Science / Framework

Pe Phase Space

28 substrates across 8 domains. Each point is one real platform or substance, placed by its constraint coefficient c (horizontal axis) and drift magnitude Pe (vertical axis). Hover any point to inspect it. The amber threshold at Pe = 1 marks where void mechanics statistically dominate. Below Pe = 0: constraint wins. The dashed vertical marks c0 ≈ 0.387 — the phase boundary.

20 convergences
0 / 26 kill conditions fired
24 / 27 Bradford Hill criteria
Cohen's d = 3.6
p < 10−52 Fisher
1,344 platforms scored

Reading the chart

Top-left — Void dominates
Low c (opaque, reactive, engaged) + high Pe. No structural exit mechanism. Regulatory concern.
Bottom-right — Constraint holds
High c (transparent, invariant, independent) + negative Pe. Structured exits. Aspirin and Cons. Reports anchor this corner.
Amber line — Pe = 1 threshold
Drift mechanics statistically dominate above this line. EU AI Act regulatory trigger. 20 convergences confirm this boundary.
Teal line — Pe = 0 boundary
Sign flip at c0 = BA/BΓ ≈ 0.387. Above: net drift force. Below: net constraint force. Phase transition.

Pe = sinh(2 · (BA − c · BΓ)) · K  |  BA = 0.867 BΓ = 2.244 K = 16  |  c = 1 − (O+R+α)/9