02463 | 40.60 |
| FOXN1 | 1.4533 | 0.02451 | 40.80 |
| PAX5 | 1.4892 | 0.02437 | 41.04 |
Training lowers the distance to the flip
On PAX5 (γ = 1.4892, spinodal 0.6995), a naive switch needs a drive of 0.7065 to recall, while a pre-tilted (trained) switch needs only 0.2868. Trained immunity is a standing tilt that shortens the path to the protected state.
Priming can cross to the next generation
The primed sign can ride the germline RNA payload through one erasure (survival 0.7452), inheritable in direction but fading by F3 unless re-written. The sign is read; the absolute inherited protection is [O].