Research Data

Research Data Visualization

Experimental results from the Terminals OS research program. Realizability dynamics sweeps across coupling strengths, system sizes, and topologies.

Identity rate
64/64
Conv. = Real.
Topologies
4
N=7, 4 at N=14
K range
0.5 - 8.0
16 coupling values
Seeds/point
64
Monte Carlo trials

Convergence ≡ Realizability

At N=7, convergence rate and realizability rate are identical across all topologies and coupling strengths -- the central finding.

12345678Coupling strength K0%25%50%75%100%Rate

Critical Coupling Kc by Topology

The coupling strength K where realizability first exceeds 50%. Ring(14) never reaches 50% within K=8 (shown capped with indicator).

02468Kc (50% threshold)1.4N7Fano2.6N14Heawood1.6N7>8N14Ring1.2N72.6N14Sparse-31.4N72.2N14Complete
N=7 (opaque)
N=14 (faded)

Mean Order Parameter R vs K

Phase transition: how mean final R evolves with coupling strength at N=7. Higher connectivity topologies reach coherence at lower K.

12345678Coupling strength K0.00.20.40.60.81.0Mean RR=0.9 threshold
Fano
Ring
Sparse-3
Complete

N=7 vs N=14 Realizability

Solid lines show N=7, dashed lines show N=14. Larger systems require stronger coupling to achieve the same realizability rate.

12345678Coupling strength K0%25%50%75%100%Realizability Rate
Fano (N=7)
Heawood (N=14)
Ring (N=7)
Sparse-3 (N=7)
Complete (N=7)
Ring (N=14)
Sparse-3 (N=14)
Complete (N=14)

Source: data/research/realizability-dynamics-results.json · 128 entries · 64 seeds per data point