Growth-Plate Developmental Order from Gamma Rank

Developmental THRESHOLD order is read directly off γ: the functional spinodal is monotone in γ, so ranking the measured masters by γ reproduces the cited patterning/differentiation sequence limb skeleton→cartilage→muscle (TBX5→SOX9→MYOD1) [V]. Absolute endochondral ossification timing is drive-gated and left open [O].

Sorting organs by ascending γ gives ['bone', 'limb_skeleton', 'cartilage', 'skeletal_muscle']. Over the three patterning/differentiation masters this is exactly the cited order TBX5(1.4392)→SOX9(1.4598)→MYOD1(1.4933). RUNX2's low γ=1.2414 ranks bone's switching threshold earliest — consistent with early osteochondroprogenitor RUNX2 — but ossification waits on the cartilage template, so absolute timing is [O].

Order without tuning

The growth plate's developmental ordering is not a free parameter here: it is a readout of the same γ that built each organ. Because the functional spinodal increases monotonically with γ, a lower-γ master crosses its switching threshold under a smaller drive and is therefore ranked earlier.

Ranking the measured patterning/differentiation masters by γ gives limb skeleton (TBX5, 1.4392)→cartilage (SOX9, 1.4598)→muscle (MYOD1, 1.4933) — the cited developmental sequence, reproduced from independently measured promoter numbers [V].

An honest negative: bone timing

The measured RUNX2 γ=1.2414 is the LOWEST of the four, so the γ-rank places bone's switching THRESHOLD earliest. This is consistent with the documented early expression of RUNX2 in osteochondroprogenitors. It is NOT a claim that bone ossifies first: endochondral ossification is a STATE/drive-gated EVENT — the cartilage template must form and signal before mineralization proceeds. 'Parts present ≠ trait.' Absolute ossification timing is therefore graded [O] and not forced from γ. The threshold-ordering result is reported only over the three patterning masters, where it holds exactly.