Organ Emergence from Measured Master-Gene Gamma

Four musculoskeletal organs emerge deterministically from a single MEASURED master-gene number γ on the jamming substrate: skeletal muscle (MYOD1, γ=1.4933), cartilage (SOX9, 1.4598), limb skeleton (TBX5, 1.4392) and bone (RUNX2, 1.2414). γ is read-only and never fitted; identity and order are inherited from the DNA volume.

Each organ is an R19 bistable switch whose functional spinodal and relative size follow from its measured γ. The four values order as RUNX2 1.2414 < TBX5 1.4392 < SOX9 1.4598 < MYOD1 1.4933, fixing a developmental THRESHOLD ranking tested in §5. No coefficient is tuned: γ is imported from the 4D DNA Blueprint volume.

One measured number per organ

The musculoskeletal package emerges its organs by simulation, not by assertion. Organ identity and developmental order are owned by the DNA morphogenesis gene-clock and cited here; this volume is the single source only for the load-bearing DYNAMICS (§2–§6) and the carcinogen dose-response (§7).

Every organ is built as the same R19 bistable switch parameterised by one read-only quantity: the master-gene composition γ = −mean nearest-neighbour stacking ΔG₃₇ (SantaLucia 1998) over the proximal promoter. RUNX2's γ was MEASURED this cycle from NC_000006.12 (window TSS−2000..+500, MANE NM_001024630.4) by the identical pipeline; γ=1.2414 is measured, not fitted.

Emergent table (all values live from the engine)

The functional spinodal s* = 2(γ/3)^3/2 increases monotonically with γ, so a lower-γ organ crosses its switching threshold under a smaller drive. Relative size scales as γ^3/2 through the dwell law. These primitives are inherited from the jamming substrate and are not re-derived here.