ZEHEN Labs
ZEHEN Labs

The structure
underneath.

We find mathematical structure — phase transitions, coupling dynamics, free energy landscapes — hiding inside complex systems. Then we build tools on it. Physics, network theory, information theory, dynamical systems. Whatever the problem needs.

Nc ~ 3.5B
Median Critical Scale
102 models
63 Base + 39 Frontier
r = −0.989
Pre-transition
NeurIPS 2026
2 Papers Submitted
Explore the Dashboard → Read the Papers
CAPE

Capability Coupling Analysis
of Phase Emergence

Pick two capabilities that should be independent. Measure their coupling as a model scales. Find where coupling changes sign. That sign-flip is a phase transition — and it tells you everything about what your model can and can’t do.

Below Nc
Alignment taxes capabilities. Nc varies by family and architecture — ~3.5B median for standard training, lower or absent for curated models.
At Nc = 3.5B
Critical point. Maximum susceptibility. Small interventions have maximum leverage.
Above Nc
Capabilities cooperate. Scale freely. The same pattern repeats at every cascade level.
Nc = 3.5B
Critical Scale
r = −0.989
Pre-transition Coupling
0.513
Frontier Slope
5.6%
ODE Cross-Prediction MAE
63 + 39
Base + Frontier Models
16
Model Families
10
Frontier Labs
7
Falsifiable Predictions
Nc = 3.5B
Critical Scale
r = −0.989
Pre-transition Coupling
0.513
Frontier Slope
5.6%
ODE Cross-Prediction MAE
63 + 39
Base + Frontier Models
16
Model Families
10
Frontier Labs
7
Falsifiable Predictions
Dashboard

Try It

Enter your model’s benchmarks. Get its phase, coupling trajectory, and what to do next.

CAPE Dashboard
Phase classification, h-field diagnostic, ODE trajectory fitting, frontier coupling analysis, self-steering demo, and 7 falsifiable predictions. Works for any model from 70M to frontier scale.
63 + 39 models
12 tools
10 labs
Open Dashboard →
Papers

Current Work

Two papers submitted to NeurIPS 2026. More in preparation across multiple domains.

3A
“Lying Is Just a Phase” — The Hidden Alignment Transition in Language Model Scaling
NeurIPS 2026
Submitted
3B
“The Growing Pains of Frontier Models” — Capability Coupling at Frontier Scale
NeurIPS 2026
Submitted
All Papers →
About

ZEHEN Labs

We look for mathematical structure in complex systems — drawing from physics, dynamical systems, network theory, information theory, and whatever else the problem needs. When we find structure, we build tools on it.

Current focus: AI scaling laws. We discovered that the coupling between model capabilities undergoes a phase transition at a critical scale, and that transition is predictable, measurable, and actionable.

Founded by Adil Amin. Based in Madison, WI.

ذہن
ze·hen  /ˈzɛ.hɛn/
mind · intellect · understanding
Urdu · Persian

Get in Touch

Interested in collaboration, consulting, preprints, or early access?

adil@zehenlabs.com GitHub