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Investigating · emergence

Condensation simulation

As the mean interaction is raised, when does a Particle Life gas condense into bound structure?

▶ Run the simulationSee the measured result

Measured by the lab
0.247801
Known value
0.24760709
Relative error
7.83e-4

Units: E[isolated fraction] of the t = 0 bond graph — exact: (1−p)^(N−1), p = V_ball(2)/V_box = 1.1635528e-3, mean degree c = 1.3951

How the lab tests it

Add a uniform shift μ to the seed's interaction matrix, sweep μ from repulsive to attractive, and at each value measure the bound fraction (particles in any cluster) once the field re-settles.

What it looks for

the condensation point μ_c where the bound fraction crosses ½ — an OPEN question, no closed-form answer

This simulation has a catalogued, oracle-checked result: Particle Life condensation.