The Temperature of Transformation

How Ω determines whether rupture reconstitutes or transforms

Total Ruptures
0 vs 0
Basin Changes
0 vs 0
Change Rate
0% vs 0%
Time
0
Rigid System (Low Temperature)
Ω = 0.05
Position
0.250
C / Ω
0%
Ruptures
0
Changes
0
Fluid System (High Temperature)
Ω = 0.80
Position
0.250
C / Ω
0%
Ruptures
0
Changes
0

Low Ω: Rigid Dynamics

With low temperature, the exp(C/Ω) weighting becomes sharply peaked. Only the highest-coherence moments dominate regeneration.

The system ruptures frequently but most ruptures reconstitute the same patterns—many ruptures, low success rate per rupture.

exp(C/Ω) with small Ω → peaked weighting

Only recent/strongest memories count

High Ω: Fluid Dynamics

With high temperature, the exp(C/Ω) weighting becomes flat. The full breadth of accumulated history informs regeneration.

Ruptures are rare, but when they occur, genuine transformation is far more likely—fewer ruptures, high success rate per rupture.

exp(C/Ω) with large Ω → flat weighting

Entire history contributes equally