Econosysmographe™ is a quantitative risk intelligence platform that uses Riemannian geometry to detect systemic market stress before it appears in price volatility. Unlike traditional risk models (VaR, volatility, correlation matrices), it treats markets as curved geometric spaces and measures structural stress through the Topological Survival Score (TSS), curvature-based measures and the contagion network. It is a measurement layer that sits alongside your existing risk tools — not a trading signal.

The Universe Risk Framework is a mathematical framework developed by Evangelos Papadopoulos that models financial markets as geometric objects on a Riemannian manifold. It detects structural market ruptures before they manifest in observable price volatility, using the Papadopoulos Distance — a geodesic metric on the SPD(n) manifold of symmetric positive definite matrices. The framework is documented in five research papers published on SSRN.

The TSS is a single structural health indicator ranging from 0% to 100%, read against thresholds stated in advance. A TSS below 15% signals extreme systemic stress, where the market manifold is near collapse; a TSS above 80% signals an isotropic regime — a healthy, diversified market. Risk teams consult the TSS as an early structural reading, typically before stress surfaces in aggregate volatility.

They are the three states describing how price relationships across the market structure deform. Compression means the structure is being squeezed relative to its geodesic equilibrium; suture means relationships are holding together near equilibrium; rupture means they are breaking apart. These are measurements of structural deformation — documented with their thresholds — not buy or sell recommendations.

The platform is designed for multi-asset investment and risk teams at asset managers and institutional family offices — teams that already run a disciplined risk process and want an independent reading of market structure alongside it. Heads of Risk consult the daily reading; CIOs and portfolio managers follow the weekly analysis; model validation teams can re-run any reading.

Access starts with a 30-minute discovery session: we demonstrate the platform on current market data and identify where structural risk hurts in your process. No portfolio upload, no data transfer and no preparation are required — readings are computed on public market data only. You can book a session directly on this site.

The framework is grounded in five research papers published by Evangelos Papadopoulos on SSRN, covering the geometric foundations of the Universe Risk Framework, geometric rupture detection, the limits of martingale-based prediction, the Minsky Singularity, and the statistical behaviour of the measures. The discipline is also applied in public every week in The Three Manifolds, our written analysis of market structure, on record since April 2026. All papers are listed on our Research page.

A daily (D-1) dashboard reading — the structural stress score and its regime label, the integrity of the manifold, the Flash Condition Index and the contagion network showing where stress concentrates — plus a weekly written analysis of the market’s structure, and a published, reproducible methodology that validation teams can audit.

No. All outputs — including structural stress scores, geometric signals, regime labels and written analyses — are measurement and research information. They do not constitute investment, financial, trading or legal advice, and the platform does not produce buy or sell recommendations, price predictions or portfolio advice. SmartGreenInvest Ltd is not authorised or regulated by the Financial Conduct Authority (FCA). Users retain sole responsibility for their decisions.