Open research programme · Updated 3 September 2026

Research Roadmap

From mathematical foundations through reproducible software toward an open, evidence-dependent research horizon.

This roadmap describes the current development direction of the BenchEWS Research Programme. It is not a rigid promise, but a hypothesis-, simulation-, and evidence-driven outlook on how the research may evolve from mathematical foundations through software tools toward more advanced early-warning architectures.

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01 / Original figure

The canonical roadmap in its original form

The original figure summarises the four overarching development horizons of BenchEWS Studio.

Canonical Roadmap for BenchEWS Studio showing Studio 2.0, Studio 3.0 ECHO, the subsequent research programme and the long-term goal
Original figure · Canonical Roadmap for BenchEWS Studio
Open a readable enlarged view

The enlarged view stays on this page and can be closed at any time. On mobile devices, it can be moved horizontally.

02 / Status logic

Canonical development direction

Four horizons distinguish what is currently being developed from what could only become attainable through future evidence.

  • Already realised
  • In development
  • Research horizon
PhaseGoalQuality standardCompletion criterion
01

Studio 2.0

In development

A scientifically robust visual BenchEWS tool including CRTI.

Release quality, reproducibility and transparency.

Four indicators including CRTI fully implemented, verified and documented as a release.

02

Studio 3.0 ECHO

Proposed

A broader standard tool for early-warning and system diagnostics with 20 production EWS modules.

Research software at professional laboratory and engineering level.

Domain packs, benchmarks, provenance, uncertainty, visualisation and robust installation.

03

Research programme thereafter

Research horizon

A gradual approach to more general structural-dynamic relations in complex systems.

Substantially stronger theoretical and empirical evidence.

Domain invariance, external replication, mechanism evidence, mathematical theorems and falsification tests.

04

Long-term goal

Only if supported by evidence

Potential formulation of a law-like or natural-law relation.

The highest scientific standard.

Not by intention, but exclusively through mathematical derivation and independent evidence.

03 / Development path

Seven traceable development stages

Each stage links to the page where its current scientific or technical status can be examined.

  1. 01
    Already realised

    Mathematical Foundations

    Development of the theoretical basis for describing nonlinear complex systems.

    Examine the mathematics →
  2. 02
    Already realised

    BenchEWS Foundations

    Degrees of freedom, structural hardening, loss of self-correction, Frozen Kernel, FCQ and the Persistence Hypothesis are formulated as distinct, testable concepts.

    Open publications →
  3. 03
    Already realised

    BenchEWS Studio 1.x

    First released analysis environment for structural-dynamic investigation of complex systems; version 1.4.0 is the evidenced release state.

    View the release state →
  4. 04
    In development

    BenchEWS Studio 2.0

    Preparation of a four-indicator release with variance, lag-1 autocorrelation, skewness and CRTI.

    Examine development status →
  5. 05
    Research horizon

    BenchEWS Studio 3.0 ECHO

    Proposed expansion to 20 production EWS modules with stronger domain integration and improved validation.

    View the ECHO outlook →
  6. 06
    Research horizon

    Real-time & Multi-Domain Integration

    Goal of continuous cross-domain analysis with adaptive modules and real-time capability.

    Examine validation standards →
  7. 07
    Research horizon

    Predictive Early-Warning Architecture

    Long-term perspective: identifying systemic deterioration earlier and with greater qualitative resolution before visible instability dominates.

    View evidence boundaries →