THE STABILITY EQUATION
Every collapse has a structure. Every structure has a threshold.
We build instruments for structural risk.
- Deterministic engine: not what will happen, but what cannot survive.
- Domain-agnostic: one equation, fifteen industry adapters.
- Validated: 180,320+ simulation runs, reproduced canonical game theory.
- EU-based. Production-grade. Pre-seed stage.
KAIROS
Deterministic Simulation Engine
Λ Lambda — Agency / Pressure
The force an entity exerts on a system. In finance, this is leverage. In AI, model capability. In geopolitics, military pressure. Lambda measures how hard an actor pushes against the boundaries of stability.
Γ Gamma — Buffer / Friction
The structural resistance that keeps systems intact. Capital reserves in banking, alignment constraints in AI, treaty frameworks in defense. Gamma is what stands between pressure and collapse.
When Lambda exceeds Gamma, the system crosses an irreversible threshold. KAIROS calculates exactly where that threshold lies.
KAIROS // Rosetta
15 Domain Adapters
The stability equation is domain-agnostic — it describes the relationship between pressure and resistance in any system. Rosetta is the translation layer that maps Lambda and Gamma to the native language of each industry. The same math that detects a banking crisis can identify an AI alignment failure or a supply chain collapse.
One equation. Fifteen languages.
KAIROS // Agon
5 Simulation Products
Current strategy games use arbitrary stability points and scripted collapse events. KAIROS replaces them with mathematically grounded dynamics — real stability thresholds, emergent instability, and replayable traces of futures narrowly averted.
64 ticks/s · 120 simultaneous agents · 32μs decode overhead
Ananke // Spindle
Validated Research
Axelrod Cooperation Dynamics
Reproduced all 8 iterated prisoner's dilemma dynamics from first principles — no domain calibration required.
Financial Crisis Reconstruction
Predicted collapse structure of the financial crisis before any domain-specific calibration was applied.
Paperclip Maximizer Experiment
Constrained agents outperform pure maximizers across all metrics. Cliff's delta = 1.0 (maximum effect size).
Tragedy of the Commons Simulation
Sharp phase transition at f*=0.50 depletion threshold. Institutional rescue mechanisms validated.
First Principles
Ananke
Ἀνάγκη — Necessity
In Greek cosmology, Ananke is the force that even gods cannot override — the structural constraint that holds the cosmos in order. Her spindle turns the celestial spheres; her laws admit no exception.
In the equation, she is Gamma (Γ) — the institutional constraint, the reserve ratio, the treaty framework, the alignment boundary. The thing that holds.
Kairos
Καιρός — The Opportune Moment
Not chronos — sequential, measurable time — but the critical instant when conditions converge and the window for action opens or closes. The ancient Greeks carved him with a razor's edge: once passed, he cannot be seized again.
In the equation, Kairos is the moment Λ/Γ → 1 — when pressure meets the limit of what structure can bear. The engine exists to find that moment before it finds you.
Request Early Access to KAIROS
KAIROS is currently in pre-release. We're onboarding select partners across finance, defense, AI safety, and adjacent domains. Submit your details and we'll reach out with next steps.
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