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Adjacency Theory markAdjacency Theory

Lab · AT-1

Relational perturbation

Hold everything fixed, move one coupling, and measure the response of the effective separation and of the selected geodesic.

Perturbation setup

AT-0002 · Monotonic coupling response

D(A,B) as R on edge 0-15 sweeps its range. Amber lines mark geodesic switches.

2.392.652.923.193.45R_ijD(A,B)

Monotone non-increasing

yes

Prediction P-1

Geodesic switches

1

Baseline D

2.9951

AT-0004 · Noise robustness

60 bounded random perturbations of the full relational state.

mean D

2.9980

σ(D)

0.1736

Geodesic stability

97%

Fraction of samples keeping the baseline path

Amplitude

0.08

Current relational state

Edge 0-1 — R = 0.504Edge 1-2 — R = 0.573Edge 2-3 — R = 0.535Edge 3-4 — R = 0.431Edge 4-5 — R = 0.427Edge 5-6 — R = 0.445Edge 6-7 — R = 0.469Edge 7-8 — R = 0.551Edge 8-9 — R = 0.565Edge 9-10 — R = 0.519Edge 10-11 — R = 0.507Edge 11-12 — R = 0.523Edge 12-13 — R = 0.507Edge 13-14 — R = 0.534Edge 14-15 — R = 0.564Edge 0-15 — R = 0.540Edge 1-5 — R = 0.545Edge 10-14 — R = 0.560ABCDEFGHIJKLMNOP