The Forge

The science of the fourth and fifth industrial revolutions.

We operate at the intersection of Mathematical Logic, Systems Engineering, and Industrial AI. The Forge is Ghost Citadel’s research division—a feedback loop between academic rigor and real-world implementation.

We translate the vision of pioneers in computer vision and engineering into deterministic, high-performance systems.

Research Labs

Formal Systems & PLT

FIELD: PROGRAMMING LANGUAGE THEORY

We explore Formal Verification for industrial codebases. By applying mathematical modeling to C++ and Rust kernels, we ensure that safety-critical systems in Industry 4.0 are not just "tested," but mathematically proven to be correct.

The ML Laboratory

FIELD: STOCHASTIC MODELING

We build alternative implementations for machine learning algorithms using functional principles and coordinate-free linear algebra. Our focus is on discriminative models that run with extreme efficiency on ARM-based edge hardware.

Bio-Cybernetics (Industry 5.0)

FIELD: HUMAN-MACHINE INTERFACING

We investigate the ethical and technical implications of the human-machine loop. From low-latency feedback for robotics to the integration of BCI (Brain-Computer Interfaces) in high-stakes environments, we forge the bridges for a human-centric future.

The Innovation Loop

1. ORIGINAL RESEARCH

We provide a platform for scientists from leading universities to perform original research in Linux-first systems.

2. VALIDATION

We validate state-of-the-art industry solutions within rigorous frameworks of thought and mathematical models.

3. IMPLEMENTATION

We build new solutions (The Scriptorium) based on the validated research from our labs.

Active Research Portfolio

High-Resolution Analytics

Investigation into using ML to artificially increase the resolution and accuracy of commodity industrial sensors—finding the signal in the thermal noise.

Deterministic Netcode

Applying non-classical logic to distributed systems to minimize latency in real-time industrial collaboration tools.

Optical Design for ARM

Translating the vision of pioneers in optical design into working computer-vision solutions for low-power mobile Linux devices.

Strategic Alliances

Innovation is born from collaboration. We partner with those ready to move beyond theory.

For Research Institutions

We provide the "Hostile Environment" for your theories. Test your mathematical models against real industrial datasets and hardware limits.

For Industry Pioneers

Partner with us to translate complex academic findings into working Python, Rust, or R solutions for your business model.